PT -symmetric harmonic oscillators
Quantum Physics
2009-10-31 v1
Abstract
Within the framework of the recently proposed formalism using non-hermitean Hamiltonians constrained merely by their PT invariance we describe a new exactly solvable family of the harmonic-oscillator-like potentials with non-equidistant spectrum. Our one-dimensional superposition of the harmonic x^2 with the centrifugal-like G/x^2 is regularized by a purely imaginary shift of .
Cite
@article{arxiv.quant-ph/9905020,
title = {PT -symmetric harmonic oscillators},
author = {Miloslav Znojil},
journal= {arXiv preprint arXiv:quant-ph/9905020},
year = {2009}
}
Comments
9 pages, submitted to Phys. Lett. A