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Current issue   Ukr. J. Phys. 2014, Vol. 58, N 11, p.1025-1032
doi:10.15407/ujpe58.11.1025    Paper

Gavrilik A.M., Kachurik I.I., Lukash A.V.

Bogolyubov Institute for Theoretical Physics, Nat. Acad. of Sci. of Ukraine
(14b, Metrologichna Str., Kyiv 03680, Ukraine; e-mail: omgavr@bitp.kiev.ua)

New Version of q-Deformed Supersymmetric Quantum Mechanics

Section: International Conference “Quantum Groups and Quantum Integrable Systems” Kyiv, June 18–21, 2013
Original Author's Text: English

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

Key words: supersymmetric quantum mechanics, q-deformation, scaling operator, q-superoscillator, ground state, q-Gaussian.