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

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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.
34 pages with 4 black&white eps figures. v2: Reference corrected and a reference added. Figure files are significantly smaller; colour figures are included with the source (use \colorfigtrue). v3: Reference added

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