<電子ブック>
An Introduction to Quantum Stochastic Calculus / by K.R. Parthasarathy
(Modern Birkhäuser Classics. ISSN:21971811)
版 | 1st ed. 1992. |
---|---|
出版者 | (Basel : Springer Basel : Imprint: Birkhäuser) |
出版年 | 1992 |
本文言語 | 英語 |
大きさ | XI, 290 p : online resource |
著者標目 | *Parthasarathy, K.R author SpringerLink (Online service) |
件 名 | LCSH:Probabilities LCSH:Mathematical physics LCSH:Functional analysis LCSH:Operator theory FREE:Probability Theory FREE:Mathematical Physics FREE:Functional Analysis FREE:Operator Theory |
一般注記 | Preface -- I Events, Observables and States -- II Observables and States in Tensor Products of Hilbert Spaces -- III Stochastic Integration and Quantum Ito’s Formula -- References -- Index -- Author Index An Introduction to Quantum Stochastic Calculus aims to deepen our understanding of the dynamics of systems subject to the laws of chance both from the classical and the quantum points of view and stimulate further research in their unification. This is probably the first systematic attempt to weave classical probability theory into the quantum framework and provides a wealth of interesting features: The origin of Ito’s correction formulae for Brownian motion and the Poisson process can be traced to commutation relations or, equivalently, the uncertainty principle. Quantum stochastic integration enables the possibility of seeing new relationships between fermion and boson fields. Many quantum dynamical semigroups as well as classical Markov semigroups are realised through unitary operator evolutions. The text is almost self-contained and requires only an elementary knowledge of operator theory and probability theory at the graduate level. - - - This is an excellent volume which will be a valuable companion both for those who are already active in the field and those who are new to it. Furthermore there are a large number of stimulating exercises scattered through the text which will be invaluable to students. (Mathematical Reviews) This monograph gives a systematic and self-contained introduction to the Fock space quantum stochastic calculus in its basic form (...) by making emphasis on the mathematical aspects of quantum formalism and its connections with classical probability and by extensive presentation of carefully selected functionalanalytic material. This makes the book very convenient for a reader with the probability-theoretic orientation, wishing to make acquaintance with wonders of the noncommutative probability, and, more specifcally, for a mathematics student studying this field. (Zentralblatt MATH) Elegantly written, withobvious appreciation for fine points of higher mathematics (...) most notable is [the] author's effort to weave classical probability theory into [a] quantum framework. (The American Mathematical Monthly) HTTP:URL=https://doi.org/10.1007/978-3-0348-0566-7 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
Springer eBooks | 9783034805667 |
|
電子リソース |
|
EB00232199 |
書誌詳細を非表示
データ種別 | 電子ブック |
---|---|
分 類 | LCC:QA273.A1-274.9 DC23:519.2 |
書誌ID | 4000107333 |
ISBN | 9783034805667 |
類似資料
この資料の利用統計
このページへのアクセス回数:4回
※2017年9月4日以降