An inverse spectral problem for a fractional Schr\"odinger operator

TL;DR

This paper proves that the potential in a fractional Schr"odinger operator can be uniquely identified using internal spectral data, advancing inverse spectral theory for fractional quantum systems.

Contribution

It introduces a novel uniqueness result linking internal spectral data to the potential in fractional Schr"odinger operators.

Findings

Potential is uniquely determined by spectral data

Advances inverse spectral theory for fractional operators

Provides a new method for potential reconstruction

Abstract

We establish that the potential appearing in a fractional Schr\"odinger operator is uniquely determined by an internal spectral data.