Hamiltonian Mechanics of Gauge Systems

Nonfiction, Science & Nature, Science, Physics, Mathematical Physics, General Physics
Cover of the book Hamiltonian Mechanics of Gauge Systems by Lev V. Prokhorov, Sergei V. Shabanov, Cambridge University Press
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Author: Lev V. Prokhorov, Sergei V. Shabanov ISBN: 9781139637770
Publisher: Cambridge University Press Publication: September 22, 2011
Imprint: Cambridge University Press Language: English
Author: Lev V. Prokhorov, Sergei V. Shabanov
ISBN: 9781139637770
Publisher: Cambridge University Press
Publication: September 22, 2011
Imprint: Cambridge University Press
Language: English

The principles of gauge symmetry and quantization are fundamental to modern understanding of the laws of electromagnetism, weak and strong subatomic forces and the theory of general relativity. Ideal for graduate students and researchers in theoretical and mathematical physics, this unique book provides a systematic introduction to Hamiltonian mechanics of systems with gauge symmetry. The book reveals how gauge symmetry may lead to a non-trivial geometry of the physical phase space and studies its effect on quantum dynamics by path integral methods. It also covers aspects of Hamiltonian path integral formalism in detail, along with a number of related topics such as the theory of canonical transformations on phase space supermanifolds, non-commutativity of canonical quantization and elimination of non-physical variables. The discussion is accompanied by numerous detailed examples of dynamical models with gauge symmetries, clearly illustrating the key concepts.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

The principles of gauge symmetry and quantization are fundamental to modern understanding of the laws of electromagnetism, weak and strong subatomic forces and the theory of general relativity. Ideal for graduate students and researchers in theoretical and mathematical physics, this unique book provides a systematic introduction to Hamiltonian mechanics of systems with gauge symmetry. The book reveals how gauge symmetry may lead to a non-trivial geometry of the physical phase space and studies its effect on quantum dynamics by path integral methods. It also covers aspects of Hamiltonian path integral formalism in detail, along with a number of related topics such as the theory of canonical transformations on phase space supermanifolds, non-commutativity of canonical quantization and elimination of non-physical variables. The discussion is accompanied by numerous detailed examples of dynamical models with gauge symmetries, clearly illustrating the key concepts.

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