Variational principles in dynamics and quantum theory | WorldCat.org (original) (raw)
Prolegomena
Fermat's principle of least time
The principle of least action of Maupertuis
The development of this principle by Euler and Lagrange
The equations of Lagrange and Hamilton
Hamilton's principle and the Hamilton-Jacobi equation
Contact transformations and Hamilton's canonical equations
Electrodynamics in Hamiltonian form
Résumé of variational principles in classical mechanics
Relation between variational principles and the older form of quantum theory
Variational principles and wave mechanics
The principles of Feynman and Schwinger in quantum mechanics
Variational principles in hydrodynamics
The significance of variational principles in natural philosophy
Appendix 1. Proof of the Euler-Lagrange conditions for an integral to be stationary
Appendix 2. Variational principles and chemical reactions