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