We use the general N=1 supersymmetric formulation of one dimensional sigma models on nontrivial 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 is accommodated with the general covariance and it is used to integrate the corresponding system.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics