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Quantum Simulation Entanglement Theory Quantum Correlations Open Quantum Systems Decoherence

Coherent states for Hamiltonians generated by supersymmetry

arXiv
Authors: David J. Fernandez C, Veronique Hussin, Oscar Rosas-Ortiz

Year

2007

Paper ID

50425

Status

Preprint

Abstract Read

~2 min

Abstract Words

69

Citations

N/A

Abstract

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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  • 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...

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