ContentsVolumeⅠ
Ⅰ.GeneralConcepts
1.Lawofprobabilityconservation
2.VariationalprincipleofSchrodinger
3.Classicalmechanicsforspaceaverages
4.Classicallawsforangularmotion
5.Energyconservationlaw
6.Hermitianconjugate
7.Constructionofanhermitianoperator
8.Derivativesofanoperator
9.Timerateofanexpectationvalue
10.SchrodingerandHeisenbergrepresentations
11.Timedependenthamiltonian
12.Repeatedmeasurement
13.Curvilinearcoordinates
14.Momentumspacewavefunctions
15.Momentumspace:Periodicandaperiodicwavefunctions
Ⅱ.One-BodyProblemswithoutSpin
A.One-DimensionalProblems
16.Force-freecase:Basicsolutions
17.Force-freecase:Wavepacket
18.Standingwave
19.Opaquedivisionwall
20.OpaquewalldescribedbyDiracσfunction
21.ScatteringataDiracσfunctionwall
22.Scatteringatasymmetricpotentialbarrier
23.Reflectionatarectangularbarrier
24.Inversionofreflection
25.Rectangularpotentialhole
26.Rectangularpotentialholebetweentwowalls
27.Virtuallevels
28.Periodicpotential
29.Diraccomb
30.Harmonicoscillator
31.OscillatorinHilbertspace
32.OscillatoreigenfunctionsconstructedbyHilbertspaceoperators
33.Harmonicoscillatorinmatrixnotation
34.Momentumspacewavefunctionsofoscillator
35.Anharmonicoscillator
36.Approximatewavefunctions
37.Potentialstep
38.Poschl-Tellerpotentialhole
39.PotentialholeofmodifiedPoschl-Tellertype
40.Freefallofabodyoverearth'ssurface
41.Acceleratingelectricalfield
B.ProblemsofTwoorThreeDegreesofFreedomwithoutSphericalSymmetry
42.Circularoscillator
43.Starkeffectofatwo-dimensionalrotator
44.Ionizedhydrogenmolecule
45.Obliqueincidenceofaplanewave
46.Symmetricaltop
C.TheAngularMomentum
47.Infinitesimalrotation
48.Componentsinpolarcoordinates
49.AngularmomentumandLaplacian
50.Hilbertspacetransfc.rmations
51.CommutatorsinSchr6dingerrepresentation
52.Particlesofspinl
53.Commutationwithatensor
54.Quadrupoletensor.Sphericalharmonics
55.Transfc.rmationofsphericalharmonics
56.ConstructionofHilbertspaceforanan~ularmomentumcomponent
57.Orthogonalityofsphericalharmonics
D.PotentialsofSphericalSymmetry
a)BoundStates
58.Angularmomentumexpectationvalues
……
ContentsVolumeⅡ
Ⅲ.ParticleswithSpin
Ⅳ.Many-BodyProblems
Ⅴ.Non-StationaryProblems
Ⅵ.TheRelativisticDiracEquation
Ⅶ.RadiationTheory
MathematicalAppendix
IndexforVolumesⅠandⅡ