量子力学
2008-1
清华大学
阿贝斯
528
《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。
Preface1 Classical Mechanics1.1 Newton's Laws, the Action, and the Hamiltonian1.1.1 Newton's Law and Lagrange's Equations1.1.2 Hamilton's Principle1.1.3 Canonical Momenta and the Hainiltonian Formulation 1.2 Classical Space-Time Symmetries1.2.1 The Space-Time Transformations1.2.2 Translations1.2.3 Rotations1.2.4 Rotation Matrices1.2.5 Symmetries and Conservation LawsProblems2 Fundamentals of Quantum Mechanics2.1 The Superposition Principle2.1.1 The Double-Slit Experiment2.1.2 The Stern-Gerlach Experiment2.2 The Mathematical Language of Quantum Mechanics2.2.1 Vector Spaces2.2.2 The Probability Interpretation2.2.3 Linear Operators2.2.4 Observables2.2.5 Examples2.3 Continuous Eigenvalues2.3.1 The Dirac Delta Function2.3.2 Continuous Observables2.3.3 Fourier's Theorem and Representations of Q(x)2.4 Canonical Commutators and the SchrSdinger Equation2.4.1 The Correspondence Principle2.4.2 The Canonical Commutation Relations2.4.3 Planck's Constant2.5 Quantum Dynamics2.5.1 The Time-Translation Operator2.5.2 The Heisenberg Picture2.6 The Uncertainty Principle2.7 Wave Functions2.7.1 Wave Functions in Coordinate Space2.7.2 Momentum and Translations2.7.3 SchrSdinger's Wave Equation2.7.4 Time-Dependent Free Particle Wave FunctionsProblems3 Stationary States3.1 Elementary Examples3.1.1 States with Definite Energy3.1.2 A Two-State System3.1.3 One-Dimensional Potential Problems3.2 The Harmonic Oscillator3.2.1 The Spectrum3.2.2 Matrix Elements3.2.3 The Ground-State Energy3.2.4 Wave Functions3.3 Spherically Symmetric Potentials and Angular Momentum3.3.1 Spherical Symmetry3.3.2 Orbital Angular Momentum as a Differential Operator3.3.3 The Angular Momentum Commutator Algebra3.3.4 Classification of the States3.4 Spherically Symmetric Potentials: Wave Functions3.4.1 Spherical Coordinates and Spherical Harmonics3.4.2 The Radial Wave Equation3.5 Hydrogenlike Atoms3.5.1 The Symmetries3.5.2 The Energy Spectrum3.5.3 The Radial Wave FunctionsProblems4 Symmetry Transformations on States4.1 Introduction4.1.1 Symmetries and Transformations4.1.2 Groups of Transformations4.1.3 Classical and Quantum Symmetries4.2 The Rotation Group and Algebra4.2.1 Representations of Groups4.2.2 Representations of the Generators of Rotations4.2.3 Generators in an Arbitrary Direction4.2.4 Commutators of the Generators4.2.5 Explicit Form of the Finite Dimensional Representations4.2.6 Summary4.3 Spin and Rotations in Quantum Mechanics4.3.1 Rotations and Spinless Particles4.3.2 Spin4.3.3 The Spin-Zero Representation4.3.4 The Spin-Half Representation4.3.5 Euler Angles4.3.6 The Spin-One Representation4.3.7 Arbitrary j4.4 Addition of Angular Momenta4.4.1 Spin and Orbital Angular Momentum4.4.2 Two Simple Examples5 Symmetry Transformations on operators6 Interlude7 Approximation methods for bound states8 Potential scattering9 Transitions10 Further topics in quantum dynamics11 The quantized electromagnetic field12 Relativistic wave equations13 Identical particlesAPPENDICESA Mathematical toolsB Rotation MatricesC SU（3）D ReferenceIndex
《量子力学》由清华大学出版社出版。
这不是给初学的学者写的教科书，起步比较高，习题要求比较高。建议先学中文的教材，再阅读本书比较好！ 是清华的考研参考书！
我有幸上过阮老师和张老师的课，用过这本题集的初始版本。一本好的量子力学参考书。