6533b7ddfe1ef96bd12753ca
RESEARCH PRODUCT
Deformed quons and bi-coherent states
Fabio Bagarellosubject
Pseudo-bosonComputer Science::Machine LearningSimilarity (geometry)Mathematical problemGeneral MathematicsFOS: Physical sciencesGeneral Physics and AstronomyComputer Science::Digital Libraries01 natural sciencesPhysics and Astronomy (all)Statistics::Machine LearningTheoretical physicsIdentity (mathematics)Engineering (all)Quon0103 physical sciencesMathematics (all)0101 mathematics010306 general physicsSettore MAT/07 - Fisica MatematicaEigenvalues and eigenvectorsMathematical PhysicsPhysicsQuantum PhysicsAnnihilation010102 general mathematicsGeneral EngineeringMathematical Physics (math-ph)Bounded functionComputer Science::Mathematical SoftwareCoherent statesQuantum Physics (quant-ph)Coherent stateResolution (algebra)description
We discuss how a q-mutation relation can be deformed replacing a pair of conjugate operators with two other and unrelated operators, as it is done in the construction of pseudo-fermions, pseudo-bosons and truncated pseudo-bosons. This deformation involves interesting mathematical problems and suggests possible applications to pseudo-hermitian quantum mechanics. We construct bi-coherent states associated to $\D$-pseudo-quons, and we show that they share many of their properties with ordinary coherent states. In particular, we find conditions for these states to exist, to be eigenstates of suitable annihilation operators and to give rise to a resolution of the identity. Two examples are discussed in details, one connected to an unbounded similarity map, and the other to a bounded map.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-01-01 |