Supercoherent states approach to the SUSY harmonic oscillator

International Conference on 'Quantum Control, Exact or Perturbative, Linear or Nonlinear' to celebrate 50 years of the scientific career of Professor Bogdan Mielnik

Díaz-Bautista, Erik^1 ; Fernández C, David J.^1

Physics Department, Cinvestav, A.P. 14-740, México D.F.

07000, Mexico^1

关键词: Annihilation operators;    Harmonic oscillators;    Heisenberg uncertainty relation;    Nonlinear generalizations;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/624/1/012014/pdf
DOI  :  10.1088/1742-6596/624/1/012014

来源: IOP

【 摘 要 】

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 σ2xσ2pfor a special case which will allow us to compare our results with those obtained for the KZ linear supercoherent states.