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arXiv · 1311.3528

New version of $q$-deformed supersymmetric quantum mechanics

A. M. Gavrilik·I. I. Kachurik·A. V. Lukash
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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. M. Gavrilik, I. I. Kachurik, A. V. Lukash. 2013-11-14. New version of $q$-deformed supersymmetric quantum mechanics. https://arxiv.org/abs/1311.3528

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