6533b852fe1ef96bd12aa43f
RESEARCH PRODUCT
Gibbs states defined by biorthogonal sequences
Fabio BagarelloSalvatore TrioloCamillo Trapanisubject
Statistics and ProbabilityPure mathematicsGibbs stateGeneral Physics and AstronomyFOS: Physical sciences01 natural sciencesPhysics and Astronomy (all)symbols.namesakeSettore MAT/05 - Analisi Matematica0103 physical sciencesnon-Hermitian HamiltonianMathematical PhysicBiorthogonal sets of vectorAlgebraic number010306 general physicsSettore MAT/07 - Fisica MatematicaMathematical PhysicsMathematicsQuantum Physics010308 nuclear & particles physicsStatistical and Nonlinear PhysicsMathematical Physics (math-ph)Modeling and SimulationBiorthogonal systemsymbolsHamiltonian (quantum mechanics)Quantum Physics (quant-ph)Statistical and Nonlinear Physicdescription
Motivated by the growing interest on PT-quantum mechanics, in this paper we discuss some facts on generalized Gibbs states and on their related KMS-like conditions. To achieve this, we first consider some useful connections between similar (Hamiltonian) operators and we propose some extended version of the Heisenberg algebraic dynamics, deducing some of their properties, useful for our purposes.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-01-01 |