Mathematical foundations of quantum mechanics: A lecture-note volume

✍ Scribed by Mackey G.W.

• Publisher: W.A. Benjamin
• Year: 1963
• Tongue: English
• Leaves: 148
• Series: Dover Books on Mathematics
• Category: Library

✦ Synopsis

Designed for students familiar with abstract mathematics but not physics, this graduate-level text was written by a member of the National Academy of Science. It introduces fundamentals of classical mechanics; surveys basics of quantum mechanics; and concludes with a look at group theory and quantum mechanics of the atom. 1963 edition.

✦ Table of Contents

Title ......Page 2
Copyright ......Page 3
Editor's Foreword ......Page 4
Preface ......Page 6
Contents ......Page 8
1.1 Preliminaries ......Page 12
1.2 The Laws of Particle Mechanics ......Page 14
1.3 Generalized Coordinates and Differentiable Manifolds ......Page 21
1.4 Oscillations, Waves, and Hilbert Space ......Page 40
1.5 Statistical Mechanics ......Page 58
2.1 The Old Quantum Theory ......Page 67
2.2 The Quantum-Mechanical Substitute for Phase Space ......Page 72
2.3 Quantum Dynamics and the Schrodinger Equation ......Page 92
2.4 The Canonical "Quantization" of a Classical System ......Page 96
2.5 Some Elementary Examples and the Original Discoveries of Schrodinger and Heisenberg ......Page 107
2.6 Generalized Coordinates ......Page 111
2.7 Linear Systems and the Quantization of the Electromagnetic Field ......Page 115
2.8 Quantum-Statistical Mechanics ......Page 123
3.2 Basic Notions in the Theory of Group Representations ......Page 126
3.3 Perturbations and the Group Theoretical Classification of Eigenvalues ......Page 131
3.4 Spherical Symmetry and Spin ......Page 134
3.5 The n-Electron Atom and the Pauli Exclusion Principle ......Page 141
Appendix ......Page 146