Coherent states for Hamiltonians generated by supersymmetry

Details Coherent states for Hamiltonians generated by supersymmetry Coherent states for Hamiltonians generated by supersymmetry

2007-05-02

arxiv.org/abs/0705.0316v1

J.Phys.A40:6491-6511,2007

Physics

Quantum Physics

LaTeX file, 26 pages, 3 eps figures

Scientific paper

10.1088/1751-8113/40/24/015

Coherent states are derived for one-dimensional systems generated by supersymmetry from an initial Hamiltonian with a purely discrete spectrum for which the levels depend analytically on their subindex. It is shown that the algebra of the initial system is inherited by its SUSY partners in the subspace associated to the isospectral part or the spectrum. The technique is applied to the harmonic oscillator, infinite well and trigonometric Poeschl-Teller potentials.

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