Quantum Mechanics and Quantum Field Theory

Erscheinungsjahr 2019
ISBN: 978-1-107-00509-9
Verlag: Cambridge University Press

Buch, Englisch, 238 Seiten, Format (B × H): 208 mm x 260 mm, Gewicht: 746 g

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.

Autoren/Hrsg.

Dimock, Jonathan

Fachgebiete

• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Naturwissenschaften Physik Quantenphysik

Inhaltsverzeichnis

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.

Über Autor(innen)

Dimock, Jonathan
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.