The dynamic electric polarizability of a particle bound by a double delta potential

TL;DR

This paper derives formulas for the dynamic electric polarizability of a particle in a double delta potential, exploring its fundamental properties and extending to multi-delta potentials, relevant for understanding real quantum systems.

Contribution

It provides a new analytical expression for the dynamic electric polarizability of a double delta potential and generalizes it to multi-delta potentials, advancing theoretical understanding.

Findings

Derived explicit formulas for polarizability below and above ground state energy

Extended the model to multi-delta potential systems

Facilitated analysis of fundamental features of quantum bound states

Abstract

In this paper we derive an expression for the dynamic electric polarizability of a particle bound by a double delta potential for frequencies below and above the absolute value of the particle's ground state energy. The derived expression will be used to study some of the fundamental features of the system and its representation of real systems. In addition we derive a general expression of the dynamic electric polarizability for a potential of multi-delta functions.