6533b82efe1ef96bd1293ede

RESEARCH PRODUCT

A Note on States and Traces from Biorthogonal Sets

Salvatore Triolo

subject

Pure mathematicsnon-Hermitian HamiltoniansGibbs statePhysics and Astronomy (miscellaneous)lcsh:MathematicsGeneral Mathematicsbiorthogonal sets of vector010102 general mathematicsGibbs stateslcsh:QA1-93901 natural sciencesDomain (software engineering)TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGESSettore MAT/05 - Analisi MatematicaChemistry (miscellaneous)Biorthogonal system0103 physical sciencesComputer Science (miscellaneous)0101 mathematics010306 general physicsMathematics

description

In this paper, following Bagarello, Trapani, and myself, we generalize the Gibbs states and their related KMS-like conditions. We have assumed that H 0 , H are closed and, at least, densely defined, without giving information on the domain of these operators. The problem we address in this paper is therefore to find a dense domain D that allows us to generalize the states of Gibbs and take them in their natural environment i.e., defined in L &dagger

yearjournalcountryeditionlanguage
2019-05-10Symmetry
10.3390/sym11050654http://dx.doi.org/10.3390/sym11050654