First-Order Polynomial Heisenberg Algebras and Coherent States

The polynomial Heisenberg algebras (PHA) are deformations of the Heisenberg- Weyl algebra characterizing the underlying symmetry of the supersymmetric partners of the Harmonic oscillator. When looking for the simplest system ruled by PHA, however, we end up with the harmonic oscillator. In this pape...

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Bibliographic Details
Published inJournal of physics. Conference series Vol. 698; no. 1; pp. 12007 - 12015
Main Authors Castillo-Celeita, M, Fernández C, D J
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.03.2016
Subjects
Algebra
Coherence
Harmonic oscillators
Physics
Polynomials
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Summary:The polynomial Heisenberg algebras (PHA) are deformations of the Heisenberg- Weyl algebra characterizing the underlying symmetry of the supersymmetric partners of the Harmonic oscillator. When looking for the simplest system ruled by PHA, however, we end up with the harmonic oscillator. In this paper we are going to realize the first-order PHA through the harmonic oscillator. The associated coherent states will be also constructed, which turn out to be the well known even and odd coherent states.
ISSN:1742-6588
1742-6596
1742-6596
DOI:10.1088/1742-6596/698/1/012007