Fock-Bargman Representation of the Distorted Heisenberg Algebra
J. Oscar Rosas-Ortiz
TL;DR
This paper explores the Fock-Bargman representation of the Distorted Heisenberg Algebra linked to Isospectral Oscillator Hamiltonians, analyzing its connection with entire functions of specific growth.
Contribution
It introduces a Fock-Bargman representation for the Distorted Heisenberg Algebra and examines its relation to entire functions of growth (1/2, 2).
Findings
Established a representation connecting the algebra to entire functions.
Analyzed the algebra's dependence on the distortion parameter W.
Provided insights into the algebra's structure and functional analysis.
Abstract
The dynamical algebra associated to a family of Isospectral Oscillator Hamiltonians, named {\it Distorted Heisenberg Algebra} because its dependence on a distortion parameter , has been recently studied. The connection of this algebra with the Hilbert space of entire functions of growth (1/2, 2) is analized.
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