Search results for "Algebras of unbounded operator"

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Algebras of unbounded operators and physical applications: a survey

2009

After a historical introduction on the standard algebraic approach to quantum mechanics of large systems we review the basic mathematical aspects of the algebras of unbounded operators. After that we discuss in some details their relevance in physical applications.

AlgebraAlgebras of unbounded operatorComputer scienceComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONAlgebraic dynamicFOS: Physical sciencesStatistical and Nonlinear PhysicsRelevance (information retrieval)Mathematical Physics (math-ph)Algebraic numberQuantum systems with infinite degrees of freedomSettore MAT/07 - Fisica MatematicaMathematical Physics
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Representations and derivations of quasi ∗-algebras induced by local modifications of states

2009

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.

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