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Variational Principles in Dynamics and Quantum Theory

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Author(s): Wolfgang Yourgrau, Stanley Mandelstam
Edition: 2
Publisher: Pitman
Year: 1960

Language: English

Title page
Preface to the Second Edition
Preface to the First Edition
1. Prolegomena
2. Fermat's Principle of Least Time
3. The Principle of Least Action of Maupertuis
4. The Development of this Principle by Euler and Lagrange
5. The Equations of Lagrange and Hamilton
6. Hamilton's Principle and the Hamilton-Jacobi Equation
7. Contact Transformations and Hamilton's Canonical Equations
8. Electrodynamics in Hamiltonian Form
9. Résumé of Variational Principles in Olassical Mechanics
10. Relation between Variational Principles and the Older Form of Quantum Theory
11. Variational Principles and Wave Mechanics
12. The Principles of Feynman and Schwinger in Quantum Mechanics
13. The Significance of Variational Principles in Natural Philosophy
REFERENCES
GENERAL REFERENOES
APPENDIX 1. Proof of the Euler-Lagrange Conditions for an Integral to be Stationary
APPENDIX 2. Variational Principles and Chemical Reactions
Index