Quantum Mechanics in a Nutshell_Mahan

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1、QuantumMechanicsinaNutshellThispageintentionallyleftblankQuantumMechanicsinaNutshellGeraldD.MahanprincetonuniversitypressprincetonandoxfordCopyrightÓ2009byPrincetonUniversityPressPublishedbyPrincetonUniversityPress,41WilliamStreet,Princeton,NewJersey08

2、540IntheUnitedKingdom:PrincetonUniversityPress,6OxfordStreet,Woodstock,OxfordshireOX201TWAllRightsReservedLibraryofCongressCataloging-in-PublicationDataMahan,GeraldD.Quantummechanicsinanutshell/GeraldD.Mahan.p.cm.(Inanutshell)Includesbibliographicalrefe

3、rencesandindex.ISBN978-0-691-13713-1(cloth:alk.paper)1.PhotonsScattering.2.Photonemission.3.Scattering(Physics)4.Quantumtheory.I.Title.QC793.5.P428M342009530.12dc222008017144BritishLibraryCataloging-in-PublicationDataisavailableThisbookhasbeencomposedin

4、ScalaPrintedonacid-freepaper.?press.princeton.eduPrintedintheUnitedStatesofAmerica10987654321ContentsPrefacexi1Introduction11.1Introduction11.2Schro¨dingersEquation21.3Eigenfunctions41.4Measurement81.5Representations81.5.1Schro¨dingerRepresentation91.5.

5、2HeisenbergRepresentation101.6NoncommutingOperators112OneDimension142.1SquareWell142.2LinearPotentials262.3HarmonicOscillator292.4RaisingandLoweringOperators342.5ExponentialPotential392.5.1BoundState402.5.2ContinuumState422.6Delta-FunctionPotential452.7

6、NumberofSolutions482.8Normalization49vi

7、Contents2.8.1BoundStates492.8.2BoxNormalization502.8.3Delta-FunctionNormalization512.8.4TheLimitofInfiniteVolume542.9WavePackets563ApproximateMethods623.1WKBJ623.2BoundStatesbyWKBJ683.2.1HarmonicOscillator713.2.2Mo

8、rsePotential713.2.3SymmetricRamp733.2.4DiscontinuousPotentials743.3ElectronTunneling763.4VariationalTheory773.4.1Half-SpacePotential803.4.2HarmonicOscillatorinOneDimension824SpinandAngularMomentum874.1Operators,Eigenvalues,andEigenfunctions874.1.1Commut

9、ationRelations884.1.2RaisingandLoweringOperators894.1.3EigenfunctionsandEigenvalues904.2Representations954.3RigidRotations1004.4TheAdditionofAngularMomentum1025TwoandThreeDimensions1085.1PlaneWavesinThreeDimensions1085.2PlaneWave