1 research outputs found
Comprehensive analysis of conditionally exactly solvable models
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 is always 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.Comment: 19 pp, 1 fig., to appear in J. Math. Phys.
http://ojps.aip.org/journals/doc/JMAPAQ-home/top.js