# Multi-well log-anharmonic oscillators

## TL;DR

This paper explores a quantum model with multiple minima using a modified large-N expansion, providing insights into quantum localization phenomena and potential simulation of relocalization quantum catastrophes.

## Contribution

It introduces a solvable multi-well potential model with logarithmic barriers and applies a modified large-N expansion to analyze bound states.

## Key findings

- Successful application of large-N expansion to multi-well potentials
- Demonstration of quantum relocalization phenomena
- Potential for simulating quantum catastrophes

## 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.