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New version of q-deformed supersymmetric quantum mechanics

arXiv
Authors: A. M. Gavrilik, I. I. Kachurik, A. V. Lukash

Year

2013

Paper ID

31918

Status

Preprint

Abstract Read

~2 min

Abstract Words

69

Citations

N/A

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.

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  • 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...

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