Physics 2D Lecture Slides. Oct 21. UCSD Physics. Vivek Sharma
|
|
- Vernon Osborne
- 5 years ago
- Views:
Transcription
1
2 Physics D Lctur Slids Oct 1 Vivk Sharma UCSD Physics
3 Modrn Viw of Photolctric Effct E = hf = KE+ ϕ
4 Is h sam in Photolctric Effct as in BBQ Radiation? Slop h = 6.66 x JS Einstin Nobl Priz! No mattr whr you travl in this galaxy and byond h = Planck s constant is th SAME!!! NOBEL PRIZE FOR Hrr PLANCK
5 Work Function (Binding Enrgy) In Mtals
6 Photolctric Effct on An Iron Surfa Light of Intnsity I = 1.0 µ W/cm inc idnt on 1.0cm surfa c of A ssum F rflcts 96% of ligh t furthr on ly 3% of incidnt li ght is V iolt rgion ( λ = 50nm) barly abov thrs hold frquncy for Ph. El ffc t (a) Intnsity availabl for Ph. El ff ct I =3 (b) how m any photo-lctrons mittd pr # of p hoto lctro n s = c: % 4% (1.0 µ W/c s cond? F m ) Powr 3% 4 % (1.0 µ W/cm ) λ = h f hc 9 9 (50 10 m)(1. 10 J / s) = 8 ( Ji s )( m / s) (c) Currnt in Ammtr : i = ( C)( ).4 10 A (d) Work Function = hf0 ( V s )( s ) = = Φ = i = 4.5 V 9
7 Photon & Rlativity: Wav or a Particl? Photon associatd with EM wavs, travl with spd =c For light (m =0) : Rlativity says E = (pc) + (mc ) E = pc But Planck tlls us : E = hf = h (c/λ) Put thm togthr : hc /λ = pc p = h/λ Momntum of th photon (light) is invrsly proportional to λ But w associat λ with wavs & p with particls.what is going on?? A nw paradigm of convrsation with th subatomic particls : Quantum Physics
8 X Rays : Brmsstrahlung : Braking Radiation EM radiation, producd by bombarding a mtal targt with nrgtic lctrons. Producd in gnral by ALL dclrating chargd particls X rays : vry short λ pm (10-1 m), larg frquncy f Vry pntrating bcaus vry nrgtic E = hf!! Usful for probing structur of sub-atomic Particls (and your tth)
9 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 phnomna
10 X Ray Spctrum in Molybdnum (Mo) Braking radiation prdictd by Maxwll s qn dclratd chargd particl will radiat continuously Spiks in th spctrum ar charactristic of th nuclar structur of targt matrial and varis btwn matrials Shown hr ar th α and β lins for Molybdnum (Mo) To masur th wavlngth, diffraction grating is too wid, nd smallr slits An atomic crystal lattic as diffraction grating (Bragg)
11 btwn wavs. Shown for φ = 0, π, π 3 Rad Ch17-8 from Rsnick tal hld in Ersrv to giv a rsulting wav y ' ( x, t ). Th rsulting wav form dpnds on rlativ phas diffrnc Two Idntical wavs yi ( x, t ) = ymax sin( ki x - ωi t + φi ) travl along +x and intrfr Intrfrnc of Wavs: A Rmindr
12 Bragg Scattring: Probing Atoms With X-Rays X-ray dtctor Constructiv Intrfrnc whn nt phas diffrnc is 0, π tc This implid path diffrnc travld by two wavs must b intgral multipl of wavlngth : nλ=dsinϑ
13 Xray pictur of a DNA Crystal
14 Protins insid Rhinovirus rconstructd by x-ray diffraction
15 X rays ar EM wavs of low wavlngth, high frquncy (and nrgy) and dmonstrat charactristic faturs of a wav Intrfrnc Diffraction To prob into a structur you nd a light sourc with wavlngth much smallr than th faturs of th objct bing probd Good Rsolution λ<< X rays allows on prob at atomic siz (10-10 )m
16 Compton Scattring : Quantum Pool! 19: Arthur Compton (USA) provs that X-rays (EM Wavs) hav particl lik proprtis (acts lik photons) Showd that classical thory faild to xplain th scattring ffct of X rays on to fr (not bound, barly bound lctrons) Exprimnt : shin X ray EM wavs on to a surfac with almost fr lctrons Watch th scattring of light off lctron : masur tim + wavlngth of scattrd X-ray
17 Compton Effct: what should Happn Classically? Plan wav [f,λ] incidnt on a surfac with loosly bound lctrons intraction of E fild of EM wav with lctron: F = E Elctron oscillats with f = f incidnt Evntually radiats sphrical wavs with f radiatd = f incidnt At all scattring angls, f & λ must b zro Tim dlay whil th lctron gts a tan : soaks in radiation
18 Compton Scattring : Stup & Rsults λ = ( λ' λ) (1 cos θ) Scattrd λ ' largr than incidnt h mc λ (1 cos θ ) = How dos on xplain this startling anisotropy?
