The Coulomb - harmonic oscillator correspondence in PT-symmetric quantum mechanics
Quantum Physics
2009-11-06 v1
Abstract
We show that and how the Coulomb potential can be regularized and solved exactly at the imaginary couplings. The new spectrum of energies is real and bounded as expected, but its explicit form proves totally different from the usual real-coupling case.
Keywords
Cite
@article{arxiv.quant-ph/0003081,
title = {The Coulomb - harmonic oscillator correspondence in PT-symmetric quantum mechanics},
author = {M. Znojil and G. Levai},
journal= {arXiv preprint arXiv:quant-ph/0003081},
year = {2009}
}
Comments
Latex, 11 pages, 3 figures, submitted to Phys. Lett. A