非相对论量子力学第3版：理论物理学教程第3卷（英文影印版）

　　THE previous edition of this volume was the last book on which I worked together with my teacher L. D. Landau. The revision and expansion that we then carried out was very considerable， and affected every chapter. For the third edition， naturally， much less revision was needed. Nevertheless， a fair amount of new material has been added， including some more problems， and relating both to recent research and to earlier results that have now become of greater significance.此书为英文版。

暂缺《非相对论量子力学第3版：理论物理学教程第3卷（英文影印版）》作者简介

FromthePrefacetothefirstEnglishedition.
PrefacetothesecondEnglishedition
PrefacetothethirdRussianedition
Editor'sPrefacetothefourthRussianedition
Notation
I.THEBASICCONCEPTSOFQUANTUMMECHANICS
1.Theuncertaintyprinciple
2.Theprincipleofsuperposition
3.Operators
4.Additionandmultiplicationofoperators
5.Thecontinuousspectrum
6.Thepassagetothelimitingcaseofclassicalmechanics
7.Thewavefunctionandmeasurements
II.ENERGYANDMOMENTUM
8.TheHamiltonianoperator
9.Thedifferentiationofoperatorswithrespecttotime
10.Stationarystates
11.Matrices
12.Transformationofmatrices
13.TheHeisenbergrepresentationofoperators
14.Thedensitymatrix
15.Momentum
16.Uncertaintyrelations
III.SCHRODINGER'SEQUATION
17.Schrodinger'sequation
18.ThefundamentalpropertiesofSchrodinger'sequation
19.Thecurrentdensity
20.Thevariationalprinciple
21.Generalpropertiesofmotioninonedimension
22.Thepotentialwell
23.Thelinearoscillator
24.Motioninahomogeneousfield
25.Thetransmissioncoefficient
IV.ANGULARMOMENTUM
26.Angularmomentum
27.Eigenvaluesoftheangularmomentum
28.Eigenfunctionsoftheangularmomentum
29.Matrixelementsofvectors
30.Parityofastate
31.Additionofangularmomenta
V.MOTIONINACENTRALLYSYMMETRICFIELD
32.Motioninacentrallysymmetricfield
33.Sphericalwaves
34.Resolutionofaplanewave
35.Fallofaparticletothecentre
36.MotioninaCoulombfield(sphericalpolarcoordinates)
37.MotioninaCoulombfield(paraboliccoordinates)
VI.PERTURBATIONTHEORY
38.Perturbationsindependentoftime
39.Thesecularequation
40.Perturbationsdependingontime
41.Transitionsunderaperturbationactingforafinitetime
42.Transitionsundertheactionofaperiodicperturbation
43.Transitionsinthecontinuousspectrum
44.Theuncertaintyrelationforenergy
45.Potentialenergyssaperturbation
VII.THEQUASI-CLASSICALCASE
46.Thewavefunctioninthequasi:classicalcase
47.Boundaryconditionsinthequasi-classicalcase
48.BohrandSommerfeld'squantizationrule
49.Quasi-classicalmotioninacentrallysymmetricfield
50.Penetrationthroughapotentialbarrier
51.Calculationofthequasi-classicalmatrixelements
52.Thetransitionprobabilityinthequasi-dsssicalcase
53.Transitionsundertheactionofadiabaticperturbations
VIII.SPIN
54.Spin
55.Thespinoperator
56.Spinors
57.Thewavefunctionsofparticleswitharbitraryspin
58.Theoperatoroffiniterotations
59.Partialpolarizationofparticles
60.TimereversalandKramers'theorem
IX.IDENTITYOFPARTICLES
61.Theprincipleofindistinguishabilityofsimilarparticles
62.Exchangeinteraction
63.Symmetrywithrespecttointerchange
64.Secondquantization.ThecaseofBosestatistics
65.Secondquantization.ThecaseofFermistatistics
X.THEATOM
66.Atomicenergylevels
67.Electronstatesintheatom
68.Hydrogen-likeenergylevels
69.Theself-consistentfield
70.TheThomas-Fermiequation
