New Version of Q-Deformed Supersymmetric Quantum Mechanics

  • A. M. Gavrilik Bogolyubov Institute for Theoretical Physics, Nat. Acad. of Sci. of Ukraine
  • I. I. Kachurik Bogolyubov Institute for Theoretical Physics, Nat. Acad. of Sci. of Ukraine
  • A. V. Lukash Bogolyubov Institute for Theoretical Physics, Nat. Acad. of Sci. of Ukraine
Keywords: supersymmetric quantum mechanics, q-deformation, scaling operator, q-superoscillator, ground state, q-Gaussian

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.

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Published
2018-10-11
How to Cite
Gavrilik, A., Kachurik, I., & Lukash, A. (2018). New Version of Q-Deformed Supersymmetric Quantum Mechanics. Ukrainian Journal of Physics, 58(11), 1025. https://doi.org/10.15407/ujpe58.11.1025
Section
Archive