Quantum mechanics and quantum field theory : a mathematical primer / Jonathan Dimock.

Format:

Book

Author/Creator:

Dimock, Jonathan, 1945- author.

Language:

English

Subjects (All):

Quantum theory--Mathematics.

Quantum theory.

Physical Description:

1 online resource (xi, 226 pages) : digital, PDF file(s).

Edition:

1st ed.

Other Title:

Quantum Mechanics & Quantum Field Theory

Place of Publication:

Cambridge : Cambridge University Press, 2011.

Language Note:

English

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.

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.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references and index.

ISBN:

1-107-22121-8

1-107-38670-5

1-283-01738-5

9786613017383

0-511-79334-0

1-139-00981-8

1-139-01033-6

1-139-00818-8

1-139-00707-6

1-139-00928-1

OCLC:

707068360