量子力學(xué)

內(nèi)容概要

　　《量子力學(xué)》具有起點(diǎn)較高，內(nèi)容豐富，分析深刻等特點(diǎn)。強(qiáng)調(diào)對(duì)稱性在量子力學(xué)中的重要性，特別是仔細(xì)分析了轉(zhuǎn)動(dòng)對(duì)稱性與一般角動(dòng)量的深刻聯(lián)系；詳細(xì)討論了作為前沿科學(xué)研究基礎(chǔ)的路徑積分和電磁場(chǎng)量子化等。書中數(shù)學(xué)推導(dǎo)比較詳細(xì)，便于讀者自己驗(yàn)證推算量子力學(xué)基本內(nèi)容。

書籍目錄

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

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《量子力學(xué)》由清華大學(xué)出版社出版。

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