6533b851fe1ef96bd12a97ae
RESEARCH PRODUCT
Extended pseudo-fermions from non commutative bosons
Jean-pierre GazeauFabio BagarelloS. Twareque Alisubject
Pure mathematicsFOS: Physical sciences01 natural sciencessymbols.namesakeIdentity (mathematics)Theoretical physicsMeasurement theory0103 physical sciences010306 general physicsSettore MAT/07 - Fisica MatematicaCommutative propertyMathematical PhysicsComputer Science::DatabasesComputingMilieux_MISCELLANEOUSMathematicsBoson[PHYS]Physics [physics]010308 nuclear & particles physicsHilbert spaceStatistical and Nonlinear PhysicsFermionMathematical Physics (math-ph)16. Peace & justiceBiorthogonal systemsymbolspseudo-bosons[PHYS.ASTR]Physics [physics]/Astrophysics [astro-ph]Resolution (algebra)description
We consider some modifications of the two dimensional canonical commutation relations, leading to {\em non commutative bosons} and we show how biorthogonal bases of the Hilbert space of the system can be obtained out of them. Our construction extends those recently introduced by one of us (FB), modifying the canonical anticommutation relations. We also briefly discuss how bicoherent states, producing a resolution of the identity, can be defined.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-07-01 |