Lewis G. Larsen President and CEO, Founder. Prof. Allan Widom Consultant and Member of Lattice Energy LLC Northeastern University, Dept.

Size: px
Start display at page:

Download "Lewis G. Larsen President and CEO, Founder. Prof. Allan Widom Consultant and Member of Lattice Energy LLC Northeastern University, Dept."

Transcription

1 Lattic Enrgy LLC Commrcializing LENRs: A Grn Nt Gnration Enrgy Sourc For Dns, Long Livd Portabl Powr Lwis G. Larsn Prsidnt and CEO, Foundr Prof. Allan Widom Consultant and Mmbr of Lattic Enrgy LLC Northastrn Univrsity, Dpt. of Physics DTRA/ASCO High Enrgy S&T Workshop Dcmbr 1, 006

2 Low Enrgy Nuclar Ractions in Condnsd Mattr Systms L. Larsn A. Widom

3 Low Enrgy Nuclar Ractions Controvrsial Rsarch I Eprimntal rsults don t fit wll with prsntly accptd knowldg of nuclar physics, particularly fusion ractions. According to accptd nuclar thory, many LENR rsarchrs should hav bn killd by lthal flus of nutrons or hard radiation. Many rsarchrs working in fild continu to insist that LENR s ar som form of cold fusion. Rproducibility of many aspcts of LENR s is poor, spcially rgarding css hat. Critics hav argud that LENR s ar junk scinc. Yt W Liv Fact: Thr is a larg rsidu of primntal data on LENR s that is quit solid and cannot b plaind away simply as primntal rror. 3

4 Low Enrgy Nuclar Ractions Controvrsial Rsarch II Fact: Although th quality of primntal work varis gratly, a significant body of primntal obsrvations ar wll don. Fact: To dat, no LENR rsarchrs hav bn killd by radiation. Problm: Standard Modl nuclar thory was not applid to plain th rsults. Solution: Dvlop a thory of LENR s which plain th data without invoking nw physics byond th Standard Modl. You want proof! I ll giv you proof! 4

5 Widom-Larsn Thory I Eplains a broad rang of primntal data in H- and D-basd systms. Answrs why thr ar not nrgtic nutrons typically producd. Answrs why thr ar not significant amounts of hard radiation. Answrs why thr ar not Coulomb barrirs to th rquird ractions. Eplains production of hlium isotops obsrvd in crtain primnts. Eplains production of css hat obsrvd in crtain primnts. Eplains compl product spctra sn in transmutation primnts. Enabls calculations of raction rats in agrmnt with primnts. Crats a road map that solvs prvious rproducibility problms. Prdicts nw LENR phnomna and also plains anomalous data and phnomna in othr filds of wak intraction nuclar physics. 5

6 Widom-Larsn Thory II LENR s primarily involv th wak intractions cration of nutrons, nutrinos and bta dcays. LENR s ar not cold fusion or othr forms of pur strong intractions. Eplains LENR s in trms of th accptd high nrgy Standard Modl. Etnds isting lctrowak modl to includ condnsd mattr collctiv ffcts. Dos not mploy any microscopic nw physics. Dos not involv pntration of a Coulomb barrir. Nutrons hav no charg. Elctrons and protons attract. Only lik chargs dflct from a Coulomb barrir. 6

7 Widom-Larsn Thory III Dos not violat any consrvation laws. It Is unusually multidisciplinary it incorporats accptd concpts from a numbr of diffrnt aras of physics, including collctiv many-body ffcts. 7

8 Widom-Larsn Thory IV 1. Many-body patchs of collctivly oscillating protons or dutrons form on mtallic hydrid surfacs loadd with hydrogn isotops.. Thn, th Born-Oppnhimr approimation braks down in th local rgion abov th patchs; collctiv oscillations of th protons or dutrons start to coupl loosly to th collctiv oscillations of narby Surfac Plasmon Polariton lctrons SPPs commonly found on surfacs of mtals. 8

9 Widom-Larsn Thory V 3. Coupling btwn SPP s and th patchs of protons or dutrons incrass th local lctric fild to valus > volts/mtr roughly th sam magnitud as Coulomb filds sn by innr lctrons in atomic nucli. 4. Intns local radiation fild raiss ffctiv mass of SPP lctrons so that thy can ract spontanously with narby protons or dutrons to crat nutrons. 5. Nutrons cratd collctivly hav hug quantum mchanical wavlngths microns and ar almost always absorbd locally by narby nucli. 9

10 Widom-Larsn Thory VI Havy-mass SPP lctrons in condnsd mattr systms hav th uniqu ability to dirctly absorb a gamma photon and rradiat it as a collction of much lowr-nrgy infrard and soft X-ray photons consrvation of nrgy applis. Thus, whn pctd prompt hard gamma photons ar mittd as a rsult of nutron absorption by local nucli or bta dcays, gammas ar intrcptd by havy SPP lctrons and rradiatd as much softr lctromagntic nrgy. As a rsult, LENR systms hav built-in gamma shilds that prclud trnal mission of hard radiation in th form of MV gamma- and X- rays. Sinc thr is intrnal absorption of gammas, no significant shilding is rquird for conducting saf laboratory primnts with LENR systms. 10

11 Widom-Larsn Thory VII Bginning in May 005, four paprs hav appard on th non-propritary aspcts of th Widom-Larsn thory. 1. Ultra Low Momntum Nutron Catalyzd Nuclar Ractions on Mtallic Hydrid Surfacs, Eur. Phys. J. C 46, Absorption of Nuclar Gamma Radiation by Havy Elctrons on Mtallic Hydrid Surfacs, cond-mat/ Nuclar Abundancs in Mtallic Hydrid Elctrods of Elctrolytic Chmical Clls, condmat/ Thortical Standard Modl Rats of Proton to Nutron Convrsions Nar Mtallic Hydrid Surfacs, nucl-th/ Futur paprs with nw collaborators ar in prparation. 11

12 Low Enrgy Nuclar Ractions Th Standard Modl Enrgy Sourcs Wak Intractions Chmical Clls Nuclar Transmutations and Abundancs Eploding Wirs Total Rats Conclusions 1

13 Th Standard Modl Wak Intraction Dcay of th Nutron n p ν 13

14 Enrgy Sourcs I Burning Hydrogn in th Sun via Wak Intractions. Th Sd Raction is p p d ν Optical Pictur and Thortical Modl of th Sun 14

15 Enrgy Sourcs II Simultanously Takn Picturs of th Sun Outsid X-ray Tmpraturs in th Solar Corona ar from Nuclar Ractions of Unknown Origin Optical Pictur X-ray Pictur Our Suggstd Sd Corona Wak Intraction is th Following: collctiv radiation nrgy p n ν 15

