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Quantum mechanics and quantum field theory a mathematical primer Jonathan Dimock

By: Publication details: Cambridge, UK New York Cambridge University Press 2011Description: xi, 226 p ill 26 cmISBN:
  • 9781107005099 (hardback)
  • 1107005094 (hardback)
Subject(s): DDC classification:
  • 530.12
Other classification:
Online resources:
Contents:
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 -- Appendix A. Normed spaces -- Appendix B. Tesor product -- Appendix C. Distributions
Summary: "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"--
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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 -- Appendix A. Normed spaces -- Appendix B. Tesor product -- Appendix C. Distributions

"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"--

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