19 Compton Effct : Quantum (Rlativistic) Pool
20 Enrgy Consrvation: E+m c = E' + E Momntum Consrv p = p'cos θ +p cos φ 0= p'sin θ -p sinφ Us ths to Compton Scattring: Quantum Pictur liminat lctron dflction angl (not masurd : ) p cos φ = p p'cos θ p sin φ = p 'sin θ Squar and add p = p pp 'cosθ + p Eliminat p & E using 4 = pc + mc E & E = ( E E') + m ( ( ') + mc ) = p pp θ p' E E 'cos + + ( mc ) E For light p= c m c m c c E E E' E' cos θ + E + E' EE' + ( E E ') mc = c c c EE ' + ( E E ') mc = E E 'cos θ E-E' 1 h = (1 cos θ ) ( λ' λ) = ( )(1 co s θ) EE' ' c
21 Chcking for h in Compton Scattring Plot scattrd photon data, calculat slop and masur h λ It s th sam h!! h ( λ ' λ) = ( )(1 cos θ) mc Enrgy Quantization is a UNIVERSAL charactristic of light (EM Wavs) Compton wavlngth λc=h/m c 1-cos ϑ
22 Blindmn & an Elphant touchd th trunk of th lphant, said lphant was lik a branch of a tr. touchd th tail of th lphant, said lphant was lik a snak. touchd an ar. H said lphant was a hug fan. flt a lg of th lphant., lphant was lik a pillar. touchd th sid of th lphant, said th lphant was lik a wall Gntlmn, all fiv of you hav touchd only on part of th lphant..lphant is all of abov LIKEWISE WITH LIGHT!
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 information4E : 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 informationPhysics 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 informationorbiting 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 informationChapter. 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 informationPhysics 2D Lecture Slides Lecture 11: Jan. 27 th Sunil Sinha UCSD Physics
Physics 2D Lecture Slides Lecture 11: Jan. 27 th 2010 Sunil Sinha UCSD Physics Einstein s Explanation of PhotoElectric Effect What Maxwell Saw of EM Waves What Einstein Saw of EM Waves Light as bullets
More informationDavisson 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 informationAtomic 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 informationDavisson 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 informationWhy 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 informationELEMENTARY QUANTUM MECHANICS
Pag 1 of 9 ELEMENTARY QUANTUM MECHANICS 1. INTRODUCTION Th triumph of modrn physics is th triumph of quantum physics. Quantum physics (mchanics) Grw out of failurs of classical physics Launchd by xprimnts
More informationChapter 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 informationPhysics 43 HW #9 Chapter 40 Key
Pysics 43 HW #9 Captr 4 Ky Captr 4 1 Aftr many ours of dilignt rsarc, you obtain t following data on t potolctric ffct for a crtain matrial: Wavlngt of Ligt (nm) Stopping Potntial (V) 36 3 4 14 31 a) Plot
More informationIntroduction to the quantum theory of matter and Schrödinger s equation
Introduction to th quantum thory of mattr and Schrödingr s quation Th quantum thory of mattr assums that mattr has two naturs: a particl natur and a wa natur. Th particl natur is dscribd by classical physics
More informationHigh 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 informationCh. 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 informationBETA 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 informationLecture 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 informationPhys 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 informationPair (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 informationE hf. hf c. 2 2 h 2 2 m v f ' f 2f ' f cos c
