Mathematical Foundations of Quantum Mechanics Book

	Editor's Foreword	v
	Preface	vii
Chapter 1.	Classical Mechanics	1
1-1	Preliminaries	1
1-2	The Laws of Particle Mechanics	3
1-3	Generalized Coordinates and Differentiable Manifolds	10
1-4	Oscillations, Waves, and Hilbert Space	29
1-5	Statistical Mechanics	47
Chapter 2.	Quantum Mechanics	56
2-1	The Old Quantum Theory	56
2-2	The Quantum-Mechanical Substitute for Phase Space	61
2-3	Quantum Dynamics and the Schrodinger Equation	81
2-4	The Canonical "Quantization" of a Classical System	85
2-5	Some Elementary Examples and the Original Discoveries of Schrodinger and Heisenberg	96
2-6	Generalized Coordinates	100
2-7	Linear Systems and the Quantization of the Electromagnetic Field	104
2-8	Quantum-Statistical Mechanics	112
Chapter 3.	Group Theory and the Quantum Mechanics of the Atom	115
3-1	Preliminaries	115
3-2	Basic Notions in the Theory of Group Representations	115
3-3	Perturbations and the Group Theoretical Classification of Eigenvalues	120
3-4	Spherical Symmetry and Spin	123
3-5	The n-Electron Atom and the Pauli Exclusion Principle	130
	Appendix	135