عنوان

Mathematical Topics Between Classical and Quantum Mechanics /

شابک

146121680X

شابک

9781461216803

شابک اشتباه

146121680X

شابک اشتباه

1461272424

شابک اشتباه

9781461272427

عنوان اصلي

Mathematical Topics Between Classical and Quantum Mechanics /

نام عام مواد

[Book]

نام نخستين پديدآور

by N.P. Landsman.

محل نشرو پخش و غیره

New York, NY :

نام ناشر، پخش کننده و غيره

Springer New York,

تاریخ نشرو بخش و غیره

1998.

نام خاص و کميت اثر

1 online resource (xix, 529 pages)

عنوان فروست

Springer Monographs in Mathematics,

شاپا ي ISSN فروست

1439-7382

متن يادداشت

Introductory overview -- Observables and pure states -- Quantization and the classical limit -- Groups, bundles, and groupoids -- Reduction and induction -- Notes -- References -- Index.

بدون عنوان

0

متن يادداشت

This monograph draws on two traditions: the algebraic formulation of quantum mechanics and 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. The theory of quantization and the classical limit is discussed 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. The book should be accessible to mathematicians with some prior knowledge of classical and quantum mechanics, to mathematical physicists and to theoretical physicists who have some background in functional analysis.

شماره استاندارد بين المللي کتاب و موسيقي

9781461272427

موضوع مستند نشده

Physics.

موضوع مستند نشده

Physics.

موضوع مستند نشده

PHU

موضوع مستند نشده

SCI040000

شماره

ويراست

شماره رده

مستند نام اشخاص تاييد نشده

Landsman, N. P.

تاريخ عمليات

20200823024427.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y