English

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 xx.

Keywords

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