6533b822fe1ef96bd127d71d
RESEARCH PRODUCT
Coupled Susy, pseudo-bosons and a deformed su(1, 1) Lie algebra
Fabio Bagarellosubject
Statistics and ProbabilityPhysicsCoupled SUSY quantum mechanicsGeneral Physics and AstronomyStatistical and Nonlinear PhysicsSupersymmetryLadder operatorModeling and SimulationBiorthogonal systemLadder operatorsLie algebraComputingMethodologies_DOCUMENTANDTEXTPROCESSINGPseudo-bosonsConnection (algebraic framework)Settore MAT/07 - Fisica MatematicaMathematical PhysicsBosonMathematical physicsdescription
Abstract In a recent paper a pair of operators a and b satisfying the equations a † a = bb † + γ 1 and aa † = b † b + δ 1 , has been considered, and their nature of ladder operators has been deduced and analyzed. Here, motivated by the spreading interest in non self-adjoint operators in quantum mechanics, we extend this situation to a set of four operators, c, d, r and s, satisfying dc = rs + γ 1 and cd = sr + δ 1 , and we show that they are also ladder operators. We show their connection with biorthogonal families of vectors and with the so-called D -pseudo bosons. Some examples are discussed.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2021-03-19 |