New version of $q$-deformed supersymmetric quantum mechanics
Quantum Physics
2013-11-15 v1 High Energy Physics - Theory
Abstract
A new version of the q-deformed supersymmetric quantum mechanics (q-SQM), which is inspired by the Tamm--Dankoff-type (TD-type) deformation of quantum harmonic oscillator, is constructed. The obtained algebra of q-SQM is similar to that in Spiridonov's approach. However, within our version of q-SQM, the ground state found explicitly in the special case of superpotential yiealding q-superoscillator turns out to be non-Gaussian and takes the form of special (TD-type) q-deformed Gaussian.
Cite
@article{arxiv.1311.3528,
title = {New version of $q$-deformed supersymmetric quantum mechanics},
author = {A. M. Gavrilik and I. I. Kachurik and A. V. Lukash},
journal= {arXiv preprint arXiv:1311.3528},
year = {2013}
}
Comments
8 pages, 2-column UJP style, based on talk at the internat. conf. "Quantum Groups and Guantum Integrable systems" (June 18-21, 2013, Kiev, Ukraine)