The conditionally exactly solvable potentials: A misunderstanding (comment on "Conditionally exactly soluble class of quantum potentials")

Abstract

In the paper "Conditionally exactly soluble class of quantum potentials" by A. de Souza Dutra [Phys. Rev. A 47 (1993) R2435] the whole $s-$wave spectrum of bound states in potentials $V_1(r)=A/r+B/r^{1/2}+G_0/r^2$ with $G_0=-3\hslash /32\mu$ and $V_2(r)=A{r}^{2/3}+B/r^{2/3}+g_0/r^2$ with $g_0=-5{\hslash }^2/72\mu$ has been constructed in closed form. We show that both the result and the method of its derivation are not correct.

extended and published version

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