1. The Quantization of Physical Quantities 1.1 Light Quanta 1.2 The Photelectric Effect 1.3 The Compton Effect 1.4 The Ritz Combination Principle 1.5 The Franck-Hertz Experiment 1.6 The Stern-Gerlach Experiment 1.7 Biographical Notes 2. The Radication Laws 2.1 A Preview of the Radiation of Bodies 2.2 What is Cavity Radiation? 2.3 The Rayleigh-Jeans Radiation Law:The Electromagnetic Eigenmodes of a Caity 2.4 Planck's Radiation Law 2.5 Biographical Notes 3. Wave Aspects of Matter 3.1 De Broglie Waves 3.2 The Diffraction of Matter Waves 3.3 The Statistical Interpretation of Matter Waves 3.4 Mean(Expectation)Values in Quantum Mechanics 3.5 Three Quantum Mechanical Operators 3.6 The Superposition Principle in Quantum Mechanics 3.7 The Heisengerg Uncertainty Principle 3.8 Biographical Notes 4. Mathematical Foundations of Quantum MechanicsⅠ 4.1 Properties of Operators 4.2 Combinging Two Operators 4.3 Bra and Ket Notation 4.4 Eigenvalues and Eigenfunctions 4.5 Measurabilit of Different Observbles at Equal Times 4.6 Position and Momentum Operators 4.7 Heisenberg's Uncertaninty Relations for Arbitrary Observables 4.8 Angular-Momentum Operators 4.9 Kinetic Energy …… 5. Mathematical Supplement 6. The Schrodinger Equation 7. The Harmonic Oscillator 8. The Transition from Classical to Quantum Mechanics 9. Charged Particles in Magnetic Fields 10. The Mathematiical Foundations of Quantum MechanicsⅡ 11. Perturbation Theory 12. Spin 13. A Nonrelativistic Wave Equation with Spin 14. Elementary Aspects 15. Identical Particles 16. The Formal Framework of Quntum Mechanics 17. Conceptual and Philosophical Problems of Quantum Mechanics Subject Index