EXPERIMENT 9: COMPTON EFFECT Rlatd Topics Intractions of photons with lctrons, consrvation of momntum and nrgy, inlastic and lastic scattring, intraction cross sction, Compton wavlngth. Principl Whn photons
More informationThe 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 information2. 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 information6. 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 informationChapter 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 informationPhysics 2D Lecture Slides. Oct 15. UCSD Physics. Vivek Sharma
Physics 2D Lecture Slides Oct 15 Vivek Sharma UCSD Physics Properties of EM Waves: Maxwell s Equations Power incident on an area A Intensity of Radiation I = Larger t Energy Flow in EM W aves : 1 Poy nting
More informationToday. 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 informationExam 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 informationY 0. Standing Wave Interference between the incident & reflected waves Standing wave. A string with one end fixed on a wall
Staning Wav Intrfrnc btwn th incint & rflct wavs Staning wav A string with on n fix on a wall Incint: y, t) Y cos( t ) 1( Y 1 ( ) Y (St th incint wav s phas to b, i.., Y + ral & positiv.) Rflct: y, t)
More informationHigh Energy Astrophysics
High Enrg Astrophsics Radiation Procsss /4 Giampaolo Pisano Jodrll Bank Cntr for Astrophsics - Univrsit of Manchstr giampaolo.pisano@manchstr.ac.uk Fbruar 1 Radiation Procsss Rfrncs: - Brmsstrahlung -
More informationPH300 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 informationTitle: 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 informationFrom Classical to Quantum mechanics
From Classical to Quantum mcanics Engl & Rid 99-300 vrij Univrsitit amstrdam Classical wav baviour Ligt is a wav Two-slit xprimnt wit potons (81-85) 1 On sourc Intrfrnc sourcs ttp://www.falstad.com/matpysics.tml
More informationPHYSICS 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 informationBlackbody Radiation. All bodies at a temperature T emit and absorb thermal electromagnetic radiation. How is blackbody radiation absorbed and emitted?
All bodis at a tmpratur T mit ad absorb thrmal lctromagtic radiatio Blackbody radiatio I thrmal quilibrium, th powr mittd quals th powr absorbd How is blackbody radiatio absorbd ad mittd? 1 2 A blackbody
More informationClassical 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 informationStructure 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(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 informationA 1 A 2. a) Find the wavelength of the radio waves. Since c = f, then = c/f = (3x10 8 m/s) / (30x10 6 Hz) = 10m.
1. Young s doubl-slit xprint undrlis th instrunt landing syst at ost airports and is usd to guid aircraft to saf landings whn th visibility is poor. Suppos that a pilot is trying to align hr plan with
More informationRadiation 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 informationde/dx Effectively all charged particles except electrons
de/dx Lt s nxt turn our attntion to how chargd particls los nrgy in mattr To start with w ll considr only havy chargd particls lik muons, pions, protons, alphas, havy ions, Effctivly all chargd particls
More informationWhat makes laser light special? Lasers. Lasers. Laser history. Lasers are everywhere! Review of atom discharge lamps. So how do we make laser light?
Lasrs Lasrs What is diffrnt/spcial about lasr light. How dos a lasr work. - rviw atomic discharg lamps. - how light intracts with atoms - how ths idas ar usd to mak lasr. "You know, I hav on simpl rqust.
