Topics in Nuclear Astrophysics
|
|
- Leo Jonathan Dixon
- 5 years ago
- Views:
Transcription
1 Topics in Nucea Astophysics Michae Wiesche Univesity of Note Dame Hydogen buning in Sun xposive eactions in the SN shock font Heium buning in Red Giants Note Dame JINA ectues, Fa 003 p-pocess on acceting white dwafs Nova o neuton stas X-ay bust
2 Out-Line Genea concept and definitions Hydogen buning sequences Nuceosynthesis in ate stea evoution Nuceosynthesis in exposive buning in supenova xposive buning in catacysmic binay systems Nuceosynthesis in Big Bang and Cosmic Rays
3 Topics in Nucea Astophysics I Nucea Signatues & Nucea Physics Obsevationa Signatues Abundances Light-cuves & adioactivity Nucea enegy poduction ate Nucea eaction coss sections Nucea eaction mechanisms Techniques fo detemining coss sections
4 Signatues of Nuceosynthesis gaactic abundance distibution nuceosynthesis pocesses nuceosynthesis histoy of ou univese cosmic chemica evoution Abundance stea H-, He, C, O, Si-buning cosmic ays stas, supenovae s-pocess He-buning in AGB stas, massive stas p-pocess site disputed -pocess type II supenovae, meging neuton stas A
5 Refeences Chemica voution of Gaaxies J Audouze, B M Tinsey Annua Review of Astonomy and Astophysics. Voume 4, Page 43-79, Sep 976 ement Poduction in the ay Univese D N Schamm, R V Wagone Annua Review of Nucea Science. Voume 7, Page 37-74, Dec 977 ementa and Isotopic Composition of the Gaactic Cosmic Rays J A Simpson Annua Review of Nucea and Patice Science. Voume 33, Page 33-38, Dec 983 Nuceosynthesis J W Tuan Annua Review of Nucea and Patice Science. Voume 34, Page 53-97, Dec 984 NUCLOSYNTHSIS IN ASYMPTOTIC GIANT BRANCH STARS: Reevance fo Gaactic nichment and Soa System Fomation M. Busso, R. Gaino, G. J. Wassebug Annua Review of Astonomy and Astophysics. Voume 37, Page , Sep 999
6 Site-Specific Specific Nuceosynthesis Patten Nova Chanda Meta-Poo Hao Sta HST Mg Ne O On-ine obsevation of nuceosynthesis poducts!
7 Meteoites Chondites: Chondues - sma ~mm size spheica incusions in matix Meteoitic incusions ae eay condensates of nuceosynthesis eecta supenovae, novae, stea winds AGB stas STLLAR NUCLOSYNTHSIS AND TH ISOTOPIC COMPOSITION OF PRSOLAR GRAINS FROM PRIMITIV MTORITS nst Zinne, Annua Review of ath and Panetay Sciences. Voume 6, Page 47-88, May 998
8 Cosmo-Chemisty Chemisty of Meteoites Chondue AGB-Stas Supenovae Novae
9 Light and Light-Cuves Light intensity coeates with enegy-output Light cuve foows the adioactive decay aw 56 Ni, 56 Co, 44 Ti
10 Gaactic Radioactivity - γ-radiation Gamma-Ray Astonomy; R Ramaty, R Lingenfete, Annua Review of Nucea and Patice Science. Voume 3, Page 35-69, Dec 98 MeV-30 MeV γ-radiation in Gaactic Suvey 44 Ti in Supenova Cas-A Location.57 MeV γ-adiation Haf ife: 60 yeas
11 Nucea Reactions in Stas geneate enegy ceate new isotopes and eements γ Cp,γ 3 N eaction pobabiity σ: eaction coss section
12 Coss Section Coss Section a eminde! a eminde! coss section aea! [ ] fm A nuceus 3.6 σ poectie obita momentum D h D h h D h h b L b k b p b p b L k p ; obita momentum in σ b b F D D σ σ σ
13 Tansmission though the baie Tansmission though the baie,,, R G R F R P R P ϕ ϕ G B F A V V d d R e Z Z R V e Z Z nuc h h < ϕ ϕ µ µ R 0 F, G ae the Couomb wave functions
14 Coss section fo chaged patices xponentia decine towads owe enegy due to Couomb baie
15 Resonant Reaction Mechanism Resonant Reaction Mechanism esonance captue: popuation of unbound state in compound nuceus S in Sout x int C em gs L C s R out out in T s C in i f i H H P H P H P ψ ψ ψ ψ ψ ψ ψ ψ ψ ψ γ γ Γ Γ Γ Γ Γ Γ Γ T p out in J ω ω σ D
16 Diect Captue Mechanism one-step eaction mechanism though e-m inteaction σ P ψ H ψ ψ f em p T S in P is the penetabiity though the Couomb and obita momentum baie γ enegy changes with patice enegy
17 coss section fo neuton captue coss section fo neuton captue 0 d d h h ϕ µ µ no Couomb baie, ust obita momentum tem! k k k P k k P k P R P λ ϕ ϕ
18 Coss section fo neuta patices 0 0, s-wave foows /v aw,, p-wave expeiences obita momentum baie
19 Hause Feshbach Appoach Hause Feshbach Appoach assumption of many esonances! high eve density ρ in patice unbound egion of compound nuceus :,,,,,,,, T J T J T J T J m o i J tot o i i i δ σ D tansition pobabiity Smooth Couomb baie detemined enegy dependence!
