Dhaka University Library Online

Your cart is empty.
Library Logo
Normal view MARC view ISBD view

Mathematical topics between classical and quantum mechanics /

by Landsman, N. P. (Nicholas P.).
Material type: materialTypeLabelBookPublisher: New York : Springer, c1998Description: xix, 529 p. ; 24 cm. ill.ISBN: 038798318X (hardcover : alk. paper).Subject(s): Quantum theory -- Mathematics | Quantum field theory -- Mathematics | Hilbert space | Geometry, Differential | Mathematical physics
Contents:
Observables and Pure States -- Quantization and the Classical Limit -- Groups, Bundles, and Groupoids -- Reduction and Induction.
Summary: 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 into a unified treatment of the theory of Poisson algebras and operator algebras, based on the duality between algebras of observables and pure state spaces with a transition probability. The theory of quantization and the classical limit is discussed from this perspective.Summary: This 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.
Tags from this library: No tags from this library for this title. Add tag(s)
Log in to add tags.
    average rating: 0.0 (0 votes)
Item type Current location Collection Call number Status Date due Barcode
Books Books Dhaka University Science Library
General Stacks 		Non Fiction 530.12 LAM (Browse shelf) Available 454849

Includes bibliographical references (p. [483]-520) and index.

I. Observables and Pure States -- II. Quantization and the Classical Limit -- III. Groups, Bundles, and Groupoids -- IV. Reduction and Induction.

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 into a unified treatment of the theory of Poisson algebras and operator algebras, based on the duality between algebras of observables and pure state spaces with a transition probability. The theory of quantization and the classical limit is discussed from this perspective.

This 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.

There are no comments for this item.

Log in to your account to post a comment.
Last Updated on September 15, 2019
© Dhaka University Library. All Rights Reserved|Staff Login