16 Wak Intraction Enrgy Sourc A. Widom and L. Larsn, Eur.Phys.J.C 46, collctivradiation nrgy mass rnormalizd lctron ~ p n ν nt nutron producing raction collctivradiation nrgy p n ν ~ If thr is a larg nough nutron flu, thn nuclar transmutations yild chmical abundancs. ~ p p d ν Possibl Sd Raction 16

17 17 Wak Intraction Enrgy Sourc d p ν d p n n p ν p ν α 4 Nuclar Nt Raction for Burning in th Sun Coulomb Barrir Intrmdiat Raction Intrmdiat Ractions without th Coulomb Barrir Thr is always a nutrino flu with wak intractions. t n t d n d p n n p ν α ν

18 18 Chmical Clls I LLLLLL A Z A Z A Z A Z n n p ν ν 1 1, 1, 1,, ~ ~ radiation

19 Chmical Clls II Rsonancs in σa G. Mily t al. s Eprimntal Abundancs 19

20 Chmical Clls III Nuclar Transmutations in Chmical Clls with Light Watr and Nickl Elctrods Abundancs takn from th primnts of G. Mily t al. 0

21 Nuclar Abundancs I C. Snddon & J.J. Cown Gnsis of th Havist Elmnts in th Milky Way Galay Scinc, 99, Th paks in th solar systm abundanc distribution around A=88, 138, 08 ar formd in th s-procss, whras th broadr companion paks shiftd to slightly lowr mass numbr ar r-procss paks. 1

22 Nuclar Abundancs II Maima around A=88, 138, 08 ar formd in th s-procss.

23 Eploding Wirs I Publishd In Scinc Spctroscopic Dtction of α-particls, i.. Hlium atoms 3

24 Eploding Wirs II Ruthrford has a big voltag but small currnt. On poor lctron arrivs at a tim. Ruthrford ss nothing.. Wndt and Irion hav a small voltag but big currnt. Many lctrons arriv at it collctivly. Wndt and Irion s transmutations. 4

25 Eploding Wirs III From A Study of Eploding Wirs by Bn Robrt Turnr. Ph. D. Thsis, California Institut of Tchnology 196 Powr input positiv for tims 0 < t < 6 μsc. Powr output positiv for tims 6 μsc. < t < 10 μsc. For transmutations in ploding wirs also s Invstigation of Arcing in Elctrical Fuss by Robrt Ernst Brown. Ph.D. Thsis, School of Enginring, Shffild Hallum Univrsity. 5

26 Eploding Wirs IV Whn many lctrons arriv at a proton, only on lctron may pirc into th proton s insid. That lctron dis. All of th othr lctrons hav but donatd a littl nrgy. Th plasma mods ar collctiv and in synchronization. It is not hard to throw a basball at a targt with an nrgy of 10 3 lctron volts, but as did not Ruthrford on will not s transmutations. Th lctrical currnts must b collctiv and th lctrons must transfr nrgy cohrntly and all togthr. 6

27 Gnral Thortical Formulation I From consrvation law argumnts, for vry nw nutron cratd by dstroying an lctron and a proton thr will b nutrino cratd. On thrby counts nw nutrons by counting nw nutrinos. That was th gam playd in counting nutrinos from th sun. Powr sourcs ar drivd from wak intractions. S wak = h ν η η ν μ iγ ν = η i ν γ μ μ μ = η d 4 Wak Intraction for Nutrinos 7

28 8 Gnral Thortical Formulation II at nutrino production rat pr unit tim pr unit volum ϖ = = = 4 wk ffctiv wk S i S d S h h ν η η ν Wak Intraction for Nutrinos ffctiv d c is ms c d P ffctiv I = = = h h 4 1/ / 4 ϖ ϖ Cration Probability for Nutrinos I = = = = = = I y d y y K y C m c K C d d m d c , : condnsd mattr sourc corrlation, vacuum nutrino corrlation 1 ϖ η η ν ν η ν ν η ϖ

29 9 Gnral Thortical Formulation III 1 1, 1 1 W W K right lft μ μ μ μ γ ψ η ψ γ η η η = = = Th rigorous sourc corrlation function yilding th total production rat which dos not dpnd on a two body corrlation function is which allows for th calculation of vry high ordr non-linar lctromagntic procsss

30 Conclusion I Wak intractions allow for many of th obsrvd low nrgy nuclar transmutations. Collctiv surfac plasma mods yild th rquird rnormalizd lctron proprtis. Nuclar transmutation distributions nar surfacs can b largly undrstood. Total rats from wak intractions appar to b in rasonabl agrmnt with many obsrvations. 30

31 Conclusion II This laboratory was only fundd to th tnt that bas mtals could b convrtd into gold! 31

Nuclear reactions The chain reaction

Nuclear reactions The chain reaction Nuclar ractions Th chain raction Nuclar ractions Th chain raction For powr applications want a slf-sustaind chain raction. Natural U: 0.7% of 235 U and 99.3% of 238 U Natural U: 0.7% of 235 U and 99.3%

More information

26-Sep-16. Nuclear energy production. Nuclear energy production. Nuclear energy production. Nuclear energy production

26-Sep-16. Nuclear energy production. Nuclear energy production. Nuclear energy production. Nuclear energy production Aim: valuat nrgy-gnration rat pr unit mass. Sun: (chck L /M, human ) nrgy-gnration rat producd from fusion of two nucli a + A: nrgy rlasd pr raction raction rat pr unit volum (includs cross sction and

More information

BETA DECAY VISUAL PHYSICS ONLINE

BETA DECAY VISUAL PHYSICS ONLINE VISUAL PHYSICS ONLINE BETA DECAY Suppos now that a nuclus xists which has ithr too many or too fw nutrons rlativ to th numbr of protons prsnt for stability. Stability can b achivd by th convrsion insid

More information

The pn junction: 2 Current vs Voltage (IV) characteristics

The pn junction: 2 Current vs Voltage (IV) characteristics Th pn junction: Currnt vs Voltag (V) charactristics Considr a pn junction in quilibrium with no applid xtrnal voltag: o th V E F E F V p-typ Dpltion rgion n-typ Elctron movmnt across th junction: 1. n

More information

0 +1e Radionuclides - can spontaneously emit particles and radiation which can be expressed by a nuclear equation.