More informationForces. 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 informationChapter 37 The Quantum Revolution
Chaptr 37 Th Quantum Rvolution Max Plank Th Nobl Priz in Physis 1918 "in rognition of th srvis h rndrd to th advanmnt of Physis by his disovry of nrgy quanta" Albrt Einstin Th Nobl Priz in Physis 191 "for
More informationHydrogen 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 informationMolecular 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 informationCompton Scattering. There are three related processes. Thomson scattering (classical) Rayleigh scattering (coherent)
Comton Scattring Tr ar tr rlatd rocsss Tomson scattring (classical) Poton-lctron Comton scattring (QED) Poton-lctron Raylig scattring (cornt) Poton-atom Tomson and Raylig scattring ar lasticonly t dirction
More informationLecture 28 Title: Diatomic Molecule : Vibrational and Rotational spectra
Lctur 8 Titl: Diatomic Molcul : Vibrational and otational spctra Pag- In this lctur w will undrstand th molcular vibrational and rotational spctra of diatomic molcul W will start with th Hamiltonian for
More informationOn 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 informationThe 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 information1.2 Faraday s law A changing magnetic field induces an electric field. Their relation is given by:
Elctromagntic Induction. Lorntz forc on moving charg Point charg moving at vlocity v, F qv B () For a sction of lctric currnt I in a thin wir dl is Idl, th forc is df Idl B () Elctromotiv forc f s any
More informationCoupled 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 informationDerivation of Electron-Electron Interaction Terms in the Multi-Electron Hamiltonian
Drivation of Elctron-Elctron Intraction Trms in th Multi-Elctron Hamiltonian Erica Smith Octobr 1, 010 1 Introduction Th Hamiltonian for a multi-lctron atom with n lctrons is drivd by Itoh (1965) by accounting
More informationREGISTER!!! 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 informationLecture 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 informationLast time. Resistors. Circuits. Question. Quick Quiz. Quick Quiz. ( V c. Which bulb is brighter? A. A B. B. C. Both the same
Last tim Bgin circuits Rsistors Circuits Today Rsistor circuits Start rsistor-capacitor circuits Physical layout Schmatic layout Tu. Oct. 13, 2009 Physics 208 Lctur 12 1 Tu. Oct. 13, 2009 Physics 208 Lctur
More informationECE 344 Microwave Fundamentals
ECE 44 Microwav Fundamntals Lctur 08: Powr Dividrs and Couplrs Part Prpard By Dr. hrif Hkal 4/0/08 Microwav Dvics 4/0/08 Microwav Dvics 4/0/08 Powr Dividrs and Couplrs Powr dividrs, combinrs and dirctional
More informationEAcos θ, where θ is the angle between the electric field and
8.4. Modl: Th lctric flux flows out of a closd surfac around a rgion of spac containing a nt positiv charg and into a closd surfac surrounding a nt ngativ charg. Visualiz: Plas rfr to Figur EX8.4. Lt A
More informationFourier Transforms and the Wave Equation. Key Mathematics: More Fourier transform theory, especially as applied to solving the wave equation.
Lur 7 Fourir Transforms and th Wav Euation Ovrviw and Motivation: W first discuss a fw faturs of th Fourir transform (FT), and thn w solv th initial-valu problm for th wav uation using th Fourir transform
More informationHow 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 informationThe Compton Effect. c 2 E 1. m e 1 E 1 = 2. c (2) + m e. E e. c 2 E (3)
PHY 19 Compton Effct 1 Th Compton Effct Introduction In this xprimnt w will study two aspcts of th intraction of photons with lctrons. Th first of ths is th Compton ffct namd aftr Arthur Holly Compton
More informationThe van der Waals interaction 1 D. E. Soper 2 University of Oregon 20 April 2012
Th van dr Waals intraction D. E. Sopr 2 Univrsity of Orgon 20 pril 202 Th van dr Waals intraction is discussd in Chaptr 5 of J. J. Sakurai, Modrn Quantum Mchanics. Hr I tak a look at it in a littl mor
More information7.4 Potential Difference and Electric Potential
7.4 Potntial Diffrnc and Elctric Potntial In th prvious sction, you larnd how two paralll chargd surfacs produc a uniform lctric fild. From th dfinition of an lctric fild as a forc acting on a charg, it
More informationOutline. Thanks to Ian Blockland and Randy Sobie for these slides Lifetimes of Decaying Particles Scattering Cross Sections Fermi s Golden Rule
Outlin Thanks to Ian Blockland and andy obi for ths slids Liftims of Dcaying Particls cattring Cross ctions Frmi s Goldn ul Physics 424 Lctur 12 Pag 1 Obsrvabls want to rlat xprimntal masurmnts to thortical
More informationPrinciples of active remote sensing: Lidars. 1. Optical interactions of relevance to lasers. Lecture 22
Lctur 22 Principls of activ rmot snsing: Lidars Ojctivs: 1. Optical intractions of rlvanc to lasrs. 2. Gnral principls of lidars. 3. Lidar quation. quird rading: G: 8.4.1, 8.4.2 Additional/advancd rading:.m.
