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arXiv · hep-th/0112120

Supersymmetry-based Approach to Quantum Particle Dynamics

Seok Kim·Choonkyu Lee
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Abstract

We present the N=2 supersymmetric formulation for the classical and quantum dynamics of a nonrelativistic charged particle on a curved surface in the presence of a perpendicular magnetic field. For a particle moving on a constant-curvature surface in a constant magnetic field, our Hamiltonian possesses the shape-invariance property in addition. On the surface of a sphere and also on the hyperbolic plane, we exploit the supersymmetry and shape-invariance properties to obtain complete solutions to the corresponding quantum mechanical problems.

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Seok Kim, Choonkyu Lee. 2001-12-14. Supersymmetry-based Approach to Quantum Particle Dynamics. https://doi.org/10.1006/aphy.2002.6224

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