Variational Principles in Dynamics and Quantum Theory
by Yourgrau, Wolfgang; Mandelstam, StanleyEdition: 3rd
Format: Paperback
Pub. Date: 2011-02-17
Publisher(s): Dover Publications
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Summary
Appropriate for advanced undergraduates and graduate students, this historical and theoretical survey focuses on applications relevant to modern physics, offering valuable insights into the development of quantum mechanics. 1968 edition.
Table of Contents
Preface to the Third Edition
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 Classical 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 Variational Principles in Hydrodynamics
14 The Significance of Variational Principles in Natural Philosophy
REFERENCES
GENERAL REFERENCES
APPENDIX 1. Proof of the Euler-Lagrange Conditions for an Integral to be Stationary
APPENDIX 2. Variational Principles and Chemical Reactions
Index
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 Classical 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 Variational Principles in Hydrodynamics
14 The Significance of Variational Principles in Natural Philosophy
REFERENCES
GENERAL REFERENCES
APPENDIX 1. Proof of the Euler-Lagrange Conditions for an Integral to be Stationary
APPENDIX 2. Variational Principles and Chemical Reactions
Index
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