Representations and derivations of quasi *-algebras induced by local modifications of states

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:356

Article

Bagarello, F.¹  Inoue, A.²  Trapani, C.³ 

[1] Univ Palermo, Fac Ingn, Dipartimento Metodi & Modelli Matemat, I-90128 Palermo, Italy

[2] Fukuoka Univ, Dept Appl Math, Fukuoka 8140180, Japan

[3] Univ Palermo, Dipartimento Matemat & Applicaz, I-90123 Palermo, Italy

关键词: Algebras of unbounded operators;    Quantum dynamics;    Derivations;   

DOI  :  10.1016/j.jmaa.2009.03.034

来源: Elsevier

【 摘 要 】

The relationship between the GNS representations associated to states on a quasi *-algebra, which are local modifications of each other (in a sense which we will discuss) is examined. The role of local modifications oil the spatiality of the corresponding induced derivations describing the dynamics of a given quantum system with infinite degrees of freedom is discussed. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free