From Classical to Quantum Mechanics: An Introduction to the Formalism, Foundations and Applications

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Giampiero Esposito (INFN, Università di Napoli Federico II) Giuseppe Marmo (INFN, Università di Napoli Federico II)

From Classical to Quantum Mechanics

An Introduction to the Formalism, Foundations and Applications

Giampiero Esposito (INFN, Università di Napoli Federico II), Giuseppe Marmo (INFN, Università di Napoli Federico II), George Sudarshan (University of Texas, Austin)

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English

Cambridge University Press
26 May 2004

Mathematics & Sciences; Classical mechanics; Quantum physics (quantum mechanics & quantum field theory)

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.

By: Giampiero Esposito (INFN Università di Napoli Federico II), Giuseppe Marmo (INFN, Università di Napoli Federico II), George Sudarshan (University of Texas, Austin)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 244mm, Width: 170mm, Spine: 33mm
Weight: 1.160kg
ISBN: 9780521833240
ISBN 10: 0521833248
Pages: 610
Publication Date: 26 May 2004
Audience: Professional and scholarly , College/higher education , Undergraduate , Primary
Format: Hardback
Publisher's Status: Active

Preface; Acknowledgements; Part I. From Classical to Wave Mechanics: 1. Experimental foundations of quantum theory; 2. Classical dynamics; 3. Wave equations; 4. Wave mechanics; 5. Applications of wave mechanics; 6. Introduction to spin; 7. Perturbation theory; 8. Scattering theory; Part II. Weyl Quantization and Algebraic Methods: 9. Weyl quantization; 10. Harmonic oscillators and quantum optics; 11. Angular momentum operators; 12. Algebraic methods for eigenvalue problems; 13. From density matrix to geometric phases; Part III. Selected Topics: 14. From classical to quantum statistical mechanics; 15. Lagrangian and phase-space formulations; 16. Dirac equation and no-interaction theorem; References; Index.

Reviews for From Classical to Quantum Mechanics: An Introduction to the Formalism, Foundations and Applications

'I consider this book to be a valuable and modern contribution which addresses a wide readership. It contains a plenitude of material that can be used by lecturers as well as by students who want to learn interesting topics from a non-standard exposition.' Contemporary Physics