The Principle of Least Action: History and Physics
Autor Alberto Rojo, Anthony Blochen Limba Engleză Hardback – 28 mar 2018
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Specificații
ISBN-13: 9780521869027
ISBN-10: 0521869021
Pagini: 266
Ilustrații: 96 b/w illus. 1 table
Dimensiuni: 179 x 254 x 16 mm
Greutate: 0.67 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Locul publicării:Cambridge, United Kingdom
ISBN-10: 0521869021
Pagini: 266
Ilustrații: 96 b/w illus. 1 table
Dimensiuni: 179 x 254 x 16 mm
Greutate: 0.67 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Locul publicării:Cambridge, United Kingdom
Cuprins
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.
Recenzii
'I recommend this exciting book to readers interested in how a small number of principles can explain modern physical theory. A major part of this excellent physical, mathematical, and historical study of the principle of least action is the exposition of the optical-mechanical analogy that led to the invention of Schrӧdinger's wave mechanics in 1926 … Containing the mathematical steps of numerous detailed derivations with clearly designed figures to aid the reader, the text is physically and mathematically rigorous and serves as a guide to the next step: the reading of the original papers cited in the references.' Barry R. Masters, Optics & Photonics News
Notă biografică
Descriere
This text brings history and the key fields of physics together to present a unique technical discussion of the principles of least action.