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Quantum Mechanics and Quantum Field Theory

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Quantum Mechanics and Quantum Field Theory

Quantum Mechanics and Quantum Field Theory

A Mathematical Primer
Jonathan Dimock, State University of New York, Buffalo
February 2011
Available
Hardback
9781107005099
£63.99
GBP
Hardback
USD
eBook
    Description

    Explaining the concepts of quantum mechanics and quantum field theory in a precise mathematical language, this textbook is an ideal introduction for graduate students in mathematics, helping to prepare them for further studies in quantum physics. The textbook covers topics that are central to quantum physics: non-relativistic quantum mechanics, quantum statistical mechanics, relativistic quantum mechanics and quantum field theory. There is also background material on analysis, classical mechanics, relativity and probability. Each topic is explored through a statement of basic principles followed by simple examples. Around 100 problems throughout the textbook help readers develop their understanding.

    • Presents quantum physics in a mathematically precise language to give greater clarity of concepts and methods
    • Focuses only on topics central to quantum physics: non-relativistic quantum mechanics, quantum statistical mechanics, relativistic quantum mechanics and quantum field theory
    • Prepares graduate students in mathematics for further studies in the subject

    Product details

    February 2011
    Hardback
    9781107005099
    238 pages
    253 × 194 × 13 mm
    0.69kg
    101 exercises
    Available

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    This title is available for institutional purchase via Cambridge Core

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    Contents

    Table of Contents

    • Introduction
    • Part I. Non-relativistic:
    • 1. Mathematical prelude
    • 2. Classical mechanics
    • 3. Quantum mechanics
    • 4. Single particle
    • 5. Many particles
    • 6. Statistical mechanics
    • Part II. Relativistic:
    • 7. Relativity
    • 8. Scalar particles and fields
    • 9. Electrons and photons
    • 10. Field theory on a manifold
    • Part III. Probabilistic Methods:
    • 11. Path integrals
    • 12. Fields as random variables
    • 13. A nonlinear field theory
    • Appendices
    • References
    • Index.
      • Show more

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    About the authors
      Author
    • Jonathan Dimock , State University of New York, Buffalo

      Jonathan Dimock is Professor of Mathematics, SUNY, Buffalo. He has carried out research in various areas of mathematical physics, including constructive quantum field theory, quantum field theory on manifolds, renormalization group methods and string theory.

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