20 invese eactions A a B b o B b A a
21 detaied baance theoem I A a C J B b ϕ H ϕ Bb ϕ H ϕ Bb identica matix eements fo tansition though same compound configuation σ σ Bb D D Bb A B J J a b ϕ ϕ Bb H ϕ H ϕ Bb
22 detaied baance theoem II A a C J B b theoem aows to cacuate eaction coss section fom known coss section of the invese eaction pocess! λ µ ; µ m m A A m m a a cm σ σ Bb B A b a m m B A m m b a Bb Ab
23 Concusion obsevationa indication fo nucea pocesses in the past and pesent univese! ow enegy eaction pocesses though esonant and non-esonant eaction channes coss section detemination though singe esonance fomaism diect captue o tansfe fomaism statistica mode fomaism detaied baance appoach
Jackson 4.7 Homework Problem Solution Dr. Christopher S. Baird University of Massachusetts Lowell
Jackson 4.7 Homewok obem Soution D. Chistophe S. Baid Univesity of Massachusetts Lowe ROBLEM: A ocaized distibution of chage has a chage density ρ()= 6 e sin θ (a) Make a mutipoe expansion of the potentia
More informationNuclear Reactions: Lecture on two-body description. Ismail Boztosun
Nucea Reactions: Lectue on two-body desciption Isai Boztosun Feb 0 Wasaw boztosun@adeniz.edu.t Contents Fundeantes: Types of nucea eactions Obsevabes Copound vs Diect eactions Coision theoy-eastic scatteing
More informationStellar Structure and Evolution
Stella Stuctue and Evolution Theoetical Stella odels Conside each spheically symmetic shell of adius and thickness d. Basic equations of stella stuctue ae: 1 Hydostatic equilibium π dp dp d G π = G =.
More informationThree-dimensional systems with spherical symmetry
Thee-dimensiona systems with spheica symmety Thee-dimensiona systems with spheica symmety 006 Quantum Mechanics Pof. Y. F. Chen Thee-dimensiona systems with spheica symmety We conside a patice moving in
More informationScientific goal in Nuclear Astrophysics is to explore:
Nuclear Physics in Stars Michael Wiescher University of Notre Dame Joint Institute for Nuclear Astrophysics Scientific goal in Nuclear Astrophysics is to explore: Nuclear Signature in the Cosmos The Nuclear
More informationand Slater Sum Rule Method * M L = 0, M S = 0 block: L L+ L 2
5.7 Lectue #4 e / ij and Sate Sum Rue Method 4 - LAST TIME:. L,S method fo setting up NLM L SM S many-eecton basis states in tems of inea combination of Sate deteminants * M L = 0, M S = 0 boc: L L+ L
More informationMaking an Exotic Beam with MARS : Part 1. Brian Roeder Cyclotron Institute Texas A&M Univ. 22 June 2009
Making an Exotic Beam with MARS : Pat 1 Bian Roede Cycloton Institute Texas A&M Univ. June 009 Oveview Motivation: Why do we need to make an exotic beam? In-flight Poduction of exotic beams Reaction Mechanisms
More informationAdvanced Quantum Mechanics
Advanced Quantum Mechanics Rajdeep Sensama sensama@theoy.tif.es.in Scatteing Theoy Ref : Sakuai, Moden Quantum Mechanics Tayo, Quantum Theoy of Non-Reativistic Coisions Landau and Lifshitz, Quantum Mechanics
More informationMechanics Physics 151
Mechanics Physics 5 Lectue 5 Centa Foce Pobem (Chapte 3) What We Did Last Time Intoduced Hamiton s Pincipe Action intega is stationay fo the actua path Deived Lagange s Equations Used cacuus of vaiation
More informationMechanics Physics 151
Mechanics Physics 5 Lectue 5 Centa Foce Pobem (Chapte 3) What We Did Last Time Intoduced Hamiton s Pincipe Action intega is stationay fo the actua path Deived Lagange s Equations Used cacuus of vaiation
More informationLecture 1. time, say t=0, to find the wavefunction at any subsequent time t. This can be carried out by
Lectue The Schödinge equation In quantum mechanics, the fundamenta quantity that descibes both the patice-ike and waveike chaacteistics of patices is wavefunction, Ψ(. The pobabiity of finding a patice
More informationObjectives. We will also get to know about the wavefunction and its use in developing the concept of the structure of atoms.
