The nonrelativistic frequency dependent electric polarizability of a bound particle

TL;DR

This paper calculates the frequency-dependent electric polarizability of a particle bound by a one-dimensional delta potential using perturbation theory, providing insights into its behavior and comparing with existing studies.

Contribution

It introduces a perturbation-based method to analyze the frequency-dependent polarizability of a delta-bound particle, extending previous theoretical work.

Findings

Derived explicit expression for polarizability

Compared results with existing literature

Enhanced understanding of bound particle response

Abstract

In this work, we will calculate and analyze the frequency dependent electric polarizability of a particle which is bound by a one-dimensional delta potential. A perturbation technique based on the work by Nozieres will be employed to calculate our expression. Comparison will be made with references which have discussed work comparable to ours.