From classical to quantum mechanics

Giampiero Esposito, Giuseppe Marmo, George Sudarshan

608 pages, parution le 16/03/2004

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Résumé

This textbook provides a pedagogical introduction to the formalism, foundations and applications of quantum mechanics. Part I covers the basic material which is necessary to understand the transition from classical to wave mechanics. Topics include classical dynamics, with emphasis on canonical transformations and the Hamilton-Jacobi equation, the Cauchy problem for the wave equation, Helmholtz equation and eikonal approximation, introduction to spin, perturbation theory and scattering theory. The Weyl quantisation is presented in Part II, along with the postulates of quantum mechanics. Part III is devoted to topics such as statistical mechanics and black-body radiation, Lagrangian and phase-space formulations of quantum mechanics, and the Dirac equation. This book is intended for use as a textbook for beginning graduate and advanced undergraduate courses. It is self-contained and includes problems to aid the reader's understanding.

Sommaire

Preface
Acknowledgements
From Classical to Wave Mechanics
- Experimental foundations of quantum theory
- Classical dynamics
- Wave equations
- Wave mechanics
- Applications of wave mechanics
- Introduction to spin
- Perturbation theory
- Scattering theory
Weyl Quantization and Algebraic Methods
- Weyl quantization
- Harmonic oscillators and quantum optics
- Angular momentum operators
- Algebraic methods for eigenvalue problems
- From density matrix to geometric phases
Selected Topics
- From classical to quantum statistical mechanics
- Lagrangian and phase-space formulations
- Dirac equation and no-interaction theorem

References
Index.

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	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Giampiero Esposito, Giuseppe Marmo, George Sudarshan
Parution	16/03/2004
Nb. de pages	608
Format	17,5 x 25,5
Couverture	Relié
Poids	1461g
Intérieur	Noir et Blanc
EAN13	9780521833240
ISBN13	978-0-521-83324-0