Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-12-14
Annals Phys. 296 (2002) 390-405
Physics
High Energy Physics
High Energy Physics - Theory
revtex, 24pages, no figure
Scientific paper
10.1006/aphy.2002.6224
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.
Kim Seok
Lee Choonkyu
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