Some remarks on Schr{\"o}dinger operators

TL;DR

This paper discusses a mathematical problem involving Schrödinger operators, focusing on the transformation of a model through a potential function and the conditions for such transformations.

Contribution

It introduces a new approach to analyze transformations of Schrödinger operators with specific potential functions.

Findings

Established conditions for the existence of the movement U

Derived relations between the mixed model and potential

Provided insights into the structure of Schrödinger operators

Abstract

The problem we consider is given a mixed model $F(\gamma) \rightarrow \gamma \rightarrow \tilde{\gamma}$ and a potential $\widehat{V}$ such that $\log \widehat{V} \in L^{1}$, to determine a movement $U$ such that $F(U \gamma)=F(\gamma) + \widehat{V}$.