書目名稱 | Noncommutative Dynamics and E-Semigroups |
編輯 | William Arveson |
視頻video | http://file.papertrans.cn/668/667190/667190.mp4 |
概述 | Includes supplementary material: |
叢書名稱 | Springer Monographs in Mathematics |
圖書封面 |  |
描述 | These days, the term Noncommutative Dynamics has several interpretations. It is used in this book to refer to a set of phenomena associated with the dynamical evo- lution of quantum systems of the simplest kind that involve rigorous mathematical structures associated with infinitely many degrees of freedom. The dynamics of such a system is represented by a one-parameter group of automorphisms of a non- commutative algebra of observables, and we focus primarily on the most concrete case in which that algebra consists of all bounded operators on a Hilbert space. If one introduces a natural causal structure into such a dynamical system, then a pair of one-parameter semigroups of endomorphisms emerges, and it is useful to think of this pair as representing the past and future with respect to the given causality. These are both Eo-semigroups, and to a great extent the problem of understanding such causal dynamical systems reduces to the problem of under- standing Eo-semigroups. The nature of these connections is discussed at length in Chapter 1. The rest of the book elaborates on what the author sees as the impor- tant aspects of what has been learned about Eo-semigroups during the past |
出版日期 | Book 2003 |
關(guān)鍵詞 | C*-algebra; Hilbert space; Mathematica; algebra; automorphism; commutative algebra; field; index theory; per |
版次 | 1 |
doi | https://doi.org/10.1007/978-0-387-21524-2 |
isbn_softcover | 978-1-4419-1803-1 |
isbn_ebook | 978-0-387-21524-2Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
issn_series | 1439-7382 |
copyright | Springer Science+Business Media New York 2003 |