Supercoherent states approach to the SUSY harmonic oscillator

Erik Díaz-Bautista; David J. Fernández C

doi:10.1088/1742-6596/624/1/012014

Supercoherent states approach to the SUSY harmonic oscillator

Erik Díaz-Bautista, David J. Fernández C

Research output: Contribution to journal › Conference article › peer-review

Abstract

The nonlinear supercoherent states, associated with a nonlinear generalization of the Kornbluth-Zypman (KZ) supersymmetric annihilation operator (SAO) of the supersymmetric harmonic oscillator, will be studied. We discuss as well the Heisenberg uncertainty relation σ²_xσ²_p for a special case which will allow us to compare our results with those obtained for the KZ linear supercoherent states.

Original language	English
Article number	012014
Journal	Journal of Physics: Conference Series
Volume	624
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/624/1/012014
State	Published - 26 Jun 2015
Externally published	Yes
Event	International Conference on Quantum Control, Exact or Perturbative, Linear or Nonlinear to Celebrate 50 Years of the Scientific Career of Professor Bogdan Mielnik, Mielnik 2014 - Mexico City, Mexico Duration: 22 Oct 2014 → 24 Oct 2014

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10.1088/1742-6596/624/1/012014

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title = "Supercoherent states approach to the SUSY harmonic oscillator",

abstract = "The nonlinear supercoherent states, associated with a nonlinear generalization of the Kornbluth-Zypman (KZ) supersymmetric annihilation operator (SAO) of the supersymmetric harmonic oscillator, will be studied. We discuss as well the Heisenberg uncertainty relation σ2xσ2p for a special case which will allow us to compare our results with those obtained for the KZ linear supercoherent states.",

author = "Erik D{\'i}az-Bautista and {Fern{\'a}ndez C}, {David J.}",

note = "Publisher Copyright: {\textcopyright} Published under licence by IOP Publishing Ltd.; International Conference on Quantum Control, Exact or Perturbative, Linear or Nonlinear to Celebrate 50 Years of the Scientific Career of Professor Bogdan Mielnik, Mielnik 2014 ; Conference date: 22-10-2014 Through 24-10-2014",

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AU - Díaz-Bautista, Erik

AU - Fernández C, David J.

N1 - Publisher Copyright: © Published under licence by IOP Publishing Ltd.

PY - 2015/6/26

Y1 - 2015/6/26

N2 - The nonlinear supercoherent states, associated with a nonlinear generalization of the Kornbluth-Zypman (KZ) supersymmetric annihilation operator (SAO) of the supersymmetric harmonic oscillator, will be studied. We discuss as well the Heisenberg uncertainty relation σ2xσ2p for a special case which will allow us to compare our results with those obtained for the KZ linear supercoherent states.

AB - The nonlinear supercoherent states, associated with a nonlinear generalization of the Kornbluth-Zypman (KZ) supersymmetric annihilation operator (SAO) of the supersymmetric harmonic oscillator, will be studied. We discuss as well the Heisenberg uncertainty relation σ2xσ2p for a special case which will allow us to compare our results with those obtained for the KZ linear supercoherent states.

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DO - 10.1088/1742-6596/624/1/012014

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AN - SCOPUS:84938865270

SN - 1742-6588

VL - 624

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

IS - 1

M1 - 012014

T2 - International Conference on Quantum Control, Exact or Perturbative, Linear or Nonlinear to Celebrate 50 Years of the Scientific Career of Professor Bogdan Mielnik, Mielnik 2014

Y2 - 22 October 2014 through 24 October 2014

ER -

Supercoherent states approach to the SUSY harmonic oscillator

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