Fock-Bargman Representation of the Distorted Heisenberg Algebra
High Energy Physics - Theory
2008-11-26 v2 Quantum Physics
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.
Keywords
Cite
@article{arxiv.hep-th/9512120,
title = {Fock-Bargman Representation of the Distorted Heisenberg Algebra},
author = {J. Oscar Rosas-Ortiz},
journal= {arXiv preprint arXiv:hep-th/9512120},
year = {2008}
}
Comments
10 pages, Latex, 0 figures. Minor revisions and changes in the above version. A new number operator $N_w$ which dependence as a function of the Hamiltonian $H{_\lambda}$ has been discussed. Submitted to J. Phys. A: Math. Gen. 1996