2015•Ukrainian Journal of PhysicsOpen access

New Version of Q-Deformed Supersymmetric Quantum Mechanics

Alexandre M. Gavrilik, І. І. Качурик, A. V. Lukash

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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Key concepts: Superpotential, Supersymmetric quantum mechanics, Physics, Harmonic oscillator, Type (biology), Quantum mechanics, Gaussian, Quantum