Scattering and bound states by localized potentials

TL;DR

This paper introduces a unified formalism for analyzing quantum scattering and bound states in symmetric, localized potentials, demonstrated through square barrier and well examples.

Contribution

It presents a simple, unified approach to study quantum scattering and bound states in symmetric localized potentials.

Findings

Effective formalism for symmetric potentials

Application to square barrier and well potentials

Unified treatment of scattering and bound states

Abstract

A simple formalism for exploring quantum scattering and possible bound states in an arbitrary symmetric and localized potential in a unified way is presented. The symmetric square barrier and well potentials are used for illustrating the method.