TY - JOUR AU - Gavrilik, A. M. AU - Kachurik, I. I. AU - Lukash, A. V. PY - 2018/10/11 Y2 - 2024/03/29 TI - New Version of Q-Deformed Supersymmetric Quantum Mechanics JF - Ukrainian Journal of Physics JA - Ukr. J. Phys. VL - 58 IS - 11 SE - DO - 10.15407/ujpe58.11.1025 UR - https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2018382 SP - 1025 AB - <p>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.</p> ER -