New Version of Q-Deformed Supersymmetric Quantum Mechanics
Keywords:supersymmetric quantum mechanics, q-deformation, scaling operator, q-superoscillator, ground state, q-Gaussian
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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