Modue "Atomic physics and atomic stuctue" Lectue 7 Quantum Mechanica teatment of One-eecton atoms Page 1 Objectives In this ectue, we wi appy the Schodinge Equation to the simpe system Hydogen and compae
More informationRelating Scattering Amplitudes to Bound States
Reating Scatteing Ampitudes to Bound States Michae Fowe UVa. 1/17/8 Low Enegy Appoximations fo the S Matix In this section we examine the popeties of the patia-wave scatteing matix ( ) = 1+ ( ) S k ikf
More informationGeneral momentum equation
PY4A4 Senio Sophiste Physics of the Intestella and Integalactic Medium Lectue 11: Collapsing Clouds D Gaham M. Hape School of Physics, TCD Geneal momentum equation Du u P Dt uu t 1 B 4 B 1 B 8 Lagangian
More informationPHYSICS 2D FINAL EXAM WINTER QUARTER 2016 PROF. HIRSCH MARCH 15, 2016 Formulas: Time dilation; Length contraction : Δt = γδt' γ Δt p.
PHYSICS D FINAL EXAM WINTER QUARTER 06 PROF. HIRSCH MARCH 5, 06 Fomuas: Time diation; Lengt contaction : Δt = γδt' γ Δt p ; L = L p /γ ; c = 3 0 8 m /s Loentz tansfomation : x'= γ(x vt) ; y'= y ; z'= z
More informationPhysics 235 Chapter 5. Chapter 5 Gravitation
Chapte 5 Gavitation In this Chapte we will eview the popeties of the gavitational foce. The gavitational foce has been discussed in geat detail in you intoductoy physics couses, and we will pimaily focus
More informationPhotoemission Spectroscopy Fundamental Aspects
Photoemission Spectoscopy Fundamental Aspects G. Stefani Dipatimento di Fisica E. Amaldi, Univesita Roma Te CISM Unita di Riceca di Roma 3 School G. Stefani 1 hν Basic Concepts - E, e K e εˆ E MAX e =
More information2. Electrostatics. Dr. Rakhesh Singh Kshetrimayum 8/11/ Electromagnetic Field Theory by R. S. Kshetrimayum
2. Electostatics D. Rakhesh Singh Kshetimayum 1 2.1 Intoduction In this chapte, we will study how to find the electostatic fields fo vaious cases? fo symmetic known chage distibution fo un-symmetic known
More information15 B1 1. Figure 1. At what speed would the car have to travel for resonant oscillations to occur? Comment on your answer.
Kiangsu-Chekiang College (Shatin) F:EasteHolidaysAssignmentAns.doc Easte Holidays Assignment Answe Fom 6B Subject: Physics. (a) State the conditions fo a body to undego simple hamonic motion. ( mak) (a)
More informationSeidel s Trapezoidal Partitioning Algorithm
CS68: Geometic Agoithms Handout #6 Design and Anaysis Oigina Handout #6 Stanfod Univesity Tuesday, 5 Febuay 99 Oigina Lectue #7: 30 Januay 99 Topics: Seide s Tapezoida Patitioning Agoithm Scibe: Michae
More informationIntroduction to Nuclear Forces
Intoduction to Nuclea Foces One of the main poblems of nuclea physics is to find out the natue of nuclea foces. Nuclea foces diffe fom all othe known types of foces. They cannot be of electical oigin since
More informationLecture 3. Basic Physics of Astrophysics - Force and Energy. Forces
Foces Lectue 3 Basic Physics of Astophysics - Foce and Enegy http://apod.nasa.gov/apod/ Momentum is the poduct of mass and velocity - a vecto p = mv (geneally m is taken to be constant) An unbalanced foce
More informationDEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS
DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS TSOKOS LESSON 10-1 DESCRIBING FIELDS Essential Idea: Electic chages and masses each influence the space aound them and that influence can be epesented
More informationSection 11. Timescales Radiation transport in stars
Section 11 Timescales 11.1 Radiation tanspot in stas Deep inside stas the adiation eld is vey close to black body. Fo a black-body distibution the photon numbe density at tempeatue T is given by n = 2
More informationPHYS 705: Classical Mechanics. Central Force Problems I
1 PHYS 705: Cassica Mechanics Centa Foce Pobems I Two-Body Centa Foce Pobem Histoica Backgound: Kepe s Laws on ceestia bodies (~1605) - Based his 3 aws on obsevationa data fom Tycho Bahe - Fomuate his
