简明量子力学

简明量子力学
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作者: [美] (Gerald D. Mahan)
2013-01
版次: 1
ISBN: 9787510050671
定价: 89.00
装帧: 平装
开本: 16开
纸张: 胶版纸
页数: 399页
正文语种: 简体中文
分类: 自然科学
26人买过
  •   Thismanuscriptisatextbookforagraduatecourseinquantummechanics.Ihavetaughtthiscourse15-20timesandgraduallydevelopedthesenotes.Orginally,IusedasatextQuantumMechanicsbyA.S.Davydov.Whenthatfinebookwentoutofprint,Iwrotethesenotesfollowingasimilarsyllabus.Itcontainsmuchnewmaterialnotfoundinoldertexts.
      Thebeginningchaptersfollowatraditionalsyllabus.TopicsincludesolvingSchrodingersequationinone,two,andthreedimensions.Approximatetechniquesareintroducedsuchas(1)variational,(2)WKBJ,and(3)perturbationtheory.Manyexamplesaretakenfromthequantummechanicsofatomsandsmallmolecules.Solid-stateex-amplesincludeexchangeenergy,Landaulevels,andthequantumHalleffect.laterchaptersdiscussscatteringtheoryandrelativisticquantummechanics.Thechapteronopticalpropertiesincludesbothlinearandnonlinearopticalphenomena.Eachchapterconcludeswithnumeroushomeworkproblems.
      Preliminaryversionsoftheselectureshavebeenhandedtoseveralgenerationsofgraduatestudents.Theirfeedbackhasbeeninvaluableinhoningthematerial. Preface
    1Introduction
    1.1Introduction
    1.2Schrodinger'sEquation
    1.3Eigenfunctions
    1.4Measurement
    1.5Representations
    1.5.1SchrodingerRepresentation
    1.5.2HeisenbergRepresentation
    1.6NoncommutingOperators

    2OneDimension
    2.1SquareWell
    2.2LinearPotentials
    2.3HarmonicOsallator
    2.4RaisingandLoweringOperators
    2.5ExponentialPotential
    2.5.1Boun,dState
    2.5.2Contin,uumState
    2.6Delta-FunctionPotential
    2.7NumberofSolutions
    2.8Normalization
    2.8.1Boun,dStates
    2.8.2BoxNormalization
    2.8.3Delta-FunctionNormalization
    2.8.4TheLimitofInfiniteVolume
    2.9WavePackets

    3ApproximateMethods
    3.1WKBJ
    3.2BoundStatesbyWKBJ
    3.2.1HarmonicOscillator
    3.2.2MorsePotential
    3.2.3SymmetricRamp
    3.2.4DiscontinuousPotentials
    3.3ElectronTunneling
    3.4VariationalTheory
    3.4.1Half-SpacePotential
    3.4.2HarmonicOscillatorinOneDimension

    4SpinandAngularMomentum
    4.1Operators,Eigenvalues,andEigenfunctic
    4.1.1CommutationRelations
    4.1.2RaisingandLoweringOperators
    4.1.3Eigenfun,aionsan,dEigenvalues
    4.2Representations
    4.3RigidRotations
    4.4TheAdditionofAngularMomentum

