QMGreensite_merged
Chapter 15 Identical Particles Iwouldn’tbelongtoanyclubthatwouldhaveMEasamember! GrouchoMarx Inordinaryexperience, no twoobjec ...
236 CHAPTER15. IDENTICALPARTICLES thatoneparticlewasfoundatpointa,andoneparticlewasfoundatpointb. The particlesthemselvesdon’tca ...
237 Theonlyphysicalstateswhichareleftunchangedbyaninterchangeofcoordinates andmomenta,wouldbethosespecialpointsinphasespaceforwh ...
238 CHAPTER15. IDENTICALPARTICLES andsz isthe spinindex,ifthe particleshave anintrinisicspin. Then thestates satisfyingtheInterc ...
239 foranychoiceofi,jwithi+=j. Sofar, allthis reasoninghasbeenveryhypothetical. Ifquantumstatescarry noexperimentallyinaccessibl ...
240 CHAPTER15. IDENTICALPARTICLES 15.1 Two-Electron States Supposewehavetwospin-zeroidenticalparticles(suchaspions)whichareprepa ...
15.1. TWO-ELECTRONSTATES 241 Letsbeginwiththespinpart ofthe wavefunction. Inthelast chapter, itwas foundthatspin^12 combinations ...
242 CHAPTER15. IDENTICALPARTICLES TheExclusionPrincipleitselfisderivedfromtheSpin-StatisticsTheormbythe following argument: Any ...
15.2. THEHELIUMATOM 243 wherer 1 (r 2 )isthedistanceofelectron 1 (electron2)tothenucleus,andr 12 isthe distancebetweenthetwoelec ...
244 CHAPTER15. IDENTICALPARTICLES if(nlm)and(n′m′l′)aredifferent,and Ψsingnlm,nlletm=φnlm(r 1 ,θ 1 ,φ 1 )φnlm(r 2 ,θ 2 ,φ 2 )Φ 0 ...
15.2. THEHELIUMATOM 245 and B= ∫ d^3 x 1 d^3 x 2 [φ∗nlm(x 1 )φ 100 (x 1 )] e^2 r 12 [φnlm(x 2 )φ∗ 100 (x 2 )] (15.55) TermAisass ...
246 CHAPTER15. IDENTICALPARTICLES 15.3 The Periodic Table Onelearnsinabeginningchemistrycoursethatchemicalreactionsamongtheele- ...
15.3. THEPERIODICTABLE 247 manyotherparticles,ignoringthesesubtlecorrellationsisoftenjustified. Wewon’t actuallydoanycalculation ...
248 CHAPTER15. IDENTICALPARTICLES commuteswithL^2 ,Lz,andthesolutionscanbelabeledbysamequantumnumbers astheHydrogenatomwavefunct ...
15.3. THEPERIODICTABLE 249 4 s-orbitaltendstobeclosertothenucleus,andhenceseesalargereffectivepositive charge,thanthe 3 d-orbita ...
250 CHAPTER15. IDENTICALPARTICLES energyincreasesbecause Z=4,andthebindingenergyofeachofthe 2 sstatesis greater. Butalthoughthe ...
15.3. THEPERIODICTABLE 251 theeightelementsofLithiumtoNeonintheupperrow,andSodiumtoArgoninthe lowerrow. Nextcometwolong rowsofth ...
252 CHAPTER15. IDENTICALPARTICLES 2.ForagiventotalspinS,thelowestenergystateisthestatewiththelargestL. ForagiventotalSandL, ift ...
Chapter 16 Live Wires and Dead Stars Stars die. Their long livesare interesting andcomplex, occasionallyculminating infantastic ...
254 CHAPTER16. LIVEWIRESANDDEADSTARS 16.1 The Kronig-Penny Model A crystalline solid isa regular array of atoms, and, at first s ...
«
17
18
19
20
21
22
23
24
25
26
»
Free download pdf