6533b825fe1ef96bd1282077

RESEARCH PRODUCT

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

Camillo TrapaniFabio BagarelloAtsushi Inoue

subject

Quasi *-algebrasPure mathematicsApplied MathematicsQuantum dynamicsDegrees of freedomAlgebras of unbounded operatorsDerivationsRepresentationSettore MAT/05 - Analisi MatematicaQuantum systemDerivationQuantum dynamicsRepresentation (mathematics)Settore MAT/07 - Fisica MatematicaAnalysisMathematics

description

Abstract 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.

yearjournalcountryeditionlanguage
2009-08-01Journal of Mathematical Analysis and Applications
https://doi.org/10.1016/j.jmaa.2009.03.034