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From Classical to Quantum Mechanics

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

  • Date Published: May 2004
  • availability: Available
  • format: Hardback
  • isbn: 9780521833240

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About the Authors
  • 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.

    • Suitable for advanced undergraduate and beginning graduate courses
    • Presents a broad perspective of classical and modern topics
    • Covers the formalism, foundations and applications of quantum mechanics
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    Reviews & endorsements

    Review of the hardback: '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

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    Product details

    • Date Published: May 2004
    • format: Hardback
    • isbn: 9780521833240
    • length: 610 pages
    • dimensions: 244 x 170 x 33 mm
    • weight: 1.16kg
    • availability: Available
  • Table of Contents

    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.

  • Authors

    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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