dorsal/arxiv
View SchemaThe conditionally exactly solvable potentials: A misunderstanding (comment on "Conditionally exactly soluble class of quantum potentials")
| Authors | Miloslav Znojil |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9811088 |
| URL | https://arxiv.org/abs/quant-ph/9811088 |
| DOI | 10.1103/PhysRevA.61.066101 |
| Journal | Phys.Rev. A61 (2000) 066101 |
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 $G_0=-3\hbar/32\mu$ and $V_2(r)=A r^{2/3}+B/r^{2/3}+g_0/r^2$ with $g_0=-5\hbar^2/72\mu$ has been constructed in closed form. We show that both the result and the method of its derivation are not correct.
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"abstract": "In the paper \"Conditionally exactly soluble class of quantum potentials\" by\nA. de Souza Dutra [Phys. Rev. A 47 (1993) R2435] the whole $s-$wave spectrum of\nbound states in potentials $V_1(r)=A/r+B/r^{1/2}+G_0/r^2$ with\n$G_0=-3\\hbar/32\\mu$ and $V_2(r)=A r^{2/3}+B/r^{2/3}+g_0/r^2$ with\n$g_0=-5\\hbar^2/72\\mu$ has been constructed in closed form. We show that both\nthe result and the method of its derivation are not correct.",
"arxiv_id": "quant-ph/9811088",
"authors": [
"Miloslav Znojil"
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"doi": "10.1103/PhysRevA.61.066101",
"journal_ref": "Phys.Rev. A61 (2000) 066101",
"title": "The conditionally exactly solvable potentials: A misunderstanding (comment on \"Conditionally exactly soluble class of quantum potentials\")",
"url": "https://arxiv.org/abs/quant-ph/9811088"
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