Resonant states in double and triple quantum wells

TL;DR

This paper investigates all types of resonant states in double and triple quantum wells modeled by delta potentials, analyzing their transformations and impact on quantum transmission.

Contribution

It provides a comprehensive analysis of resonant states, including bound, anti-bound, and normal resonant states, in multi-well structures with delta function potentials.

Findings

Classified resonant states and their transitions.

Analyzed the role of each subgroup in quantum transmission.

Revisited bound states in delta-like potentials.

Abstract

The full set of resonant states in double and triple quantum well/barrier structures is investigated. This includes bound, anti-bound and normal resonant states which are all eigensolutions of Schrodinger's equation with generalized outgoing wave boundary conditions. The transformation of resonant states and their transitions between different subgroups as well as the role of each subgroup in observables, such as the quantum transmission, is analyzed. The quantum well potentials are modeled by Dirac delta functions; therefore, as part of this study, the well-known problem of bound states in delta-like potentials is also revisited.