# 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.