内容简介
本书具有起点较高，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
1 Classical Mechanics
1.1 Newton's Laws, the Action, and the Hamiltonian
1.1.1 Newton's Law and Lagrange's Equations
1.1.2 Hamilton's Principle
1.1.3 Canonical Momenta and the Hainiltonian Formulation .
1.2 Classical Space-Time Symmetries
1.2.1 The Space-Time Transformations
1.2.2 Translations
1.2.3 Rotations
1.2.4 Rotation Matrices
1.2.5 Symmetries and Conservation Laws
Problems
2 Fundamentals of Quantum Mechanics
2.1 The Superposition Principle
2.1.1 The Double-Slit Experiment
2.1.2 The Stern-Gerlach Experiment
2.2 The Mathematical Language of Quantum Mechanics
2.2.1 Vector Spaces
2.2.2 The Probability Interpretation
2.2.3 Linear Operators
2.2.4 Observables
2.2.5 Examples
2.3 Continuous Eigenvalues
2.3.1 The Dirac Delta Function
2.3.2 Continuous Observables
2.3.3 Fourier's Theorem and Represe..
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