Multi-well log-anharmonic oscillators
arXiv:1901.02238 · doi:10.1142/S0217732319500858
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.
13 pp., 2 figures
References in corpus (7)
- Making Sense of Non-Hermitian Hamiltonians
- Pseudo-Hermitian Representation of Quantum Mechanics
- PT -symmetric harmonic oscillators
- Quantum catastrophes: a case study
- The minimally anisotropic metric operator in quasi-Hermitian quantum mechanics
- Exactly solvable three-body Calogero-type model with translucent two-body barriers
- Log-anharmonic oscillator and its large-N solution