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Tables of Contents for The Formulation of Matrix Mechanics and Its Modifications 1925-1926
Chapter/Section Title
Page #
Page Count
Foreword
vii
 
Introduction
3
2
The Rediscovery of a Mathematical Tool
5
56
Max Born's Interpretation of Heisenberg's Quantum Condition
5
8
The Development of Matrix Calculus
13
21
Early Applications of Matrix Methods in Physics
34
10
Born's New Collaborator: Pascual Jordan
44
17
Matching the Tools and the Task
61
30
The Programme of Matrix Mechanics
62
3
Operations with Matrices
65
7
Dynamical Laws and Energy Conservation
72
8
An Example of Discrete Mechanics: The Oscillator
80
7
Preliminary Remarks on Radiation
87
4
Completion of the Matrix Scheme
91
48
The Three-Man Collaboration
92
11
Towards a New Perturbation Theory
103
6
Several Degrees of Freedom and Degeneracy
109
9
Born's Idee Fixe and a Letter to Niels Bohr
118
3
The Eigenvalue Problem and the Transformation to Principal Axes
121
8
Continuous Spectra and the Significance of the Transformation Matrix
129
10
The Success of Matrix Mechanics
139
56
The Treatment of Dispersion Phenomena
140
9
Fluctuations in Cavity Radiation
149
8
The Conservation of Angular Momentum
157
9
Wolfgang Pauli's Conversion
166
8
The Solution of the Hydrogen Problem
174
11
The Problems of Intensities and the Diatomic Molecule
185
10
Modifications and Extensions of Matrix Mechanics
195
108
Nonmechanical Stress versus Spin
196
8
Field-Like Representation of Quantum Mechanics
204
16
The Operator Mechanics
220
27
Multiply Periodic Systems: Action-Angle Variables and the Method of Complex Integration
247
19
The Electron Spin, Fine Structure and Anomalous Zeeman Effects
266
16
Key to the Helium Problem
282
21
References
303
28
Author Index
331