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From Classical to Quantum Mechanics

Giampiero Esposito, Giuseppe Marmo, George Sudarshan · ISBN 9780521833240
From Classical to Quantum Mechanics | Zookal Textbooks | Zookal Textbooks
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Publisher Cambridge University Press
Author(s) Giampiero Esposito / Giuseppe Marmo / George Sudarshan
Subtitle An Introduction to the Formalism, Foundations and Applications
Published 11th March 2004
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An Introduction to the Formalism, Foundations and Applications

This 2004 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 quantization 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.
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