Factorization method and the supersymmetric monopole harmonics
classification
✦ hep-th
quant-ph
keywords
supersymmetricfactorizationgeneralmethodmonopoleaccommodatedchargedclassical
read the original 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.
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