实用量子力学

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.Freefallofabodyoverearthssurface

41.Acceleratingelectricalfield

B.ProblemsofTwoorThreeDegreesofFreedomwithoutSphericalSymmetry

42.Circularoscillator

43.Starkeffectofatwo-dimensionalrotator

44.Ionizedhydrogenmolecule

45.Obliqueincidenceofaplanewave

46.Symmetricaltop

C.TheAngularMomentum

47.Infinitesimalrotation

……

ContentsVolumeⅡ

Ⅲ.ParticleswithSpin

Ⅳ.Many-BodyProblems

Ⅴ.Non-StationaryProblems

Ⅵ.TheRelativisticDiracEquation

Ⅶ.RadiationTheory

MathematicalAppendix

IndexforVolumesⅠandⅡ

　　本书是“国外物理名著系列”之一，全书共分7个章节，主要对实用量子力学的基础知识作了介绍。该书强调了“前沿”和“热点”，并根据国内物理学研究发展的实际情况，选择了能够体现相关学科最新进展，对有关方向的科研人员和研究生有着重要的参考价值。　　Fromthereviews:"Anyonewhohastaughtacourseofquantummechanicsknowsthedifficultyofprovidingpracticalexamples,whicharewithinthemathematicalcompetenceofthestudentsandcanbecompletedinareasonabletime.Inthisbookwillbefound219problems,togetherwiththeirsolutions,whichwillgreatlyextendtherepertoire.(...)Thefirstvolumedealsexclusivelywithone-bodyproblemswithoutspin.(...)Inthesecondvolumetheproblemscoverawiderrangeandincludeillustrationsoftheintroductionofspin,theinteractionsbetweentwoandthreeparticles,quantumstatisticsandtheDiracrelativisticequationwithshortersectionsonnon-stationaryproblemsandradiationtheory.(...)"(Nature,Sept.10.1971)"Thestudentwhocanmastertheseproblemswillhaveagoodgraspofthepracticalapplicationsofquanturntheoryand,therefore,ofthebasicconceptsaswell.Irecommendthebookun-reservedlv."