More informationCh 13 Universal Gravitation
Ch 13 Univesal Gavitation Ch 13 Univesal Gavitation Why do celestial objects move the way they do? Keple (1561-1630) Tycho Bahe s assistant, analyzed celestial motion mathematically Galileo (1564-1642)
More informationSynthesis of Epichlorohydrin from Glycerol. Hydrochlorination of Glycerol
Synthesis of Epichloohydin fom yceol. Hydochloination of yceol Geogy Dmitiev S.*, Leonid Zanaveskin N. Fedeation State Unitay Oganization "Kapov Institute of Physical hemisty" Russia, Moscow, Minusinskaya
More informationMechanics Physics 151
Mechanics Physics 151 Lectue 6 Kepe Pobem (Chapte 3) What We Did Last Time Discussed enegy consevation Defined enegy function h Conseved if Conditions fo h = E Stated discussing Centa Foce Pobems Reduced
More informationPulse Neutron Neutron (PNN) tool logging for porosity Some theoretical aspects
Pulse Neuton Neuton (PNN) tool logging fo poosity Some theoetical aspects Intoduction Pehaps the most citicism of Pulse Neuton Neuon (PNN) logging methods has been chage that PNN is to sensitive to the
More informationTakuya Ohtani (Osaka University Theoretical Astrophysics Group D2) Collaborator: Toru Tsuribe(Osaka Univ.)
Simultaneous Gowth of a Potosta and a Young Cicumstella Disk in the Ealy Phase of Disk Fomation * Takuya Ohtani (Osaka Univesity Theoetical Astophysics Goup D2) Collaboato: Tou Tsuibe(Osaka Univ.) 1 Abstact
More information3. Electromagnetic Waves II
Lectue 3 - Electomagnetic Waves II 9 3. Electomagnetic Waves II Last time, we discussed the following. 1. The popagation of an EM wave though a macoscopic media: We discussed how the wave inteacts with
More informationGamma-ray nucleosynthesis. Predictions - Gamma-ray nuclei - Production sites Observations - Point sources - Diffuse emission
Gamma-ray nucleosynthesis N. Mowlavi Geneva Observatory Predictions - Gamma-ray nuclei - Production sites Observations - Point sources - Diffuse emission 1 I. Predictions 2 300 250 200 150 100 50 10 6
More informationUnit 6 Lecture Number 36
Seect/Specia Topics fom Theoy of Atomic Coisions and Spectoscopy P. C. Deshmuh Depatment of Physics Indian Institute of Technoogy Madas Chennai 636 Unit 6 Lectue Numbe 36 Quantum Theoy of Coisions Pat
More informationCapture and Decay of Electroweak WIMPonium
Captue and Decay of Electoweak WIMPonium Patick Fitzpatick based on JCAP 1702 (2017) 005 with Pouya Asadi, Matthew Baumgat Emmett Kupczak, Tacy Slatye Rutges MIT WIMPs WIMPs exchange ladde of electoweak
More informationBuilding on the Macroscopic to understand the Microscopic: from Systems of Star Clusters to Individual Star-Forming Regions
ESTEC, Noodwijk, 03.05.2013 Building on the Macoscopic to undestand the Micoscopic: fom Systems of Sta Clustes to Individual Sta-Foming Regions Geneviève ve Pamentie Olympia-Moata Fellow of Heidelbeg Univesity
More information1 Fundamental Solutions to the Wave Equation
1 Fundamental Solutions to the Wave Equation Physical insight in the sound geneation mechanism can be gained by consideing simple analytical solutions to the wave equation. One example is to conside acoustic
More informationLecture 3. Basic Physics of Astrophysics - Force and Energy. Forces
Lectue 3 Basic Physics of Astophysics - Foce and Enegy http://apod.nasa.gov/apod/ Foces Momentum is the poduct of mass and velocity - a vecto p = mv (geneally m is taken to be constant) An unbalanced foce
More informationAnnihilation of Relativistic Positrons in Single Crystal with production of One Photon
Annihilation of Relativistic Positons in Single Cystal with poduction of One Photon Kalashnikov N.P.,Mazu E.A.,Olczak A.S. National Reseach Nuclea Univesity MEPhI (Moscow Engineeing Physics Institute),
More information= ρ. Since this equation is applied to an arbitrary point in space, we can use it to determine the charge density once we know the field.
