dorsal/arxiv
View SchemaPT-invariant one-dimensional Coulomb problem
| Authors | Anjana Sinha, Rajkumar Roychoudhury |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0207132 |
| URL | https://arxiv.org/abs/quant-ph/0207132 |
Abstract
The one-dimensional Coulomb-like potential with a real coupling constant beta, and a centrifugal-like core of strength G = alpha^2 - {1/4}, viz. V(x) = {alpha^2 - (1/4)}/{(x-ic)^2} + beta/|x-ic|, is discussed in the framework of PT-symmetry. The PT-invariant exactly solvable model so formed, is found to admit a double set of real and discrete energies, numbered by a quasi-parity q = +/- 1.
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"abstract": "The one-dimensional Coulomb-like potential with a real coupling constant\nbeta, and a centrifugal-like core of strength G = alpha^2 - {1/4}, viz. V(x) =\n{alpha^2 - (1/4)}/{(x-ic)^2} + beta/|x-ic|, is discussed in the framework of\nPT-symmetry. The PT-invariant exactly solvable model so formed, is found to\nadmit a double set of real and discrete energies, numbered by a quasi-parity q\n= +/- 1.",
"arxiv_id": "quant-ph/0207132",
"authors": [
"Anjana Sinha",
"Rajkumar Roychoudhury"
],
"categories": [
"quant-ph"
],
"title": "PT-invariant one-dimensional Coulomb problem",
"url": "https://arxiv.org/abs/quant-ph/0207132"
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