Quantum Mechanics and Quantum Field Theory: A Mathematical Primer
Cambridge University Press, 2/3/2011
EAN 9781107005099, ISBN10: 1107005094
Hardcover, 238 pages, 25.3 x 19.4 x 1.3 cm
Language: English
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.