Coulomb corrections to two-particle interaction in artificial traps

TL;DR

This paper investigates how Coulomb interactions influence the dynamics of two particles in artificial traps, proposing a non-perturbative method to incorporate these effects into quantization conditions, with some cases allowing closed-form solutions.

Contribution

It introduces a general non-perturbative approach to include Coulomb corrections in the quantization of trapped two-particle systems, extending beyond numerical and perturbative methods.

Findings

Coulomb corrections significantly affect two-particle trap dynamics.

Closed-form quantization conditions are derived for spherical hard wall traps.

The approach provides a framework for non-perturbative Coulomb correction analysis.

Abstract

In present work, we discuss the effect of Coulomb interaction to the dynamics of two-particle system bound in various traps. The strategy of including Coulomb interaction into the quantization condition of trapped system is discussed in a general and non-perturbative manner. In most cases, Coulomb corrections to quantization condition largely rely on numerical approach or perturbation expansion. Only for some special cases, such as the spherical hard wall trap, a closed-form of quantization condition with all orders of Coulomb corrections can be obtained.