Linearized coherent states for Hamiltonian systems with two equidistant ladder spectra

A simple way to construct exactly solvable Hamiltonians whose spectra contain two equidistant ladders, one finite and another infinite, appears when applying supersymmetric quantum mechanics to the harmonic oscillator. Some of those supersymmetric partners have third order differential ladder operat...

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Bibliographic Details
Published inJournal of physics. Conference series Vol. 512; no. 1; pp. 12018 - 10
Main Authors Bermudez, D, Contreras-Astorga, A, Fernández C, D J
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.01.2014
Subjects
Coherence
Hamiltonian functions
Harmonic oscillators
Ladders
Linearization
Mathematical analysis
Physics
Quantum mechanics
Spectra
Subspaces
Supersymmetry
Transformations
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Summary:A simple way to construct exactly solvable Hamiltonians whose spectra contain two equidistant ladders, one finite and another infinite, appears when applying supersymmetric quantum mechanics to the harmonic oscillator. Some of those supersymmetric partners have third order differential ladder operators, although the order of the transformation is higher than one. In this work the linearized coherent states for these specific Hamiltonians are studied. To each SUSY partner Hamiltonian corresponds two families of linearized coherent states: one inside the subspace associated with the isospectral part of the spectrum and another one in the finite subspace generated by the states inserted through the SUSY technique.
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ISSN:1742-6596
1742-6588
1742-6596
DOI:10.1088/1742-6596/512/1/012018