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<図書>
Evolution processes and the Feynman-Kac formula

責任表示 by Brian Jefferies
シリーズ Mathematics and its applications ; v. 353
データ種別 図書
出版者 Dordrecht ; Boston : Kluwer Academic
出版年 c1996
本文言語 英語
大きさ ix, 235 p. ; 25 cm
概要 The evolution of a physical system can often be described in terms of a semigroup of linear operators. Observations of the system may be modelled by a spectral measure. A combination of these basic o...jects produces a family of operator valued set functions, by which perturbations of the evolution are represented as path integrals. In this book, random processes measured by operator valued set functions - evolution processes - are systematically examined for the first time. The Feynman-Kac formula, representing perturbations of the heat semigroup in terms of integrals with respect to Wiener measure, is extended in a number of directions: to other countably additive processes, not necessarily associated with a probability measure; to unbounded processes such as those associated with Feynman integrals; and to random evolutions. Audience: Researchers in mathematical physics, functional analysis and stochastic processes. 続きを見る

所蔵情報


理系図 自動書庫 068252195011770 105/JEF

書誌詳細

一般注記 Includes bibliographical references and index
著者標目 *Jefferies, Brian
件 名 LCSH:Path integrals
LCSH:Evolution equations
LCSH:Quantum theory
LCSH:Vector spaces
分 類 LCC:QC174.17.P27
DC20:530.1/2
NDC8:421.5
書誌ID 1001090284
ISBN 079233843X
NCID BA26866354
巻冊次 ISBN:079233843X
登録日 2009.09.17
更新日 2009.09.17

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