Gauss s Law In diffeentia fom D = ρ. ince this equation is appied to an abita point in space, we can use it to detemine the chage densit once we know the fied. (We can use this equation to ve fo the fied
More informationThe Solutions of the Classical Relativistic Two-Body Equation
T. J. of Physics (998), 07 4. c TÜBİTAK The Soutions of the Cassica Reativistic Two-Body Equation Coşkun ÖNEM Eciyes Univesity, Physics Depatment, 38039, Kaysei - TURKEY Received 3.08.996 Abstact With
More informationGalactic Contraction and the Collinearity Principle
TECHNISCHE MECHANIK, Band 23, Heft 1, (2003), 21-28 Manuskipteingang: 12. August 2002 Galactic Contaction and the Collineaity Pinciple F.P.J. Rimott, FA. Salusti In a spial galaxy thee is not only a Keplefoce
More informationc 2003, Michael Marder
Expeimental Detemination of Cystal Stuctues 1 8th Januay 003 c 003, Michael Made Histoy Expeiments and theoy in 191 finally evealed locations of atoms in cystalline solids. Essential ingedients: Theoy
More informationThe evolution of the phase space density of particle beams in external fields
The evolution of the phase space density of paticle beams in extenal fields E.G.Bessonov Lebedev Phys. Inst. RAS, Moscow, Russia, COOL 09 Wokshop on Beam Cooling and Related Topics August 31 Septembe 4,
More informationExtrasolar Planets. Detection Methods. Direct Imaging. Introduction. = Requires two ingredients:
D D O O D D O O D D G S D X 9 1 G S D X Detection ethods 9 3 Possible ways to detect extasola planets: Diect ethod:... diect imaging of planet xtasola Planets ndiect ethods: seach fo evidence fo......
More informationLecture 3. Basic Physics of Astrophysics - Force and Energy. Forces.
Tue Wed Thu Thu Lectue 3 Basic Physics of Astophysics - Foce and Enegy ISB 165 Wed 5 Thu 4 http://apod.nasa.gov/apod/ Foces Momentum is the poduct of mass and velocity - a vecto p = mv (geneally m is taken
More informationQuantum tunneling: α-decay
Announcements: Quantum tunneling: α-decay Exam 2 solutions ae posted on CULean Homewok solutions will be posted by 7pm tonight Next weeks homewok will be available by noon tomoow Homewok aveage fo set
More informationKEPLER S LAWS AND PLANETARY ORBITS
KEPE S AWS AND PANETAY OBITS 1. Selected popeties of pola coodinates and ellipses Pola coodinates: I take a some what extended view of pola coodinates in that I allow fo a z diection (cylindical coodinates
More informationElectric Field. y s +q. Point charge: Uniformly charged sphere: Dipole: for r>>s :! ! E = 1. q 1 r 2 ˆr. E sphere. at <0,r,0> at <0,0,r>
Electic Field Point chage: E " ˆ Unifomly chaged sphee: E sphee E sphee " Q ˆ fo >R (outside) fo >s : E " s 3,, at z y s + x Dipole moment: p s E E s "#,, 3 s "#,, 3 at
More informationWhy do globular clusters have more than one main sequence? Ref: Gratton et al. 2012, A&ARv, 20, 50
Why do globula clustes have moe than one main sequence? Ref: Gatton et al. 2012, A&ARv, 20, 50 1 st, a petty pictue Outline The lives of stas Some basic physics Impotance of clustes Globula clustes ae
More informationElectrostatic Potential
Chapte 23 Electostatic Potential PowePoint Lectues fo Univesity Physics, Twelfth Edition Hugh D. Young and Roge A. Feedman Lectues by James Pazun Copyight 2008 Peason Education Inc., publishing as Peason
More informationScattering in Three Dimensions
Scatteing in Thee Dimensions Scatteing expeiments ae an impotant souce of infomation about quantum systems, anging in enegy fom vey low enegy chemical eactions to the highest possible enegies at the LHC.
More informationRecap. Centripetal acceleration: v r. a = m/s 2 (towards center of curvature)
a = c v 2 Recap Centipetal acceleation: m/s 2 (towads cente of cuvatue) A centipetal foce F c is equied to keep a body in cicula motion: This foce poduces centipetal acceleation that continuously changes
More informationStellar Evolution: what do we know?
