%0 Journal Article %T Factorization method and the supersymmetric monopole harmonics %A G. Andrei Mezincescu %A Luca Mezincescu %J Mathematics %D 2001 %I arXiv %R 10.1063/1.1586476 %X 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. %U http://arxiv.org/abs/hep-th/0109002v1