2001/12/14 by Seok Kim, Choonkyu Lee
Physics and Astronomy · #Charged particle #Hamiltonian (control theory) #Magnetic field #Perpendicular #Quantization (signal processing) #Quantum #Quantum Mechanics and Non-Hermitian Physics #Quantum and Classical Electrodynamics #Quantum chaos and dynamical systems #Quantum dynamics #Quantum particle #Surface (topology) #hep-th
paper · pdf · doi:10.1006/aphy.2002.6224
published as Annals Phys. 296 (2002) 390-405 · revtex, 24pages, no figure
arxiv created 2001/12/14 · openalex publication_date 2002/03/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.