Fock-Bargman Representation of the Distorted Heisenberg Algebra
Abstract
The dynamical algebra associated to a family of Isospectral Oscillator Hamiltonians, named {\it Distorted Heisenberg Algebra} because its dependence on a distortion parameter
W≥0
, has been recently studied. The connection of this algebra with the Hilbert space of entire functions of growth (1/2, 2) is analized.