✦ LIBER ✦
Supersymmetry-Based Approach to Quantum Particle Dynamics on a Curved Surface with Non-zero Magnetic Field
✍ Scribed by Seok Kim; Choonkyu Lee
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 145 KB
- Volume
- 296
- Category
- Article
- ISSN
- 0003-4916
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✦ Synopsis
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.