Factorization method and the supersymmetric monopole harmonics

Abstract

We use the general $N=1$ supersymmetric formulation of one dimensional sigma models on non trivial manifolds and its subsequent quantization to formulate the classical and quantum dynamics of the $N=2$ supersymmetric charged particle moving on a sphere in the field of a monopole. The factorization method accommodated with the general covariance and it is used to integrate the corresponding system.

18 pages, latex209, no figures

References in corpus (3)

• Quantum Hall Effect in Higher Dimensions
• Nonlinear Holomorphic Supersymmetry on Riemann Surfaces
• Supersymmetry-based Approach to Quantum Particle Dynamics

Cited by in corpus (4)

• Dirac Operator on Complex Manifolds and Supersymmetric Quantum Mechanics
• A surprise in mechanics with nonlinear chiral supermultiplet
• Generalized N = 2 Super Landau Models
• Oscillator Calculus on Coadjoint Orbits and Index Theorems