| Titre : |
The Principle of Least Action : History and Physics |
| Type de document : |
texte imprimé |
| Auteurs : |
Alberto Rojo, Auteur ; Anthony Bloch, Auteur |
| Editeur : |
Cambridge : Cambridge University Press |
| Année de publication : |
2018 |
| Importance : |
XI-255 P. |
| Présentation : |
Relie, couv. ill. en coul., graph |
| Format : |
24 cm |
| ISBN/ISSN/EAN : |
978-0-521-86902-7 |
| Langues : |
Anglais (eng) |
| Catégories : |
(01.65) Histoire et philosophie des sciences
|
| Mots-clés : |
History of science |
| Index. décimale : |
01.65 |
| Résumé : |
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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The Principle of Least Action (2018)
