Supersymmetric harmonic oscillator and nonlinear supercoherent states

30th International Colloquium on Group Theoretical Methods in Physics

Diaz-Bautista, Erik^1 ; Fernandez C, David J.^1

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

07000, Mexico^1

关键词: Annihilation operators;    Harmonic oscillators;    Uncertainty relation;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/597/1/012031/pdf
DOI  :  10.1088/1742-6596/597/1/012031

来源: IOP

【 摘 要 】

We find and analyze the (nonlinear) supercoherent states associated with the generalized nonlinear supersymmetric annihilation operator (SAO) of the supersymmetric harmonic oscillator. We discuss as well the uncertainty relation for a special case in order to compare our results with those obtained for the linear supercoherent states.