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

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• 作者：F. Bagarello ; A. Inoue ; C. Trapani
• 关键词：Algebras of unbounded operators ; Quantum dynamics ; Derivations
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2009
• 出版时间：15 August 2009
• 年：2009
• 卷：356
• 期：2
• 页码：615-623
• 全文大小：216 K

文摘

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 on the spatiality of the corresponding induced derivations describing the dynamics of a given quantum system with infinite degrees of freedom is discussed.