Reverse Lieb-Thirring inequality for the half-line matrix Schr\"odinger operator

TL;DR

This paper establishes a reverse Lieb-Thirring inequality with a sharp constant for the matrix Schrödinger operator on the half-line, advancing understanding of spectral bounds in quantum mechanics.

Contribution

It introduces a novel reverse inequality with optimal constants for matrix Schrödinger operators on the half-line, filling a gap in spectral theory.

Findings

Proved a reverse Lieb-Thirring inequality with sharp constant.

Extended spectral bounds to matrix Schrödinger operators on the half-line.

Provided new insights into spectral inequalities in quantum physics.

Abstract

We prove a reverse Lieb-Thirring inequality with a sharp constant for the matrix Schr\"odinger equation on the half-line.