0 +1e Radionuclides - can spontaneously emit particles and radiation which can be expressed by a nuclear equation. Radioactivity Radionuclids - can spontanously mit particls and radiation which can b xprssd by a nuclar quation. Spontanous Emission: Mass and charg ar consrvd. 4 2α -β Alpha mission Bta mission 238 92U

More information

Why is a E&M nature of light not sufficient to explain experiments?

Why is a E&M nature of light not sufficient to explain experiments? 1 Th wird world of photons Why is a E&M natur of light not sufficint to xplain xprimnts? Do photons xist? Som quantum proprtis of photons 2 Black body radiation Stfan s law: Enrgy/ ara/ tim = Win s displacmnt

More information

orbiting electron turns out to be wrong even though it Unfortunately, the classical visualization of the

orbiting electron turns out to be wrong even though it Unfortunately, the classical visualization of the Lctur 22-1 Byond Bohr Modl Unfortunatly, th classical visualization of th orbiting lctron turns out to b wrong vn though it still givs us a simpl way to think of th atom. Quantum Mchanics is ndd to truly

More information

The failure of the classical mechanics

The failure of the classical mechanics h failur of th classical mchanics W rviw som xprimntal vidncs showing that svral concpts of classical mchanics cannot b applid. - h blac-body radiation. - Atomic and molcular spctra. - h particl-li charactr

More information

Precise Masses of particles

Precise Masses of particles /1/15 Physics 1 April 1, 15 Ovrviw of topic Th constitunts and structur of nucli Radioactivity Half-lif and Radioactiv dating Nuclar Binding Enrgy Nuclar Fission Nuclar Fusion Practical Applications of

More information

2. Laser physics - basics

2. Laser physics - basics . Lasr physics - basics Spontanous and stimulatd procsss Einstin A and B cofficints Rat quation analysis Gain saturation What is a lasr? LASER: Light Amplification by Stimulatd Emission of Radiation "light"

More information

The following information relates to Questions 1 to 4:

The following information relates to Questions 1 to 4: Th following information rlats to Qustions 1 to 4: QUESTIN 1 Th lctrolyt usd in this ful cll is D watr carbonat ions hydrogn ions hydroxid ions QUESTIN 2 Th product formd in th ful cll is D hydrogn gas

More information

Neutrinos are chargeless, nearly massless particles Most abundant particle in the Universe Interact with matter via weak nuclear force

Neutrinos are chargeless, nearly massless particles Most abundant particle in the Universe Interact with matter via weak nuclear force By Wndi Wamlr Nutrinos ar charglss, narly masslss articls Most abundant articl in th Univrs Intract with mattr via wak nuclar forc Narly transarnt to mattr Only known ty of articl that can sca from th

More information

Structure of the Atom. Thomson s Atomic Model. Knowledge of atoms in Experiments of Geiger and Marsden 2. Experiments of Geiger and Marsden

Structure of the Atom. Thomson s Atomic Model. Knowledge of atoms in Experiments of Geiger and Marsden 2. Experiments of Geiger and Marsden CHAPTER 4 Structur of th Atom 4.1 Th Atomic Modls of Thomson and Ruthrford 4. Ruthrford Scattring 4.3 Th Classic Atomic Modl 4.4 Th Bohr Modl of th Hydrogn Atom 4.5 Succsss & Failurs of th Bohr Modl 4.6

More information

Contemporary, atomic, nuclear, and particle physics

Contemporary, atomic, nuclear, and particle physics Contmporary, atomic, nuclar, and particl physics 1 Blackbody radiation as a thrmal quilibrium condition (in vacuum this is th only hat loss) Exampl-1 black plan surfac at a constant high tmpratur T h is

More information

Give the letter that represents an atom (6) (b) Atoms of A and D combine to form a compound containing covalent bonds.

Give the letter that represents an atom (6) (b) Atoms of A and D combine to form a compound containing covalent bonds. 1 Th diagram shows th lctronic configurations of six diffrnt atoms. A B C D E F (a) You may us th Priodic Tabl on pag 2 to hlp you answr this qustion. Answr ach part by writing on of th lttrs A, B, C,

More information

Self-interaction mass formula that relates all leptons and quarks to the electron

Self-interaction mass formula that relates all leptons and quarks to the electron Slf-intraction mass formula that rlats all lptons and quarks to th lctron GERALD ROSEN (a) Dpartmnt of Physics, Drxl Univrsity Philadlphia, PA 19104, USA PACS. 12.15. Ff Quark and lpton modls spcific thoris

More information

Chapter 8: Electron Configurations and Periodicity

Chapter 8: Electron Configurations and Periodicity Elctron Spin & th Pauli Exclusion Principl Chaptr 8: Elctron Configurations and Priodicity 3 quantum numbrs (n, l, ml) dfin th nrgy, siz, shap, and spatial orintation of ach atomic orbital. To xplain how

More information

Intro to Nuclear and Particle Physics (5110)

Intro to Nuclear and Particle Physics (5110) Intro to Nuclar and Particl Physics (5110) March 09, 009 Frmi s Thory of Bta Dcay (continud) Parity Violation, Nutrino Mass 3/9/009 1 Final Stat Phas Spac (Rviw) Th Final Stat lctron and nutrino wav functions

More information

Today. Wave-Matter Duality. Quantum Non-Locality. What is waving for matter waves?

Today. Wave-Matter Duality. Quantum Non-Locality. What is waving for matter waves? Today Wav-Mattr Duality HW 7 and Exam 2 du Thurs. 8pm 0 min rcap from last lctur on QM Finish QM odds and nds from ch.4 Th Standard Modl 4 forcs of Natur Fundamntal particls of Natur Fynman diagrams EM

More information

Cosmology and particle physics

Cosmology and particle physics Cosmology and particl physics Lctur nots Timm Wras Lctur 8 Th thrmal univrs - part IV In this lctur w discuss th Boltzmann quation that allows on to dscrib th volution of procsss in our univrs that ar

More information

The Death of Stars - II.

The Death of Stars - II. Th Dath of Stars - II. Larning Objctivs! How can w us H-R diagrams to masur th ag of star clustrs (and hnc th ag of our Univrs)?! Why do high and low mass stars volv diffrntly? How ar havy lmnts such as

More information

Neutrino Physics. Caren Hagner, Universität Hamburg

Neutrino Physics. Caren Hagner, Universität Hamburg Nutrino Physics Carn Hagnr, Univrsität Hamburg What ar nutrinos? Nutrino mass and mixing Nutrino oscillations Nutrino bams: OPERA Oscillation of acclrator nutrinos Solar Nutrinos: BOREXINO (KamLAND ractor

More information

Exam 2 Thursday (7:30-9pm) It will cover material through HW 7, but no material that was on the 1 st exam.

