Quantum Mechanics and Quantum Field Theory
A Mathematical Primer

Explaining the concepts in a precise mathematical language, this textbook is an ideal introduction for graduate students in mathematics.

Jonathan Dimock (Author)

9781107005099, Cambridge University Press

Hardback, published 3 February 2011

238 pages, 101 exercises
25.3 x 19.4 x 1.3 cm, 0.69 kg

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.

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.

Subject Areas: Mathematical physics [PHU], Physics [PH], Mathematics & science [P]