Нова версiя Q-деформованої суперсиметричної квантової механiки

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,...

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Bibliographic Details
Date:2018
Main Authors: Gavrilik, A. M., Kachurik, I. I., Lukash, A. V.
Format: Article
Language:English
Published: Publishing house "Academperiodika" 2018
Online Access:https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2018382
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Journal Title:Ukrainian Journal of Physics

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Ukrainian Journal of Physics
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Summary: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 yielding q-superoscillator turns out to be non-Gaussian and takes the form of special (TD-type) q-deformed Gaussian.