Exam 2 Thursday (7:30-9pm) It will cover material through HW 7, but no material that was on the 1 st exam. Exam 2 Thursday (7:30-9pm) It will covr matrial through HW 7, but no matrial that was on th 1 st xam. What happns if w bash atoms with lctrons? In atomic discharg lamps, lots of lctrons ar givn kintic

More information

Chemical Engineering 412

Chemical Engineering 412 Chical Enginring 4 Introductory Nuclar Enginring Lctur 6 Nuclar Radiation Typs Ky oints Typs of cay Na roprtis athatical scriptions Cavats cay Charts (KNOW HOW TO USE!) Nuclar Equation for cay -Valus for

More information

Ultra low momentum neutron catalyzed nuclear reactions on metallic hydride surfaces

Ultra low momentum neutron catalyzed nuclear reactions on metallic hydride surfaces Eur. Phys. J. C (200) Digital Objct Idntifir (DOI) 10.1140/pjc/s200-02479-8 THE EUROPEAN PHYSICAL JOURNAL C Ultra low momntum nutron catalyzd nuclar ractions on mtallic hydrid surfacs A. Widom 1,a,L.Larsn

More information

Radiation Physics Laboratory - Complementary Exercise Set MeBiom 2016/2017

Radiation Physics Laboratory - Complementary Exercise Set MeBiom 2016/2017 Th following qustions ar to b answrd individually. Usful information such as tabls with dtctor charactristics and graphs with th proprtis of matrials ar availabl in th cours wb sit: http://www.lip.pt/~patricia/fisicadaradiacao.

More information

Title: Vibrational structure of electronic transition

Title: Vibrational structure of electronic transition Titl: Vibrational structur of lctronic transition Pag- Th band spctrum sn in th Ultra-Violt (UV) and visibl (VIS) rgions of th lctromagntic spctrum can not intrprtd as vibrational and rotational spctrum

More information

Phys 402: Nonlinear Spectroscopy: SHG and Raman Scattering

Phys 402: Nonlinear Spectroscopy: SHG and Raman Scattering Rquirmnts: Polariation of Elctromagntic Wavs Phys : Nonlinar Spctroscopy: SHG and Scattring Gnral considration of polariation How Polarirs work Rprsntation of Polariation: Jons Formalism Polariation of

More information

Forces. Quantum ElectroDynamics. α = = We have now:

Forces. Quantum ElectroDynamics. α = = We have now: W hav now: Forcs Considrd th gnral proprtis of forcs mdiatd by xchang (Yukawa potntial); Examind consrvation laws which ar obyd by (som) forcs. W will nxt look at thr forcs in mor dtail: Elctromagntic

More information

September 23, Honors Chem Atomic structure.notebook. Atomic Structure

September 23, Honors Chem Atomic structure.notebook. Atomic Structure Atomic Structur Topics covrd Atomic structur Subatomic particls Atomic numbr Mass numbr Charg Cations Anions Isotops Avrag atomic mass Practic qustions atomic structur Sp 27 8:16 PM 1 Powr Standards/ Larning

More information

22/ Breakdown of the Born-Oppenheimer approximation. Selection rules for rotational-vibrational transitions. P, R branches.

22/ Breakdown of the Born-Oppenheimer approximation. Selection rules for rotational-vibrational transitions. P, R branches. Subjct Chmistry Papr No and Titl Modul No and Titl Modul Tag 8/ Physical Spctroscopy / Brakdown of th Born-Oppnhimr approximation. Slction ruls for rotational-vibrational transitions. P, R branchs. CHE_P8_M

More information

Electric (Rocket) Propulsion. EP Overview

Electric (Rocket) Propulsion. EP Overview Elctric (Rockt) Propulsion EP Ovrviw Elctric Propulsion-1 Basics Rockt Propulsion Elmnts Propllant Enrgy Sourc Storag Fd Systm sam in chmical rockts Storag Convrsion Acclrator Elctric Propulsion- 1 Elctric

More information

Molecular Orbitals in Inorganic Chemistry

Molecular Orbitals in Inorganic Chemistry Outlin olcular Orbitals in Inorganic Chmistry Dr. P. Hunt p.hunt@imprial.ac.uk Rm 167 (Chmistry) http://www.ch.ic.ac.uk/hunt/ octahdral complxs forming th O diagram for Oh colour, slction ruls Δoct, spctrochmical

More information

How can I control light? (and rule the world?)

How can I control light? (and rule the world?) How can I control light? (and rul th world?) "You know, I hav on simpl rqust. And that is to hav sharks with frickin' lasr bams attachd to thir hads! - Dr. Evil Phys 230, Day 35 Qustions? Spctra (colors

More information

Davisson Germer experiment Announcements:

Davisson Germer experiment Announcements: Davisson Grmr xprimnt Announcmnts: Homwork st 7 is du Wdnsday. Problm solving sssions M3-5, T3-5. Th 2 nd midtrm will b April 7 in MUEN E0046 at 7:30pm. BFFs: Davisson and Grmr. Today w will go ovr th

More information

Atomic energy levels. Announcements:

Atomic energy levels. Announcements: Atomic nrgy lvls Announcmnts: Exam solutions ar postd. Problm solving sssions ar M3-5 and Tusday 1-3 in G-140. Will nd arly and hand back your Midtrm Exam at nd of class. http://www.colorado.du/physics/phys2170/

More information

PH300 Modern Physics SP11 Final Essay. Up Next: Periodic Table Molecular Bonding

PH300 Modern Physics SP11 Final Essay. Up Next: Periodic Table Molecular Bonding PH Modrn Physics SP11 Final Essay Thr will b an ssay portion on th xam, but you don t nd to answr thos qustions if you submit a final ssay by th day of th final: Sat. 5/7 It dosnʼt mattr how smart you

More information

Alpha and beta decay equation practice

Alpha and beta decay equation practice Alpha and bta dcay quation practic Introduction Alpha and bta particls may b rprsntd in quations in svral diffrnt ways. Diffrnt xam boards hav thir own prfrnc. For xampl: Alpha Bta α β alpha bta Dspit

More information

High Energy Physics. Lecture 5 The Passage of Particles through Matter

High Energy Physics. Lecture 5 The Passage of Particles through Matter High Enrgy Physics Lctur 5 Th Passag of Particls through Mattr 1 Introduction In prvious lcturs w hav sn xampls of tracks lft by chargd particls in passing through mattr. Such tracks provid som of th most

More information

Status of LAr TPC R&D (2) 2014/Dec./23 Neutrino frontier workshop 2014 Ryosuke Sasaki (Iwate U.)

