Identification of the twisting function for the dynamic Schr\"odinger operator in a quantum waveguide

TL;DR

This paper investigates the inverse problem of identifying the twisting function in a quantum waveguide's dynamic Schrödinger operator using localized interior or boundary data.

Contribution

It introduces a method to determine the twisting function from partial measurements, advancing inverse problem techniques in quantum waveguides.

Findings

Successful reconstruction of the twisting function from boundary data

Establishment of uniqueness and stability results for the inverse problem

Extension of inverse problem methods to dynamic Schrödinger operators in waveguides

Abstract

In this paper we examine the inverse problem of determining the twisting function for the dynamicSchrodinger operator in a quantum waveguide from some suitable localized, either interior or boundary.