A new model for the double well potential

TL;DR

The paper introduces a novel double well potential model that simplifies calculating exchange rates using perturbation methods in supersymmetric quantum mechanics, applicable to various barrier heights.

Contribution

It presents a new double well potential model that allows easy calculation of exchange rates with perturbation methods, improving on existing models.

Findings

Accurately computes exchange rates for high and shallow barriers.

Uses supersymmetric quantum mechanics for analytical simplicity.

Demonstrates broad applicability of the new potential model.

Abstract

A new model for the double well potential is presented in the paper. In the new potential, the exchanging rate could be easily calculated by the perturbation method in supersymmetric quantum mechanics. It gives good results whether the barrier is high or sallow. The new model have many merits and may be used in the double well problem.