Status of LAr TPC R&D (2) 2014/Dec./23 Neutrino frontier workshop 2014 Ryosuke Sasaki (Iwate U.) Status of LAr TPC R&D (2) 214/Dc./23 Nutrino frontir workshop 214 Ryosuk Sasaki (Iwat U.) Tabl of Contnts Dvlopmnt of gnrating lctric fild in LAr TPC Introduction - Gnrating strong lctric fild is on of

More information

Part 7: Capacitance And Capacitors

Part 7: Capacitance And Capacitors Part 7: apacitanc And apacitors 7. Elctric harg And Elctric Filds onsidr a pair of flat, conducting plats, arrangd paralll to ach othr (as in figur 7.) and sparatd by an insulator, which may simply b air.

More information

APP-IV Introduction to Astro-Particle Physics. Maarten de Jong

APP-IV Introduction to Astro-Particle Physics. Maarten de Jong APP-IV Introduction to Astro-Particl Physics Maartn d Jong 1 cosmology in a nut shll Hubbl s law cosmic microwav background radiation abundancs of light lmnts (H, H, ) Hubbl s law (199) 1000 vlocity [km/s]

More information

Pion condensation with neutrinos

Pion condensation with neutrinos Pion condnsation with nutrinos Or how dos QCD bhav undr high dnsitis of lctron/muon nutrinos Harmn Warringa, Goth Univrsität, Frankfurt Basd on work don with Hiroaki Abuki and Tomas Braunr arxiv:0901.2477

More information

Physics 2D Lecture Slides Lecture 12: Jan 28 th 2004

Physics 2D Lecture Slides Lecture 12: Jan 28 th 2004 Brian Wcht, th TA, is away this wk. I will substitut for his offic hours (in my offic 3314 Mayr Hall, discussion and PS sssion. Pl. giv all rgrad rqusts to m this wk (only) Quiz 3 Will Covr Sctions.1-.5

More information

Gamma-ray burst spectral evolution in the internal shock model

Gamma-ray burst spectral evolution in the internal shock model Gamma-ray burst spctral volution in th intrnal shock modl in collaboration with: Žljka Marija Bošnjak Univrsity of Rijka, Croatia Frédéric Daign (Institut d Astrophysiqu d Paris) IAU$Symposium$324$0$Ljubljana,$Sptmbr$2016$

More information

Physics 2D Lecture Slides Lecture 14: Feb 1 st 2005

Physics 2D Lecture Slides Lecture 14: Feb 1 st 2005 Physics D Lctur Slids Lctur 14: Fb 1 st 005 Vivk Sharma UCSD Physics Compton Effct: what should Happn Classically? Plan wav [f,λ] incidnt on a surfac with loosly bound lctrons intraction of E fild of EM

More information

Precision Standard Model Tests (at JLab)

Precision Standard Model Tests (at JLab) Prcision Standard Modl Tsts (at JLab) Xiaochao Zhng Jun 21st, 2018 Th Standard Modl of Particl Physics How should w sarch for nw physics? Prcision SM tsts at Jffrson Lab Qwak, PVDIS Mollr, 12 GV PVDIS

More information

REGISTER!!! The Farmer and the Seeds (a parable of scientific reasoning) Class Updates. The Farmer and the Seeds. The Farmer and the Seeds

REGISTER!!! The Farmer and the Seeds (a parable of scientific reasoning) Class Updates. The Farmer and the Seeds. The Farmer and the Seeds How dos light intract with mattr? And what dos (this say about) mattr? REGISTER!!! If Schrödingr s Cat walks into a forst, and no on is around to obsrv it, is h rally in th forst? sourc unknown Phys 1010

More information

TREATMENT OF THE PLASMA NONLINEAR ABSORPTION LAW AT LINEARLY POLARIZED LASER RADIATION OF RELATIVISTIC INTENSITIES. A. G.

TREATMENT OF THE PLASMA NONLINEAR ABSORPTION LAW AT LINEARLY POLARIZED LASER RADIATION OF RELATIVISTIC INTENSITIES. A. G. Armnian Journal of Physics, 15, vol. 8, issu, pp. 64-7 TREATMENT OF THE PLASMA NONLINEAR ABSORPTION LAW AT LINEARLY POLARIZED LASER RADIATION OF RELATIVISTIC INTENSITIES A. G. Ghazaryan Cntr of Strong

More information

4E : The Quantum Universe. Lecture 5, April 5 Vivek Sharma

4E : The Quantum Universe. Lecture 5, April 5 Vivek Sharma 4E : Th Quantum Univrs Lctur 5, April 5 Vivk Sharma modphys@hpmail.ucsd.du An X-ray Tub from 0 th Cntury Xray Th High Enrgy Acclrator of 1900s: producd nrgtic light : X Ray, gav nw optic to subatomic world

More information

A=P=E M-A=N Alpha particle Beta Particle. Periodic table

A=P=E M-A=N Alpha particle Beta Particle. Periodic table Nam Pr. Atomic Structur/Nuclar Chmistry (Ch. 3 & 21) OTHS Acadmic Chmistry Objctivs: Undrstand th xprimntal dsign and conclusions usd in th dvlopmnt of modrn atomic thory, including Dalton's Postulats,

More information

Spatial channeling of energy and momentum of energetic ions by destabilized Alfvén eigenmodes

Spatial channeling of energy and momentum of energetic ions by destabilized Alfvén eigenmodes Spatial channling of nrgy and momntum of nrgtic ions by dstabilizd Alfvén ignmods Ya.I. Kolsnichnko 1,V.V. Lutsnko 1, R.B. Whit, Yu.V. Yakovnko 1 1 Institut for Nuclar Rsarch, Kyiv, Ukrain Princton Plasma

More information

Standard Model - Electroweak Interactions. Standard Model. Outline. Weak Neutral Interactions. Electroweak Theory. Experimental Tests.

