6533b7ddfe1ef96bd127407a

RESEARCH PRODUCT

Extended SUSY quantum mechanics, intertwining operators and coherent states

Fabio Bagarello

subject

PhysicsFOS: Physical sciencesGeneral Physics and AstronomyMathematical Physics (math-ph)SupersymmetryExtension (predicate logic)coherent statesType (model theory)supersimmetric quantum mechanicTheoretical physicsIsospectralMathematics::Mathematical PhysicsCoherent statesSupersymmetric quantum mechanicsSettore MAT/07 - Fisica MatematicaMathematical Physics

description

Abstract We propose an extension of supersymmetric quantum mechanics which produces a family of isospectral Hamiltonians. Our procedure slightly extends the idea of intertwining operators. Several examples of the construction are given. Further, we show how to build up vector coherent states of the Gazeau–Klauder type associated to our Hamiltonians.

https://doi.org/10.1016/j.physleta.2008.08.047