Stellar Evolution: what do we know? New Tools - Astronomy satellite based observatories Hubble Space Telescope Compton Gamma-Ray Observatory Chandra X-Ray Observatory INTEGRAL ground based observatories
More informationKepler's 1 st Law by Newton
Astonom 10 Section 1 MWF 1500-1550 134 Astonom Building This Class (Lectue 7): Gavitation Net Class: Theo of Planeta Motion HW # Due Fida! Missed nd planetaium date. (onl 5 left), including tonight Stadial
More informationMath Notes on Kepler s first law 1. r(t) kp(t)
Math 7 - Notes on Keple s fist law Planetay motion and Keple s Laws We conside the motion of a single planet about the sun; fo simplicity, we assign coodinates in R 3 so that the position of the sun is
More information20th Century Atomic Theory - Hydrogen Atom
0th Centuy Atomic Theoy - Hydogen Atom Ruthefod s scatteing expeiments (Section.5, pp. 53-55) in 1910 led to a nuclea model of the atom whee all the positive chage and most of the mass wee concentated
More informationFri Angular Momentum Quiz 10 RE 11.a; HW10: 13*, 21, 30, 39 Mon , (.12) Rotational + Translational RE 11.b Tues.
Fi. 11.1 Angula Momentum Quiz 10 R 11.a; HW10: 13*, 1, 30, 39 Mon. 11.-.3, (.1) Rotational + Tanslational R 11.b Tues. P10 Mon. 11.4-.6, (.13) Angula Momentum & Toque Tues. Wed. 11.7 -.9, (.11) Toque R
More informationChapter Sixteen: Electric Charge and Electric Fields
Chapte Sixteen: Electic Chage and Electic Fields Key Tems Chage Conducto The fundamental electical popety to which the mutual attactions o epulsions between electons and potons ae attibuted. Any mateial
More informationarxiv:gr-qc/ v1 1 Sep 2005
Radial fall of a test paticle onto an evapoating black hole Andeas Aste and Dik Tautmann Depatment fo Physics and Astonomy, Univesity of Basel, 456 Basel, Switzeland E-mail: andeas.aste@unibas.ch June
More informationAstronomy 111, Fall October 2011
Astonomy 111, Fall 011 4 Octobe 011 Today in Astonomy 111: moe details on enegy tanspot and the tempeatues of the planets Moe about albedo and emissivity Moe about the tempeatue of sunlit, adiation-cooled
More informationElectrostatics. 3) positive object: lack of electrons negative object: excess of electrons
Electostatics IB 12 1) electic chage: 2 types of electic chage: positive and negative 2) chaging by fiction: tansfe of electons fom one object to anothe 3) positive object: lack of electons negative object:
More informationTeoría del Funcional de la Densidad (Density Functional Theory)
Teoía del Funcional de la Densidad (Density Functional Theoy) Motivation: limitations of the standad appoach based on the wave function. The electonic density n() as the key vaiable: Functionals & Thomas-Femi
More informationDILUTE QUANTUM DROPLETS
DILUTE QUANTUM DROPLETS Auel Bulgac Phys. Rev. Lett. 89, 54 Quantum Fluids at T Liquid 4 He and He Electons but only embedded in an ion backgound BEC in alkali atoms and hydogen and the Femi-Diac countepats
More informationBasic properties of X- rays and neutrons
Basic popeties of X- ays and neutons Based on lectue notes of Sunil K. Sinha, UC San Diego, LANL J. Teixiea LLB Saclay G. Knelle, CBM Oléans/SOLEIL The photon also has wave and paticle popeties E=h! =hc/l=
More informationRIKEN Nishina Center for Acceletor based Science 1
Rabindanath Tago C. V. Raman 6-Ma-4 RIKEN Nishina Cente fo Acceleto based Science Bijay K. Agawal Saha Institute of Nuclea Physics Kolkata, India 6-Ma-4 RIKEN Nishina Cente fo Acceleto based Science Outline
More informationPressure in the Average-Atom Model
Pessue in the Aveage-Atom Moe W.. Johnson Depatment of Physics, 225 Nieuwan Science Ha Note Dame Univesity, Note Dame, IN 46556 Febuay 28, 2002 Abstact The (we-known) quantum mechanica expession fo the
More informationMAGNETIC FIELD INTRODUCTION
MAGNETIC FIELD INTRODUCTION It was found when a magnet suspended fom its cente, it tends to line itself up in a noth-south diection (the compass needle). The noth end is called the Noth Pole (N-pole),
More information? this lecture. ? next lecture. What we have learned so far. a Q E F = q E a. F = q v B a. a Q in motion B. db/dt E. de/dt B.
