# 1-dimensional Schrodinger operators with complex potentials

## TL;DR

This paper analyzes 1-dimensional Schrödinger operators with complex, locally integrable potentials, focusing on their behavior at endpoints using Green's operators as a primary analytical tool.

## Contribution

It introduces a framework for studying Schrödinger operators with complex potentials at various endpoints via Green's operators, extending existing methods.

## Key findings

- Green's operators serve as effective right inverses for analysis.
- The approach handles arbitrary endpoint behaviors.
- Provides new insights into complex potential Schrödinger operators.

## Abstract

We discuss 1-dimensional Schrodinger operators with complex and locally integrable potentials that may have an arbitrary behavior at (finite or infinite) endpoints. The main tool of our analysis are Green's operators, that is, their various right inverses.