Creation of higher-energy superposition quantum states motivated by geometric transformations

TL;DR

This paper proposes a method to generate higher-energy superposition states in quantum wells, inspired by geometric transformation convergence results, potentially advancing quantum state manipulation techniques.

Contribution

It introduces a novel approach linking geometric transformations of polygons to quantum state superpositions in circular systems.

Findings

Demonstrates a theoretical framework for higher-energy superposition states.

Connects geometric transformation convergence to quantum state engineering.

Provides insights into quantum control using geometric analogies.

Abstract

We suggest a way to produce higher-energy superposition states in a circular system of quantum wells. This is inspired by a link to convergence results for geometric transformations of polygons using circulant Hermitian matrices.