More informationDIS-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 informationCollisions between electrons and ions
DRAFT 1 Collisions btwn lctrons and ions Flix I. Parra Rudolf Pirls Cntr for Thortical Physics, Unirsity of Oxford, Oxford OX1 NP, UK This rsion is of 8 May 217 1. Introduction Th Fokkr-Planck collision
More informationStandard 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 informationELECTRON-MUON SCATTERING
ELECTRON-MUON SCATTERING ABSTRACT Th lctron charg is considrd to b distributd or xtndd in spac. Th diffrntial of th lctron charg is st qual to a function of lctron charg coordinats multiplid by a four-dimnsional
More informationAtomic Physics. Final Mon. May 12, 12:25-2:25, Ingraham B10 Get prepared for the Final!
# SCORES 50 40 30 0 10 MTE 3 Rsults P08 Exam 3 0 30 40 50 60 70 80 90 100 SCORE Avrag 79.75/100 std 1.30/100 A 19.9% AB 0.8% B 6.3% BC 17.4% C 13.1% D.1% F 0.4% Final Mon. Ma 1, 1:5-:5, Ingraam B10 Gt
More information2. Background Material
S. Blair Sptmbr 3, 003 4. Background Matrial Th rst of this cours dals with th gnration, modulation, propagation, and ction of optical radiation. As such, bic background in lctromagntics and optics nds
More informationsurface of a dielectric-metal interface. It is commonly used today for discovering the ways in
Surfac plasmon rsonanc is snsitiv mchanism for obsrving slight changs nar th surfac of a dilctric-mtal intrfac. It is commonl usd toda for discovring th was in which protins intract with thir nvironmnt,
More informationContemporary, 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 informationDIELECTRIC AND MAGNETIC PROPERTIES OF MATERIALS
DILCTRIC AD MAGTIC PROPRTIS OF MATRIALS Dilctric Proprtis: Dilctric matrial Dilctric constant Polarization of dilctric matrials, Typs of Polarization (Polarizability). quation of intrnal filds in liquid
More informationPHY 192 Compton Effect 1
PHY 19 Compton Effct 1 Th Compton Effct Introduction In this xprimnt w will study two aspcts of th intraction of photons with lctrons. Th first of ths is th Compton ffct namd aftr Arthur Holly Compton
More informationLecture 26: Quadrature (90º) Hybrid.
Whits, EE 48/58 Lctur 26 Pag f Lctur 26: Quadratur (9º) Hybrid. Back in Lctur 23, w bgan ur discussin f dividrs and cuplrs by cnsidring imprtant gnral prprtis f thrand fur-prt ntwrks. This was fllwd by
More information2008 AP Calculus BC Multiple Choice Exam
008 AP Multipl Choic Eam Nam 008 AP Calculus BC Multipl Choic Eam Sction No Calculator Activ AP Calculus 008 BC Multipl Choic. At tim t 0, a particl moving in th -plan is th acclration vctor of th particl
More informationNeutrino 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 informationfiziks 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 informationPLASMA PHYSICS VII. PLASMA DIAGNOSTICS
PLASMA PHYSICS VII. PLASMA DIAGNOSTICS Elctrostatic or Langmuir Probs Probs ar insrtd into th plasma to masur T and n. Th probs prturb th plasma lctrically and may b, in th cas of tokamak plasmas, an intolrabl
More informationAPP-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 informationSeebeck 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 informationInteraction of particles with matter
Introduction to Elmntary Particl Physics. Not 1 Pag 1 of 15 Intraction of particls with mattr 1. Particls and intractions. Wak intractions (nutrinos) 3. Elctromagntic intractions (chargd particls) 3.1.