PHY 249 Lectue Notes Chapte 32: Page 1 of 12 What we have leaned so fa a a F q a a in motion F q v a a d/ Ae thee othe "static" chages that can make -field? this lectue d/? next lectue da dl Cuve Cuve
More informationParamagnetic spin pumping with microwave magnetic fields
Paamagnetic spin pumping with micowave magnetic fields Steven M. Watts Physics of Nanodevices Mateials Science Cente Univesity of Goningen the Nethelands http://nanodevices.fmns.ug.nl/ s.watts@ug.nl Mesoscopic
More informationModeling Fermi Level Effects in Atomistic Simulations
Mat. Res. Soc. Symp. Poc. Vol. 717 Mateials Reseach Society Modeling Femi Level Effects in Atomistic Simulations Zudian Qin and Scott T. Dunham Depatment of Electical Engineeing, Univesity of Washington,
More informationOn- and off-shell Jost functions and their integral representations
PRAMANA c Indian Academy of Sciences Vo. 86, No. 5 jouna of May 16 physics pp. 947 956 On- off-she Jost functions thei intega epesentations U LAHA J BHOI Depatment of Physics, Nationa Institute of Technoogy,
More information( ) F α. a. Sketch! r as a function of r for fixed θ. For the sketch, assume that θ is roughly the same ( )
. An acoustic a eflecting off a wav bounda (such as the sea suface) will see onl that pat of the bounda inclined towad the a. Conside a a with inclination to the hoizontal θ (whee θ is necessail positive,
More informationAST 121S: The origin and evolution of the Universe. Introduction to Mathematical Handout 1
Please ead this fist... AST S: The oigin and evolution of the Univese Intoduction to Mathematical Handout This is an unusually long hand-out and one which uses in places mathematics that you may not be
More informationCosmology & White Holes
Semina 1 Mach 013, Vitoia,, Bazil Cosmology & White Holes V. N. Lukash co: E. V. Mikheeva,, V. N. Stokov Asto Space Cente of Lebedev Physics Institute LMS, Phys. Uspechi (#,8) 01; LS, IJMPA 013 Extapolating
More informationLecture 3.7 ELECTRICITY. Electric charge Coulomb s law Electric field
Lectue 3.7 ELECTRICITY Electic chage Coulomb s law Electic field ELECTRICITY Inteaction between electically chages objects Many impotant uses Light Heat Rail tavel Computes Cental nevous system Human body
More information= 4 3 π( m) 3 (5480 kg m 3 ) = kg.
CHAPTER 11 THE GRAVITATIONAL FIELD Newton s Law of Gavitation m 1 m A foce of attaction occus between two masses given by Newton s Law of Gavitation Inetial mass and gavitational mass Gavitational potential
More informationFrom Gravitational Collapse to Black Holes
Fom Gavitational Collapse to Black Holes T. Nguyen PHY 391 Independent Study Tem Pape Pof. S.G. Rajeev Univesity of Rocheste Decembe 0, 018 1 Intoduction The pupose of this independent study is to familiaize
More information1D2G - Numerical solution of the neutron diffusion equation
DG - Numeical solution of the neuton diffusion equation Y. Danon Daft: /6/09 Oveview A simple numeical solution of the neuton diffusion equation in one dimension and two enegy goups was implemented. Both
More informationDEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS
DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS LSN 10-: MOTION IN A GRAVITATIONAL FIELD Questions Fom Reading Activity? Gavity Waves? Essential Idea: Simila appoaches can be taken in analyzing electical
More informationPerspectives on Nuclear Astrophysics
Perspectives on Nuclear Astrophysics and the role of DUSEL Nuclear Astrophysics is a broad field that needs facilities from 1keV-100GeV A low energy accelerator DIANA a DUSEL is a unique instrument for
More information5.61 Physical Chemistry Lecture #23 page 1 MANY ELECTRON ATOMS
5.6 Physical Chemisty Lectue #3 page MAY ELECTRO ATOMS At this point, we see that quantum mechanics allows us to undestand the helium atom, at least qualitatively. What about atoms with moe than two electons,
More informationA Relativistic Electron in a Coulomb Potential
A Relativistic Electon in a Coulomb Potential Alfed Whitehead Physics 518, Fall 009 The Poblem Solve the Diac Equation fo an electon in a Coulomb potential. Identify the conseved quantum numbes. Specify
More informationToday in Astronomy 142: the Milky Way s disk
Today in Astonomy 14: the Milky Way s disk Moe on stas as a gas: stella elaxation time, equilibium Diffeential otation of the stas in the disk The local standad of est Rotation cuves and the distibution
More informationFailure Probability of 2-within-Consecutive-(2, 2)-out-of-(n, m): F System for Special Values of m
Jounal of Mathematics and Statistics 5 (): 0-4, 009 ISSN 549-3644 009 Science Publications Failue Pobability of -within-consecutive-(, )-out-of-(n, m): F System fo Special Values of m E.M.E.. Sayed Depatment
More informationII. Electric Field. II. Electric Field. A. Faraday Lines of Force. B. Electric Field. C. Gauss Law. 1. Sir Isaac Newton ( ) A.
