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PT-invariant one-dimensional Coulomb problem

Anjana Sinha·Rajkumar Roychoudhury
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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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Anjana Sinha, Rajkumar Roychoudhury. 2002-07-23. PT-invariant one-dimensional Coulomb problem. https://arxiv.org/abs/quant-ph/0207132

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