71.Wavefunctionsoftheouterelectronsnearthenucleus
72.Finestructureofatomiclevels
73.TheMendeleevperiodicsystem
74.X-rayterms
75.Multipolemoments
76.Anatominanelectricfield
77.Ahydrogenatominanelectricfield
XI.THEDIATOMICMOLECULE
78.Electrontermsinthediatomicmolecule
79.Theintersectionofelectronterms
80.Therelationbetweenmolecularandatomicterms..
81.Valency
82.Vibrationalandrotationalstructuresofsinglettermsinthediatomicmolecule
83.Multipletterms.Casea
84.Multipletterms.Caseb
85.Muhipletterms.Casescandd
86.Symmetryofmolecularterms
87.Matrixelementsforthediatomicmolecule
88.A-doubling
89.Theinteractionofatomsatlargedistances
90.Pre-dissociation
XII.THETHEORYOFSYMMETRY
91.Symmetrytransformations
92.Transformationgroups
93.Pointgroups
94.Representationsofgroups
95.Irreduciblerepresentationsonpointgroups
96.Irreduciblerepresentationsandtheclassificationofterms
97.Selectionrulesformatrixelements
98.Continuousgroups
99.Two-valuedrepresentationsoffinitepointgroups
XIII.POLYATOMICMOLECULES
100.Theclassificationofmolecularvibrations
101.Vibrationalenergylevels
102.Stabilityofsymmetricalconfigurationsofthemolecule
103.Quantizationoftherotationofatop
104.Theinteractionbetweenthevibrationsandtherotationofthemolecule
105.Theclassificationofmolecularterms
XIV.ADDITIONOFANGULARMOMENTA
106.3j-symbols
107.Matrixelementsoftensors
108.6j-symbols
109.Matrixelementsforadditionofangularmomenta
110.Matrixelementsforaxiallysymmetricsystems
XV.MOTIONINAMAGNETICFIELD
111.Schr6dinger'sequationinamagneticfield
112.Motioninauniformmagneticfield
113.Anatominamagneticfield
114.Spininavariablemagneticfield
115.Thecurrentdensityinamagneticfield
XVI.NUCLEARSTRUCTURE
116.Isotopicinvariance
117.Nuclearforces
118.Theshellmodel
119.Non-sphericalnuclei
120.Isotopicshift
121.Hyperfinestructureofatomiclevels
122.Hyperfinestructureofmolecularlevels
XVII.ELASTICCOLLISIONS
123.Thegeneraltheoryofscattering
124.Aninvestigationofthegeneralformula
125.Theunitarityconditionforscattering
126.Born'sformula
127.Thequasi-classicalcase
128.Analyticalpropertiesofthescatteringamplitude
129.Thedispersionrelation
130.Thescatteringamplitudeinthemomentumrepresentation
131.Scatteringathighenergies
132.Thescatteringofslowparticles
133.Resonancescatteringatlowenergies
134.Resonanceataquasi-discretelevel
135.Rutherford'sformula
136.Thesystemofwavefunctionsofthecontinuousspectrum
137.Collisionsoflikeparticles
138.Resonancescatteringofchargedparticles
139.Elasticcollisionsbetweenfastelectronsandatoms
140.Scatteringwithspin-orbitinteraction
141.Reggepoles
XVIII.INELASTICCOLLISIONS
142.Elasticscatteringinthepresenceofinelasticprocesses
143.Inelasticscatteringofslowparticles
144.Thescatteringmatrixinthepresenceofreactions
145.BreitandWigner'sformulae
146.Interactioninthefinalstateinreactions
147.Behaviourofcross-sectionsnearthereactionthreshold
148.Inelasticcollisionsbetweenfastelectronsandatoms
149.Theeffectiveretardation
150.Inelasticcollisionsbetweenheavyparticlesandatoms
151.Scatteringofneutrons
152.InelasticscatteringathighenergiesMATHEMATICALAPPENDICES
a.Hermitepolynomials
b.TheAiryfunction
c.Legendrepolynomials
d.Theconfluenthypergeometricfunction
e.Thehypergeometricfunction
f.Thecalculationofintegralscontainingconfluenthypergeometric
functions
Index...