Standard Model - Electroweak Interactions. Standard Model. Outline. Weak Neutral Interactions. Electroweak Theory. Experimental Tests. Standard Modl - Elctrowak Intractions Outlin ak Nutral Intractions Nutral Currnts (NC) Elctrowak Thory ± and Z and γ Discovry of ± Exprimntal Tsts LEP Z Boson Mass and idth Numbr of Nutrinos ± Boson ±

More information

6. The Interaction of Light and Matter

6. The Interaction of Light and Matter 6. Th Intraction of Light and Mattr - Th intraction of light and mattr is what maks lif intrsting. - Light causs mattr to vibrat. Mattr in turn mits light, which intrfrs with th original light. - Excitd

More information

Hydrogen Atom and One Electron Ions

Hydrogen Atom and One Electron Ions Hydrogn Atom and On Elctron Ions Th Schrödingr quation for this two-body problm starts out th sam as th gnral two-body Schrödingr quation. First w sparat out th motion of th cntr of mass. Th intrnal potntial

More information

(most) due to long range e m forces i.e. via atomic collisions or due to short range nuclear collisions or through decay ( = weak interactions)

(most) due to long range e m forces i.e. via atomic collisions or due to short range nuclear collisions or through decay ( = weak interactions) Spring 01, P67, YK Monday January 30, 01 8 Obsrvabl particl dtction ffcts ar : (most) du to long rang m forcs i.. via atomic collisions or du to short rang nuclar collisions or through dcay ( = wak intractions)

More information

Higher order derivatives

Higher order derivatives Robrto s Nots on Diffrntial Calculus Chaptr 4: Basic diffrntiation ruls Sction 7 Highr ordr drivativs What you nd to know alrady: Basic diffrntiation ruls. What you can larn hr: How to rpat th procss of

More information

LENR Reactions Using Clusters George H. Miley LENUCO LLC Champaign IL, ILNER 12 W&M VA

LENR Reactions Using Clusters George H. Miley LENUCO LLC Champaign IL, ILNER 12 W&M VA LENR Ractions Using Clustrs Gorg H. Mily LENUCO LLC Champaign IL, 61821 gorghm@aol.com ILNER 12 W&M VA 2012 1 Abstract Our prvious xprimntal rsults hav dmonstratd th formation of ultra high-dnsity hydrogn/dutrium

More information

PHYSICS 489/1489 LECTURE 7: QUANTUM ELECTRODYNAMICS

PHYSICS 489/1489 LECTURE 7: QUANTUM ELECTRODYNAMICS PHYSICS 489/489 LECTURE 7: QUANTUM ELECTRODYNAMICS REMINDER Problm st du today 700 in Box F TODAY: W invstigatd th Dirac quation it dscribs a rlativistic spin /2 particl implis th xistnc of antiparticl

More information

Neutrino Mass and Forbidden Beta Decays

Neutrino Mass and Forbidden Beta Decays NUCLEAR THEORY Vol. 35 016) ds. M. Gaidarov N. Minkov Hron Prss Sofia Nutrino Mass and Forbiddn Bta Dcays R. Dvornický 1 D. Štfánik F. Šimkovic 3 1 Dzhlpov Laboratory of Nuclar Problms JINR 141980 Dubna

More information

A central nucleus. Protons have a positive charge Electrons have a negative charge

A central nucleus. Protons have a positive charge Electrons have a negative charge Atomic Structur Lss than ninty yars ago scintists blivd that atoms wr tiny solid sphrs lik minut snookr balls. Sinc thn it has bn discovrd that atoms ar not compltly solid but hav innr and outr parts.

More information

Antonio Pich. IFIC, CSIC Univ. Valencia.

Antonio Pich. IFIC, CSIC Univ. Valencia. Antonio Pich IFIC, CSIC Univ. Valncia Antonio.Pich@crn.ch Th Standard Modl A. Pich - CERN Summr Lcturs 2005 1. Constitunts & Intractions 2. Quarks 3. Gaug Invarianc 4. Quantum Chromodynamics 5. Elctrowak

More information

Classical Magnetic Dipole

Classical Magnetic Dipole Lctur 18 1 Classical Magntic Dipol In gnral, a particl of mass m and charg q (not ncssarily a point charg), w hav q g L m whr g is calld th gyromagntic ratio, which accounts for th ffcts of non-point charg

More information

The Death of Stars - I.

The Death of Stars - I. Th Dath of Stars - I. Larning Objctivs! B abl to sktch th H-R diagram and includ stars by siz, sctral ty, liftim, color, mass, magnitud, tmratur and luminosity, rlativ to our Sun! Comar Rd Dwarfs to our

More information

Collisionless anisotropic electron heating and turbulent transport in coronal flare loops

Collisionless anisotropic electron heating and turbulent transport in coronal flare loops Collisionlss anisotropic lctron hating and turbulnt transport in coronal flar loops K.-W. L and J. Büchnr 5 April 2011 Outlin: 1. HXR obsrvation and standard flar modl 2. Linar stability analysis (multi-fluid

More information

Lecture 37 (Schrödinger Equation) Physics Spring 2018 Douglas Fields

Lecture 37 (Schrödinger Equation) Physics Spring 2018 Douglas Fields Lctur 37 (Schrödingr Equation) Physics 6-01 Spring 018 Douglas Filds Rducd Mass OK, so th Bohr modl of th atom givs nrgy lvls: E n 1 k m n 4 But, this has on problm it was dvlopd assuming th acclration

More information

SCALING OF SYNCHROTRON RADIATION WITH MULTIPOLE ORDER. J. C. Sprott

SCALING OF SYNCHROTRON RADIATION WITH MULTIPOLE ORDER. J. C. Sprott SCALING OF SYNCHROTRON RADIATION WITH MULTIPOLE ORDER J. C. Sprott PLP 821 Novmbr 1979 Plasma Studis Univrsity of Wisconsin Ths PLP Rports ar informal and prliminary and as such may contain rrors not yt

More information

On the Hamiltonian of a Multi-Electron Atom

On the Hamiltonian of a Multi-Electron Atom On th Hamiltonian of a Multi-Elctron Atom Austn Gronr Drxl Univrsity Philadlphia, PA Octobr 29, 2010 1 Introduction In this papr, w will xhibit th procss of achiving th Hamiltonian for an lctron gas. Making

More information

Physics 2D Lecture Slides. Oct 21. UCSD Physics. Vivek Sharma

Physics 2D Lecture Slides. Oct 21. UCSD Physics. Vivek Sharma Physics D Lctur Slids Oct 1 Vivk Sharma UCSD Physics Modrn Viw of Photolctric Effct E = hf = KE+ ϕ Is h sam in Photolctric Effct as in BBQ Radiation? Slop h = 6.66 x 10-34 JS Einstin Nobl Priz! No mattr

More information

DIS-Parity. Search for New Physics Through Parity Violation In Deep Inelastic Electron Scattering. The Physics Case

DIS-Parity. Search for New Physics Through Parity Violation In Deep Inelastic Electron Scattering. The Physics Case DIS-Parity Sarch for Nw Physics Through Parity Violation In Dp Inlastic Elctron Scattring Th Physics Cas R. Arnold for th DIS-Parity Collaboration Exprimnt Plan by Stv Rock will follow 12 Jun 2003 DIS-Parity

More information

Lecture 2. Interaction of Radiation with Matter

Lecture 2. Interaction of Radiation with Matter Lctur Intraction of Radiation with Mattr Dats 14.10. Vorlsung 1 T.Stockmanns 1.10. Vorlsung J.Ritman 8.10. Vorlsung 3 J.Ritman 04.11. Vorlsung 4 J.Ritman 11.11. Vorlsung 5 J.Ritman 18.11. Vorlsung 6 J.

