6533b7dafe1ef96bd126e222

RESEARCH PRODUCT

Vector coherent states and intertwining operators

Fabio Bagarello

subject

Statistics and ProbabilityComputer scienceFOS: Physical sciencesGeneral Physics and AstronomyStatistical and Nonlinear PhysicsMathematical Physics (math-ph)Construct (python library)Intertwining operatorcoherent statesType (model theory)AlgebraIsospectralOperator (computer programming)Modeling and SimulationCoherent statesMathematics::Mathematical PhysicsSettore MAT/07 - Fisica MatematicaEigenvalues and eigenvectorsMathematical Physics

description

In this paper we discuss a general strategy to construct vector coherent states of the Gazeau-Klauder type and we use them to built up examples of isospectral hamiltonians. For that we use a general strategy recently proposed by the author and which extends well known facts on intertwining operators. We also discuss the possibility of constructing non-isospectral hamiltonians with related eigenstates.

10.1088/1751-8113/42/7/075302http://arxiv.org/abs/0904.0201