The Formulation of Matrix Mechanics and Its Modifications 1925-1926 (Hardcover, 1982)

I The Rediscovery of a Mathematical Tool.- I.1 Max Born's Interpretation of Heisenberg's Quantum Condition.- I.2 The Development of Matrix Calculus.- I.3 Early Applications of Matrix Methods in Physics.- I.4 Born's New Collaborator: Pascual Jordan.- II Matching the Tools and the Task.- II.1 The Programme of Matrix Mechanics.- II.2 Operations with Matrices.- II.3 Dynamical Laws and Energy Conservation.- II.4 An Example of Discrete Mechanics: The Oscillator.- II.5 Preliminary Remarks on Radiation.- III Completion of the Matrix Scheme.- III.1 The Three-Man Collaboration.- III.2 Towards a New Perturbation Theory.- III.3 Several Degrees of Freedom and Degeneracy.- III.4 Born's Idee Fixe and a Letter to Niels Bohr.- III.5 The Eigenvalue Problem and the Transformation to Principal Axes.- III.6 Continuous Spectra and the Significance of the Transformation Matrix.- IV The Success of Matrix Mechanics.- IV.1 The Treatment of Dispersion Phenomena.- IV.2 Fluctuations in Cavity Radiation.- IV.3 The Conservation of Angular Momentum.- IV.4 Wolfgang Pauli's Conversion.- IV.5 The Solution of the Hydrogen Problem.- IV.6 The Problems of Intensities and the Diatomic Molecule.- V Modifications and Extensions of Matrix Mechanics.- V.1 Nonmechanical Stress versus Spin.- V.2 Field-Like Representation of Quantum Mechanics.- V.3 The Operator Mechanics.- V.4 Multiply Periodic Systems: Action-Angle Variables and the Method of Complex Integration.- V.5 The Electron Spin, Fine Structure and Anomalous Zeeman Effects.- V.6 Key to the Helium Problem.- References.- Author Index.