    5TwoandThreeDimensions
    5.1PlaneWavesinThreeDimensions
    5.2PlaneWavesinTwoDimensions
    5.3CentralPotentials
    5.3.1CentralPotentialsin3D
    5.3.2CentralPotentialin2D
    5.4CoulombPotentials
    5.4.1BoundStates
    5.4.2ConfluentHypergeometricFunctions
    5.4.3HydrogenEigenfunaions
    5.4.4ContinuumStates
    5.5WKBJ
    5.5.1ThreeDimensions
    5.5.23DHvdrogenAtom
    5.5.3TwoDimensions
    ……
    6MatrixMethodsandPerturbationTheory
    7Time-DependentPerturbations
    8ElectromagneticRadiation
    9Many-ParticleSystems
    10ScatteringTheory
    11RelativisticQuantumMechanics
    Index
  • 内容简介:
      Thismanuscriptisatextbookforagraduatecourseinquantummechanics.Ihavetaughtthiscourse15-20timesandgraduallydevelopedthesenotes.Orginally,IusedasatextQuantumMechanicsbyA.S.Davydov.Whenthatfinebookwentoutofprint,Iwrotethesenotesfollowingasimilarsyllabus.Itcontainsmuchnewmaterialnotfoundinoldertexts.
      Thebeginningchaptersfollowatraditionalsyllabus.TopicsincludesolvingSchrodingersequationinone,two,andthreedimensions.Approximatetechniquesareintroducedsuchas(1)variational,(2)WKBJ,and(3)perturbationtheory.Manyexamplesaretakenfromthequantummechanicsofatomsandsmallmolecules.Solid-stateex-amplesincludeexchangeenergy,Landaulevels,andthequantumHalleffect.laterchaptersdiscussscatteringtheoryandrelativisticquantummechanics.Thechapteronopticalpropertiesincludesbothlinearandnonlinearopticalphenomena.Eachchapterconcludeswithnumeroushomeworkproblems.
      Preliminaryversionsoftheselectureshavebeenhandedtoseveralgenerationsofgraduatestudents.Theirfeedbackhasbeeninvaluableinhoningthematerial.
  • 目录:
    Preface
    1Introduction
    1.1Introduction
    1.2Schrodinger'sEquation
    1.3Eigenfunctions
    1.4Measurement
    1.5Representations
    1.5.1SchrodingerRepresentation
    1.5.2HeisenbergRepresentation
    1.6NoncommutingOperators

    2OneDimension
    2.1SquareWell
    2.2LinearPotentials
    2.3HarmonicOsallator
    2.4RaisingandLoweringOperators
    2.5ExponentialPotential
    2.5.1Boun,dState
    2.5.2Contin,uumState
    2.6Delta-FunctionPotential
    2.7NumberofSolutions
    2.8Normalization
    2.8.1Boun,dStates
    2.8.2BoxNormalization
    2.8.3Delta-FunctionNormalization
    2.8.4TheLimitofInfiniteVolume
    2.9WavePackets

    3ApproximateMethods
    3.1WKBJ
    3.2BoundStatesbyWKBJ
    3.2.1HarmonicOscillator
    3.2.2MorsePotential
    3.2.3SymmetricRamp
    3.2.4DiscontinuousPotentials
    3.3ElectronTunneling
    3.4VariationalTheory
    3.4.1Half-SpacePotential
    3.4.2HarmonicOscillatorinOneDimension

    4SpinandAngularMomentum
    4.1Operators,Eigenvalues,andEigenfunctic
    4.1.1CommutationRelations
    4.1.2RaisingandLoweringOperators
    4.1.3Eigenfun,aionsan,dEigenvalues
    4.2Representations
    4.3RigidRotations
    4.4TheAdditionofAngularMomentum

    5TwoandThreeDimensions
    5.1PlaneWavesinThreeDimensions
    5.2PlaneWavesinTwoDimensions
    5.3CentralPotentials
    5.3.1CentralPotentialsin3D
    5.3.2CentralPotentialin2D
    5.4CoulombPotentials
    5.4.1BoundStates
    5.4.2ConfluentHypergeometricFunctions
    5.4.3HydrogenEigenfunaions
    5.4.4ContinuumStates
    5.5WKBJ
    5.5.1ThreeDimensions
    5.5.23DHvdrogenAtom
    5.5.3TwoDimensions
    ……
    6MatrixMethodsandPerturbationTheory
    7Time-DependentPerturbations
    8ElectromagneticRadiation
    9Many-ParticleSystems
    10ScatteringTheory
    11RelativisticQuantumMechanics
    Index
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