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Advanced Concepts in Quantum Mechanics

  • Date Published: November 2014
  • availability: In stock
  • format: Hardback
  • isbn: 9781107076044

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About the Authors
  • Introducing a geometric view of fundamental physics, starting from quantum mechanics and its experimental foundations, this book is ideal for advanced undergraduate and graduate students in quantum mechanics and mathematical physics. Focusing on structural issues and geometric ideas, this book guides readers from the concepts of classical mechanics to those of quantum mechanics. The book features an original presentation of classical mechanics, with the choice of topics motivated by the subsequent development of quantum mechanics, especially wave equations, Poisson brackets and harmonic oscillators. It also presents new treatments of waves and particles and the symmetries in quantum mechanics, as well as extensive coverage of the experimental foundations.

    • Introduces a geometric view of fundamental physics, starting from quantum mechanics and its experimental foundations
    • Presents an original synthesis of all basic topics in modern quantum mechanics, with special emphasis on geometric and structural issues
    • Features materials not usually covered: an analysis of waves and particles, a treatment of symmetries in quantum mechanics and an assessment of modern pictures of quantum mechanics
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    Reviews & endorsements

    '… excellent, clear … [The authors'] exposition of unique physical insights together with their detailed mathematical expression is most welcome. Each chapter contains problem sets and there are references and an index. The chapter on experimental foundations of quantum theory is replete with rare physical explanations and insights. The various approximation methods are presented in a unified approach as are the modern pictures of quantum mechanics. This textbook provides a good introduction to the tomographic picture which allows classical and quantum descriptions to [be] compared.' Optics and Photonics News

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    Product details

    • Date Published: November 2014
    • format: Hardback
    • isbn: 9781107076044
    • length: 397 pages
    • dimensions: 253 x 193 x 22 mm
    • weight: 1.03kg
    • contains: 25 b/w illus. 79 exercises
    • availability: In stock
  • Table of Contents

    Preface
    1. Introduction: the need for a quantum theory
    2. Experimental foundations of quantum theory
    3. Waves and particles
    4. Schrödinger picture, Heisenberg picture and probabilistic aspects
    5. Integrating the equations of motion
    6. Elementary applications:
    1-dimensional problems
    7. Elementary applications: multidimensional problems
    8. Coherent states and related formalism
    9. Introduction to spin
    10. Symmetries in quantum mechanics
    11. Approximation methods
    12. Modern pictures of quantum mechanics
    13. Formulations of quantum mechanics and their physical implications
    14. Exam problems
    Glossary of geometric concepts
    References
    Index.

  • Authors

    Giampiero Esposito, Università degli Studi di Napoli 'Federico II'
    Giampiero Esposito is Primo Ricercatore at the Istituto Nazionale di Fisica Nucleare. His contributions have been devoted to quantum gravity and quantum field theory on manifolds with boundary.

    Giuseppe Marmo, Università degli Studi di Napoli 'Federico II'
    Giuseppe Marmo is Professor of Theoretical Physics at Naples University. His research interests are in the geometry of classical and quantum dynamical systems, deformation quantization and constrained and integrable systems.

    Gennaro Miele, Università degli Studi di Napoli 'Federico II'
    Gennaro Miele is Associate Professor in Theoretical Physics at the University of Naples 'Federico II', Italy. His main research interests are primordial nucleosynthesis and neutrino cosmology.

    George Sudarshan, University of Texas, Austin
    George Sudarshan is Professor of Physics in the Department of Physics, University of Texas, Austin. His research has revolutionized the understanding of classical and quantum dynamics.

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