Fundamental solutions for Schrodinger operators with general inverse square potentials

TL;DR

This paper classifies fundamental solutions for a broad class of Schrödinger operators with inverse square potentials, providing a comprehensive understanding of their behavior and properties.

Contribution

It introduces a general classification framework for fundamental solutions of Schrödinger operators with inverse square potentials, extending previous specific cases.

Findings

Complete classification of fundamental solutions

Identification of conditions for existence and uniqueness

Insights into the structure of solutions for inverse square potentials

Abstract

In this paper, we classify the fundamental solutions for a class of Schrodinger operators.