The N = 1 Supersymmetric Wong Equations and the Non-Abelian Landau Problem

Abstract

A Lagrangian formulation is given extending to N = 1 supersymmetry the motion of a charged point particle with spin in a non-abelian external field. The classical formulation is constructed for any external static non-abelian SU(N) gauge potential. As an illustration, a specific gauge is fixed enabling canonical quantization and the study of the supersymmetric non-abelian Landau problem. The spectrum of the quantum Hamiltonian operator follows in accordance with the supersymmetric structure.

10 pages

References in corpus (8)

• Supersymmetric Calogero models by gauging
• Superconformal mechanics
• Non-abelian anyons from degenerate Landau levels of ultracold atoms in artificial gauge potentials
• OSp(4|2) Superconformal Mechanics
• Particles in non-Abelian gauge potentials - Landau problem and insertion of non-Abelian flux
• Ultracold atoms in U(2) non-Abelian gauge potentials preserving the Landau levels
• Fractional quantum Hall effect in a U(1)xSU(2) gauge field
• N=4, 3D Supersymmetric Quantum Mechanics in Non-Abelian Monopole Background