Mathematical Topics Between Classical and Quantum Mechanics

Name: Mathematical Topics Between Classical and Quantum Mechanics
Brand: Springer, Berlin
SKU: 9781461272427
Price: 199.12 EUR
Availability: InStock

Autor: Nicholas P. Landsman

Jazyk:

Väzba: Brožovaná

Vydavateľ: Springer, Berlin

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199.12 €

This monograph draws on two traditions: the algebraic formulation of quantum mechanics as well as qu...

Informácie o knihe

Autor

Nicholas P. Landsman

Jazyk

Angličtina

Väzba

Kniha - Brožovaná

Vydalo

2013

Stránok

529

EAN

9781461272427

ISBN

1461272424

Enbook ID

06795153

Vydavateľ

Springer, Berlin

Hmotnosť

836

Rozmery

155 x 235 x 28

Kompletný popis

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.

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Mathematical Topics Between Classical and Quantum Mechanics

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