0185293 - UJF-V 20010020 RIV US eng J - Článek v odborném periodiku
Roychoudhury, R. - Roy, P. - Znojil, Miloslav - Levai, G.
Comprehensive analysis of conditionally exactly solvable models.
Journal of Mathematical Physics. Roč. 42, č. 5 (2001), s. 1996-2007. ISSN 0022-2488. E-ISSN 1089-7658
Grant CEP: GA AV ČR IAA1048004; GA AV ČR KSK1010104
Kód oboru RIV: BE - Teoretická fyzika
Impakt faktor: 1.151, rok: 2001

We study a quantum mechanical potential introduced previously as a conditionally exactly solvable (CES) model. Besides an analysis following its original introduction in terms of the point canonical transformation, we also present an alternative supersymmetric construction of it. We demonstrate that from the three roots of the implicit cubic equation defining the bound-state energy eigenvalues, there isalways only one that leads to a meaningful physical state.Finally we demonstrate that the present CES interaction is,in fact, an exactly solvable Natanzon-class potential.
Trvalý link: http://hdl.handle.net/11104/0081700