More information

Chapter 1 Late 1800 s Several failures of classical (Newtonian) physics discovered

Chapter 1 Late 1800 s Several failures of classical (Newtonian) physics discovered Chaptr 1 Lat 1800 s Svral failurs of classical (Nwtonian) physics discovrd 1905 195 Dvlopmnt of QM rsolvd discrpancis btwn xpt. and classical thory QM Essntial for undrstanding many phnomna in Chmistry,

More information

Chemical Physics II. More Stat. Thermo Kinetics Protein Folding...

Chemical Physics II. More Stat. Thermo Kinetics Protein Folding... Chmical Physics II Mor Stat. Thrmo Kintics Protin Folding... http://www.nmc.ctc.com/imags/projct/proj15thumb.jpg http://nuclarwaponarchiv.org/usa/tsts/ukgrabl2.jpg http://www.photolib.noaa.gov/corps/imags/big/corp1417.jpg

More information

Nonlinear electron dynamics in metallic nanostructures

Nonlinear electron dynamics in metallic nanostructures Nonlinar lctron dynamics in mtallic nanostructurs Giovanni MANFREDI Institut d Physiqu t Chimi ds Matériaux d Strasbourg Strasbourg - Franc Giovanni.Manfrdi@ipcms.u-strasbg.fr Mastr Lctur 1 1 Plan of th

More information

fiziks Institute for NET/JRF, GATE, IIT JAM, M.Sc. Entrance, JEST, TIFR and GRE in Physics NUCLEAR AND PARTICLE PHYSICS NET/JRF (JUNE-2011)

fiziks Institute for NET/JRF, GATE, IIT JAM, M.Sc. Entrance, JEST, TIFR and GRE in Physics NUCLEAR AND PARTICLE PHYSICS NET/JRF (JUNE-2011) NUCLEAR AND PARTICLE PHYSICS NET/JRF (JUNE-) 64 Q. Th radius of a 9Cu nuclus is masurd to b 4.8 - cm. (A). Th radius of a 7 Mg nuclus can b stimatd to b.86 - cm (b) 5. - cm (c).6 - cm (d) 8.6 - cm (c)

More information

Exam 1. It is important that you clearly show your work and mark the final answer clearly, closed book, closed notes, no calculator.

Exam 1. It is important that you clearly show your work and mark the final answer clearly, closed book, closed notes, no calculator. Exam N a m : _ S O L U T I O N P U I D : I n s t r u c t i o n s : It is important that you clarly show your work and mark th final answr clarly, closd book, closd nots, no calculator. T i m : h o u r

More information

Chapter. 3 Wave & Particles I

Chapter. 3 Wave & Particles I Announcmnt Cours wbpag http://highnrgy.phys.ttu.du/~sl/2402/ Txtbook PHYS-2402 Lctur 8 Quiz 1 Class avrag: 14.2 (out of 20) ~ 70% Fb. 10, 2015 HW2 (du 2/19) 13, 17, 23, 25, 28, 31, 37, 38, 41, 44 Chaptr.

More information

ELECTRONIC AND OPTICAL PROPERTIES OF GRAPHENE. J. González Instituto de Estructura de la Materia, CSIC, Spain

ELECTRONIC AND OPTICAL PROPERTIES OF GRAPHENE. J. González Instituto de Estructura de la Materia, CSIC, Spain ELECTRONIC AND OPTICAL PROPERTIES O GRAPHENE J. Gonzálz Instituto d Estructura d la Matria, CSIC, Spain 1985 1991 004 007 01 015 Graphn has opnd th way to invstigat th bhavior of a gnuin two dimnsional

More information

PRINCIPLES OF PLASMA PROCESSING Course Notes: Prof. J. P. Chang Part B3: ATOMIC COLLISIONS AND SPECTRA

PRINCIPLES OF PLASMA PROCESSING Course Notes: Prof. J. P. Chang Part B3: ATOMIC COLLISIONS AND SPECTRA Atomic Collisions and Spctra 125 PRINCIPLES OF PLASMA PROCESSING Cours Nots: Prof. J. P. Chang Part B3: ATOMIC COLLISIONS AND SPECTRA I. ATOMIC ENERGY LEVELS Atoms and molculs mit lctromagntic radiation

More information

Direct Approach for Discrete Systems One-Dimensional Elements

Direct Approach for Discrete Systems One-Dimensional Elements CONTINUUM & FINITE ELEMENT METHOD Dirct Approach or Discrt Systms On-Dimnsional Elmnts Pro. Song Jin Par Mchanical Enginring, POSTECH Dirct Approach or Discrt Systms Dirct approach has th ollowing aturs:

More information

Characteristics of Gliding Arc Discharge Plasma

Characteristics of Gliding Arc Discharge Plasma Caractristics of Gliding Arc Discarg Plasma Lin Li( ), Wu Bin(, Yang Ci(, Wu Cngkang ( Institut of Mcanics, Cins Acadmy of Scincs, Bijing 8, Cina E-mail: linli@imc.ac.cn Abstract A gliding arc discarg

More information

Enhanced electron screening in nuclear reactions and radioactive decays

Enhanced electron screening in nuclear reactions and radioactive decays nhancd lctron scrning in nuclar ractions and radioactiv dcays 1, *, P. Hid, A. Huk, L. Martin,. Ruprcht 3 1 Institut of Physics, Univrsity of Szczcin ul. Wilkopolska 15, 70-451 Szczcin, Poland Institut

More information

Estimation of apparent fraction defective: A mathematical approach

Estimation of apparent fraction defective: A mathematical approach Availabl onlin at www.plagiarsarchlibrary.com Plagia Rsarch Library Advancs in Applid Scinc Rsarch, 011, (): 84-89 ISSN: 0976-8610 CODEN (USA): AASRFC Estimation of apparnt fraction dfctiv: A mathmatical

More information

Pair (and Triplet) Production Effect:

Pair (and Triplet) Production Effect: Pair (and riplt Production Effct: In both Pair and riplt production, a positron (anti-lctron and an lctron (or ngatron ar producd spontanously as a photon intracts with a strong lctric fild from ithr a

More information

THE MTV EXPERIMENT FROM T-VIOLATION TO LORENTZ-VIOLATION. Jiro Murata Rikkyo University for the MTV collaboration INPC2016, Sydney, Sep 11-16, 2016

THE MTV EXPERIMENT FROM T-VIOLATION TO LORENTZ-VIOLATION. Jiro Murata Rikkyo University for the MTV collaboration INPC2016, Sydney, Sep 11-16, 2016 THE MTV EXPERIMENT FROM T-VIOLATION TO LORENTZ-VIOLATION Jiro Murata Rikkyo Univrsity for th MTV collaboration INPC2016 Sydny Sp 11-16 2016 Rikkyo J. Murata Y. Nakaya Y. Totsuka S. Tanaka R. Tanuma T.

