量子力学

图书标准信息

• 作者 阿贝斯 著
• 出版社 清华大学出版社
• 出版时间 2008-01
• 版次 1
• ISBN 9787302165712
• 定价 44.00元
• 装帧 平装
• 开本 16开
• 纸张 胶版纸
• 页数 528页
• 正文语种 简体中文
• 丛书 国际著名物理图书·影印版系列

【内容简介】

　　《量子力学》具有起点较高，内容丰富，分析深刻等特点。强调对称性在量子力学中的重要性，特别是仔细分析了转动对称性与一般角动量的深刻联系；详细讨论了作为前沿科学研究基础的路径积分和电磁场量子化等。书中数学推导比较详细，便于读者自己验证推算量子力学基本内容。

【目录】

Preface
1ClassicalMechanics
1.1NewtonsLaws,theAction,andtheHamiltonian
1.1.1NewtonsLawandLagrangesEquations
1.1.2HamiltonsPrinciple
1.1.3CanonicalMomentaandtheHainiltonianFormulation.
1.2ClassicalSpace-TimeSymmetries
1.2.1TheSpace-TimeTransformations
1.2.2Translations
1.2.3Rotations
1.2.4RotationMatrices
1.2.5SymmetriesandConservationLaws
Problems
2FundamentalsofQuantumMechanics
2.1TheSuperpositionPrinciple
2.1.1TheDouble-SlitExperiment
2.1.2TheStern-GerlachExperiment
2.2TheMathematicalLanguageofQuantumMechanics
2.2.1VectorSpaces
2.2.2TheProbabilityInterpretation
2.2.3LinearOperators
2.2.4Observables
2.2.5Examples
2.3ContinuousEigenvalues
2.3.1TheDiracDeltaFunction
2.3.2ContinuousObservables
2.3.3FouriersTheoremandRepresentationsofQ(x)
2.4CanonicalCommutatorsandtheSchrSdingerEquation
2.4.1TheCorrespondencePrinciple
2.4.2TheCanonicalCommutationRelations
2.4.3PlancksConstant
2.5QuantumDynamics
2.5.1TheTime-TranslationOperator
2.5.2TheHeisenbergPicture
2.6TheUncertaintyPrinciple
2.7WaveFunctions
2.7.1WaveFunctionsinCoordinateSpace
2.7.2MomentumandTranslations
2.7.3SchrSdingersWaveEquation
2.7.4Time-DependentFreeParticleWaveFunctions
Problems
3StationaryStates
3.1ElementaryExamples
3.1.1StateswithDefiniteEnergy
3.1.2ATwo-StateSystem
3.1.3One-DimensionalPotentialProblems
3.2TheHarmonicOscillator
3.2.1TheSpectrum
3.2.2MatrixElements
3.2.3TheGround-StateEnergy
3.2.4WaveFunctions
3.3SphericallySymmetricPotentialsandAngularMomentum
3.3.1SphericalSymmetry
3.3.2OrbitalAngularMomentumasaDifferentialOperator
3.3.3TheAngularMomentumCommutatorAlgebra
3.3.4ClassificationoftheStates
3.4SphericallySymmetricPotentials:WaveFunctions
3.4.1SphericalCoordinatesandSphericalHarmonics
3.4.2TheRadialWaveEquation
3.5HydrogenlikeAtoms
3.5.1TheSymmetries
3.5.2TheEnergySpectrum
3.5.3TheRadialWaveFunctions
Problems
4　SymmetryTransformationsonStates
4.1Introduction
4.1.1SymmetriesandTransformations
4.1.2GroupsofTransformations
4.1.3ClassicalandQuantumSymmetries
4.2TheRotationGroupandAlgebra
4.2.1RepresentationsofGroups
4.2.2RepresentationsoftheGeneratorsofRotations
4.2.3GeneratorsinanArbitraryDirection
4.2.4CommutatorsoftheGenerators
4.2.5ExplicitFormoftheFiniteDimensionalRepresentations
4.2.6Summary
4.3SpinandRotationsinQuantumMechanics
4.3.1RotationsandSpinlessParticles
4.3.2Spin
4.3.3TheSpin-ZeroRepresentation
4.3.4TheSpin-HalfRepresentation
4.3.5EulerAngles
4.3.6TheSpin-OneRepresentation
4.3.7Arbitraryj
4.4AdditionofAngularMomenta
4.4.1SpinandOrbitalAngularMomentum
4.4.2TwoSimpleExamples
……
5　SymmetryTransformationsonoperators
6Interlude
7Approximationmethodsforboundstates
8Potentialscattering
9Transitions
10Furthertopicsinquantumdynamics
11Thequantizedelectromagneticfield
12Relativisticwaveequations
13Identicalparticles
APPENDICES
AMathematicaltools
BRotationMatrices
CSU（3）
DReference
Index