PT-invariant one-dimensional Coulomb problem
Quantum Physics
2007-05-23 v1
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.
Cite
@article{arxiv.quant-ph/0207132,
title = {PT-invariant one-dimensional Coulomb problem},
author = {Anjana Sinha and Rajkumar Roychoudhury},
journal= {arXiv preprint arXiv:quant-ph/0207132},
year = {2007}
}
Comments
10 pages