More informationOptics and Non-Linear Optics I Non-linear Optics Tutorial Sheet November 2007
Optics and Non-Linar Optics I - 007 Non-linar Optics Tutorial Sht Novmbr 007 1. An altrnativ xponntial notion somtims usd in NLO is to writ Acos (") # 1 ( Ai" + A * $i" ). By using this notation and substituting
More informationModern Physics. Unit 5: Schrödinger s Equation and the Hydrogen Atom Lecture 5.6: Energy Eigenvalues of Schrödinger s Equation for the Hydrogen Atom
Mdrn Physics Unit 5: Schrödingr s Equatin and th Hydrgn Atm Lctur 5.6: Enrgy Eignvalus f Schrödingr s Equatin fr th Hydrgn Atm Rn Rifnbrgr Prfssr f Physics Purdu Univrsity 1 Th allwd nrgis E cm frm th
More informationEE243 Advanced Electromagnetic Theory Lec # 23 Scattering and Diffraction. Reading: Jackson Chapter , lite
Applid M Fall 6, Nuruthr Lctur #3 Vr /5/6 43 Advancd lctromagntic Thory Lc # 3 cattring and Diffraction calar Diffraction Thory Vctor Diffraction Thory Babint and Othr Principls Optical Thorm ading: Jackson
More informationIntro 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 informationSpatial 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 informationAnother Explanation of the Cosmological Redshift. April 6, 2010.
Anthr Explanatin f th Csmlgical Rdshift April 6, 010. Jsé Francisc García Juliá C/ Dr. Marc Mrncian, 65, 5. 4605 Valncia (Spain) E-mail: js.garcia@dival.s h lss f nrgy f th phtn with th tim by missin f
More informationNeutrino Probes of Dark Energy and Dark Matter
SNOWPAC@Snowbird March 25, 2010 Nutrino Probs of Dark Enrgy and Dark Mattr Shin ichiro Ando California Institut of Tchnology Dark Enrgy and Dark Mattr 2.0 1.5 1.0 No Big Bang SN Most of th nrgy in th Univrs
More informationLecture 2: Rotational and Vibrational Spectra
Lctur : Rotational and Vibrational Spctra 1. Light-mattr intraction. Rigid-rotor modl for diatomic molcul 3. Non-rigid rotation 4. Vibration-rotation for diatomics H O 1. Light-mattr intraction Possibilitis
More informationfiziks Institute for NET/JRF, GATE, IIT JAM, M.Sc. Entrance, JEST, TIFR and GRE in Physics
Atoic and olcular Physics JEST Q. Th binding nrgy of th hydrogn ato (lctron bound to proton) is.6 V. Th binding nrgy of positroniu (lctron bound to positron) is (a).6 / V (b).6 / 8 V (c).6 8 V (d).6 V.6
More informationBlackbody Radiation. All bodies at a temperature T emit and absorb thermal electromagnetic radiation. How is blackbody radiation absorbed and emitted?
All bodis at a tmpratur T mit ad absorb thrmal lctromagtic radiatio Blackbody radiatio I thrmal quilibrium, th powr mittd quals th powr absorbd How is blackbody radiatio absorbd ad mittd? 1 2 A blackbody
More information22/ 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 informationGamma-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 informationThe Relativistic Stern-Gerlach Force C. Tschalär 1. Introduction
Th Rlativistic Strn-Grlach Forc C. Tschalär. Introduction For ovr a dcad, various formulations of th Strn-Grlach (SG) forc acting on a particl with spin moving at a rlativistic vlocity in an lctromagntic
More informationIDEAS TO IMPLEMENTION QUESTIONS & PROBLEMS SOLUTION QUIDELINES
DO PHYSICS ONLINE IDEAS TO IMPLEMENTION QUESTIONS & PROBLEMS SOLUTION QUIDELINES How to answr a qustion: problm solving (t0_37.pdf) p1.3 Wavs transfr nrgy without any matrial bing transformd. At first
More informationA Propagating Wave Packet Group Velocity Dispersion
Lctur 8 Phys 375 A Propagating Wav Packt Group Vlocity Disprsion Ovrviw and Motivation: In th last lctur w lookd at a localizd solution t) to th 1D fr-particl Schrödingr quation (SE) that corrsponds to
More informationPart 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 informationSchrodinger 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