ENGLISH

The principle of least action. History and physics

By Bloch , Anthony; Rojo , Alberto G

Book information

Publisher
Cambridge University Press
Year
2018
ISBN
978-0-521-86902-7, 0521869021, 9781139021029
Language
english
Format
PDF
Filesize
2 MB (2462828 bytes)
Edition
1
Pages
255\268
Library
kolxo3
Time added
2019-04-25 18:00:00

Description

Content: 1. Introduction 2. Prehistory of variational principles 3. An excursio to Newton's Principia 4. The optical-mechanical analogy, part I 5. D'Alembert, Lagrange, and the statics-dynamics analogy 6. The optical mechanical analogy, part II: the Hamilton-Jacobi equation 7. Relativity and least action 8. The road to quantum mechanics Appendix A. Newton's solid of least resistance using calculus Appendix B. Original statement of D'Alembert's principle Appendix C. Equations of motion of MacCullagh's ether Appendix D. Characteristic function for a parabolic Keplerian orbit Appendix E. Saddle paths for reections on a mirror Appendix F. Kinetic caustics from quantum motion in one dimension Appendix G. Einstein's proof of the covariance of Maxwell's equations Appendix H. Relativistic four vector potential Appendix I. Ehrenfest's proof of the adiabatic theorem References Index.

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