More information

ECE507 - Plasma Physics and Applications

ECE507 - Plasma Physics and Applications ECE507 - Plasma Physics and Applications Lctur 7 Prof. Jorg Rocca and Dr. Frnando Tomasl Dpartmnt of Elctrical and Computr Enginring Collisional and radiativ procsss All particls in a plasma intract with

More information

ph People Grade Level: basic Duration: minutes Setting: classroom or field site

ph People Grade Level: basic Duration: minutes Setting: classroom or field site ph Popl Adaptd from: Whr Ar th Frogs? in Projct WET: Curriculum & Activity Guid. Bozman: Th Watrcours and th Council for Environmntal Education, 1995. ph Grad Lvl: basic Duration: 10 15 minuts Stting:

More information

Seebeck and Peltier Effects

Seebeck and Peltier Effects Sbck and Pltir Effcts Introduction Thrmal nrgy is usually a byproduct of othr forms of nrgy such as chmical nrgy, mchanical nrgy, and lctrical nrgy. Th procss in which lctrical nrgy is transformd into

More information

Davisson Germer experiment

Davisson Germer experiment Announcmnts: Davisson Grmr xprimnt Homwork st 5 is today. Homwork st 6 will b postd latr today. Mad a good guss about th Nobl Priz for 2013 Clinton Davisson and Lstr Grmr. Davisson won Nobl Priz in 1937.

More information

Chapter 13: Radioactivity

Chapter 13: Radioactivity Chaptr 13: Radioactivity 13.1 Radioactivity Dcay L.O 13.1.1 Explain and dcays Radioactivity / Radioactiv dcay is disintgration of unstabl nuclus to a mor stabl daughtr nuclid with th mission of alpha,

More information

Ch. 24 Molecular Reaction Dynamics 1. Collision Theory

Ch. 24 Molecular Reaction Dynamics 1. Collision Theory Ch. 4 Molcular Raction Dynamics 1. Collision Thory Lctur 16. Diffusion-Controlld Raction 3. Th Matrial Balanc Equation 4. Transition Stat Thory: Th Eyring Equation 5. Transition Stat Thory: Thrmodynamic

More information

Simulations des micro-décharges de type MHCD

Simulations des micro-décharges de type MHCD Simulations ds micro-déchargs d typ MHCD Lann Pitchford Group GREPHE Laboratoir ds Plasmas t Convrsion d Enrgi Univrsité d Toulous t CNRS UMR 5213 pitchford@laplac.univ-tls.fr JP Bouf, G. Haglaar, Th Callgari

More information

Voltage, Current, Power, Series Resistance, Parallel Resistance, and Diodes

Voltage, Current, Power, Series Resistance, Parallel Resistance, and Diodes Lctur 1. oltag, Currnt, Powr, Sris sistanc, Paralll sistanc, and Diods Whn you start to dal with lctronics thr ar thr main concpts to start with: Nam Symbol Unit oltag volt Currnt ampr Powr W watt oltag

More information

Search for thermonuclear x-ray bursts with Integral

Search for thermonuclear x-ray bursts with Integral Sarch for thrmonuclar x-ray bursts with Intgral, Vinna Tchnical Univrsity Tutors: Clia Sanchz & Erik Kuulkrs Contnts What? X-ray binaris X-ray bursts Intgral and its instrumnts Why? th Galactic Bulg Monitoring

More information

Module 8 Non equilibrium Thermodynamics

Module 8 Non equilibrium Thermodynamics Modul 8 Non quilibrium hrmodynamics ctur 8.1 Basic Postulats NON-EQUIIRIBIUM HERMODYNAMICS Stady Stat procsss. (Stationary) Concpt of ocal thrmodynamic qlbm Extnsiv proprty Hat conducting bar dfin proprtis

More information

Math-3. Lesson 5-6 Euler s Number e Logarithmic and Exponential Modeling (Newton s Law of Cooling)

Math-3. Lesson 5-6 Euler s Number e Logarithmic and Exponential Modeling (Newton s Law of Cooling) Math-3 Lsson 5-6 Eulr s Numbr Logarithmic and Eponntial Modling (Nwton s Law of Cooling) f ( ) What is th numbr? is th horizontal asymptot of th function: 1 1 ~ 2.718... On my 3rd submarin (USS Springfild,

More information

Coupled Pendulums. Two normal modes.

Coupled Pendulums. Two normal modes. Tim Dpndnt Two Stat Problm Coupld Pndulums Wak spring Two normal mods. No friction. No air rsistanc. Prfct Spring Start Swinging Som tim latr - swings with full amplitud. stationary M +n L M +m Elctron

More information

Constants and Conversions:

Constants and Conversions: EXAM INFORMATION Radial Distribution Function: P 2 ( r) RDF( r) Br R( r ) 2, B is th normalization constant. Ordr of Orbital Enrgis: Homonuclar Diatomic Molculs * * * * g1s u1s g 2s u 2s u 2 p g 2 p g

More information

Schrodinger Equation in 3-d

Schrodinger Equation in 3-d Schrodingr Equation in 3-d ψ( xyz,, ) ψ( xyz,, ) ψ( xyz,, ) + + + Vxyz (,, ) ψ( xyz,, ) = Eψ( xyz,, ) m x y z p p p x y + + z m m m + V = E p m + V = E E + k V = E Infinit Wll in 3-d V = x > L, y > L,

More information

What is Solid State Physics?

What is Solid State Physics? What is Solid Stat Physics? Branislav K. Nikolić Dpartmnt of Physics and Astronomy, Univrsity of Dlawar, U.S.A. http://www.physics.udl.du/~bnikolic/taching/phys624/phys624.html Quantum Hamiltonian of Solid

More information