Mathematical Topics Between Classical and Quantum Mechanics is popular PDF and ePub book, written by Nicholas P. Landsman in 2012-12-06, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, Mathematical Topics Between Classical and Quantum Mechanics can be Read Online from any device for your convenience.
Mathematical Topics Between Classical and Quantum Mechanics Book PDF Summary
This monograph draws on two traditions: the algebraic formulation of quantum mechanics as well as quantum field theory, and the geometric theory of classical mechanics. These are combined in a unified treatment of the theory of Poisson algebras of observables and pure state spaces with a transition probability, which leads on to a discussion of the theory of quantization and the classical limit from this perspective. A prototype of quantization comes from the analogy between the C*- algebra of a Lie groupoid and the Poisson algebra of the corresponding Lie algebroid. The parallel between reduction of symplectic manifolds in classical mechanics and induced representations of groups and C*- algebras in quantum mechanics plays an equally important role. Examples from physics include constrained quantization, curved spaces, magnetic monopoles, gauge theories, massless particles, and $theta$- vacua. Accessible to mathematicians with some prior knowledge of classical and quantum mechanics, and to mathematical physicists and theoretical physicists with some background in functional analysis.
Detail Book of Mathematical Topics Between Classical and Quantum Mechanics PDF
- Author : Nicholas P. Landsman
- Release : 06 December 2012
- Publisher : Springer Science & Business Media
- ISBN : 9781461216803
- Genre : Science
- Total Page : 547 pages
- Language : English
- PDF File Size : 12,8 Mb
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