II. Electic Field D. Bill Pezzaglia II. Electic Field. Faaday Lines of Foce B. Electic Field C. Gauss Law Updated 08Feb010. Lines of Foce 1) ction at a Distance ) Faaday s Lines of Foce ) Pinciple of Locality
More information7.2. Coulomb s Law. The Electric Force
Coulomb s aw Recall that chaged objects attact some objects and epel othes at a distance, without making any contact with those objects Electic foce,, o the foce acting between two chaged objects, is somewhat
More information1.2 Differential cross section
.2. DIFFERENTIAL CROSS SECTION Febuay 9, 205 Lectue VIII.2 Diffeential coss section We found that the solution to the Schodinge equation has the fom e ik x ψ 2π 3/2 fk, k + e ik x and that fk, k = 2 m
More informationGermán Sierra Instituto de Física Teórica CSIC-UAM, Madrid, Spain
Gemán Siea Instituto de Física Teóica CSIC-UAM, Madid, Spain Wo in pogess done in collaboation with J. Lins and S. Y. Zhao (Univ. Queensland, Austalia) and M. Ibañez (IFT, Madid) Taled pesented at the
More informationPreliminary Exam: Quantum Physics 1/14/2011, 9:00-3:00
Peliminay Exam: Quantum Physics /4/ 9:-: Answe a total of SIX questions of which at least TWO ae fom section A and at least THREE ae fom section B Fo you answes you can use eithe the blue books o individual
More informationIn the Beginning. After about three minutes the temperature had cooled even further, so that neutrons were able to combine with 1 H to form 2 H;
In the Beginning Obviously, before we can have any geochemistry we need some elements to react with one another. The most commonly held scientific view for the origin of the universe is the "Big Bang"
More informationParity Conservation in the weak (beta decay) interaction
Paity Consevation in the weak (beta decay) inteaction The paity opeation The paity opeation involves the tansfomation In ectangula coodinates -- x Æ -x y Æ -y z Æ -z In spheical pola coodinates -- Æ q
More informationElectrostatics (Electric Charges and Field) #2 2010
Electic Field: The concept of electic field explains the action at a distance foce between two chaged paticles. Evey chage poduces a field aound it so that any othe chaged paticle expeiences a foce when
More informationWater Tunnel Experiment MAE 171A/175A. Objective:
Wate Tunnel Expeiment MAE 7A/75A Objective: Measuement of te Dag Coefficient of a Cylinde Measuement Tecniques Pessue Distibution on Cylinde Dag fom Momentum Loss Measued in Wake it lase Dopple Velocimety
More informationAnswers to End-of-chapter questions
Chapte 1 1 a Linea momentum = mass velocity b Momentum is a poduct of a scala quantity (mass) and a vecto quantity (velocity); hence it is a vecto quantity. c v = u + as and u = 0 v =.5 40 = 16.7 m s 1
More informationPHYSICS 272 Electric & Magnetic Interactions
PHYS 7: Matte and Inteactions II -- Electic And Magnetic Inteactions http://www.physics.pudue.edu/academic_pogams/couses/phys7/ PHYSICS 7 Electic & Magnetic Inteactions Lectue 3 Chaged Objects; Polaization
More informationCircular Orbits. and g =
using analyse planetay and satellite motion modelled as unifom cicula motion in a univesal gavitation field, a = v = 4π and g = T GM1 GM and F = 1M SATELLITES IN OBIT A satellite is any object that is
More informationPHYSICS 272H Electric & Magnetic Interactions
PHYSICS 7H Electic & Magnetic Inteactions Physics couse home page: http://www.physics.pudue.edu/academic-pogams/couses/all_couses.php Blackboad Lean: https://mycouses.pudue.edu/webapps/login/ Couse Content
More informationLecture 1a: Satellite Orbits
Lectue 1a: Satellite Obits Outline 1. Newton s Laws of Motion 2. Newton s Law of Univesal Gavitation 3. Calculating satellite obital paametes (assuming cicula motion) Scala & Vectos Scala: a physical quantity
More informationGeneviève Parmentier
MPIfR/AIfA Hauptkolloquium, 19 Novembe 2010 Splinte Meeting@AG2010, Bonn, 15 Septembe 2010 Fom Molecula Clump Popeties to Galaxy Evolution with Sta Clustes Geneviève Pamentie Agelande-Institut füf Astonomie
More informationHistory of Astronomy - Part II. Tycho Brahe - An Observer. Johannes Kepler - A Theorist
Histoy of Astonomy - Pat II Afte the Copenican Revolution, astonomes stived fo moe obsevations to help bette explain the univese aound them Duing this time (600-750) many majo advances in science and astonomy
More information