Mechanics and Quantum Supermechanics of a Monopole Probe Including a Coulomb Potential

TL;DR

This paper provides an exact analysis of the classical and quantum mechanics of a supersymmetric D-particle probe in a D6-brane background, revealing detailed spectra and trajectories.

Contribution

It introduces an exactly solvable supersymmetric Lagrangian for D-particle probes, including Coulomb potential effects, and analyzes classical and quantum solutions.

Findings

Exact quantum spectrum and wavefunctions obtained.

Classical trajectories characterized in the bosonic theory.

Bound and unbound states explicitly described.

Abstract

A supersymmetric Lagrangian used to study D-particle probes in a D6-brane background is exactly soluble. We present an analysis of the classical and quantum mechanics of this theory, including classical trajectories in the bosonic theory, and the exact quantum spectrum and wavefunctions, including both bound and unbound states.