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Více informací o knize Mathematical Topics Between Classical and Quantum Mechanics

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Anotace knihy

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.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Physics Mathematical physics

• Plný název: Mathematical Topics Between Classical and Quantum Mechanics
• Autor: Nicholas P. Landsman
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 529
• EAN: 9781461272427
• ISBN: 1461272424
• ID: 06795153
• Nakladatelství: Springer, Berlin
• Hmotnost: 836 g
• Rozměry: 235 × 155 × 28 mm
• Datum vydání: 13. March 2013

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