New version of $q$-deformed supersymmetric quantum mechanics

Autor:	Gavrilik, A. M., Kachurik, I. I., Lukash, A. V.
Rok vydání:	2013
Předmět:	Quantum Physics High Energy Physics - Theory
Zdroj:	Ukr. J. Phys., 2013, Vol. 58, no. 11, pp. 1025-1032
Druh dokumentu:	Working Paper
Popis:	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 yiealding q-superoscillator turns out to be non-Gaussian and takes the form of special (TD-type) q-deformed Gaussian. Comment: 8 pages, 2-column UJP style, based on talk at the internat. conf. "Quantum Groups and Guantum Integrable systems" (June 18-21, 2013, Kiev, Ukraine)
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1311.3528 Zobrazit plný text záznamu View this record from Arxiv