Bound States at Threshold in Supersymmetric Quantum Mechanics

TL;DR

This paper introduces a general method for detecting normalizable ground states in supersymmetric quantum mechanics, demonstrating its effectiveness by identifying bound states at threshold in systems related to H-monopoles and D0 branes.

Contribution

The paper presents a novel method for identifying bound states at threshold in supersymmetric quantum systems with non-Fredholm spectra, applied to H-monopoles and D0 branes.

Findings

Existence of bound states at threshold in H-monopoles system.

Existence of bound states at threshold in D0 branes system.

Method applicable to other supersymmetric quantum systems.

Abstract

We propose a general method that allows to detect the existence of normalizable ground states in supersymmetric quantum mechanical systems with non-Fredholm spectrum. We apply our method to show the existence of bound states at threshold in two important cases: 1) the quantum mechanical system describing H-monopoles; 2) the quantum mechanics of D0 branes.