Multi-well log-anharmonic oscillators
Quantum Physics
2019-04-15 v1 Mathematical Physics
math.MP
Abstract
Quantum particle is considered confined in a toy-model potential possessing multiple minima. For the specific choice of the family of potentials (in the form of harmonic oscillator plus several logarithmic infinitely high but penetrable barriers), a facilitated tractability of the related bound-state problem is achieved by the use of the (slightly modified) large-N expansion technique. The phenomenological appeal of the possibility of simulation of a certain `relocalization' quantum catastrophe is emphasized.
Keywords
Cite
@article{arxiv.1901.02238,
title = {Multi-well log-anharmonic oscillators},
author = {Miloslav Znojil and František Růžička},
journal= {arXiv preprint arXiv:1901.02238},
year = {2019}
}
Comments
13 pp., 2 figures