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arxiv: hep-th/0109002 · v1 · submitted 2001-09-01 · ✦ hep-th · quant-ph

Factorization method and the supersymmetric monopole harmonics

classification ✦ hep-th quant-ph
keywords supersymmetricfactorizationgeneralmethodmonopoleaccommodatedchargedclassical
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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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