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Charged Particles in Monopole Background on Fuzzy Sphere

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Abstract

In this note we study the quantum mechanics of a charged particle on fuzzy sphere and in the presence of magnetic monopoles. We discuss the proper inclusion of the electromagnetic interaction in the Hamiltonian through the covariant form of the momentum operator. We consider two different kinds of monopoles. The first one is associated with projective modules and obtained from the corresponding projector. The second one we obtain by solving directly the noncommutative Maxwell equations over the fuzzy sphere. Among these, are the monopole connections for which the Hamiltonian operator can be diagonalized in an algebraic way.

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  1. Department of Physics, School of Sciences, Tarbiat Modares University, P.O. Box 14155-4838, Tehran, Iran

    Ali Imaanpur

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  1. Ali Imaanpur
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Correspondence to Ali Imaanpur.

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Imaanpur, A. Charged Particles in Monopole Background on Fuzzy Sphere. Lett Math Phys 80, 273–283 (2007). https://doi.org/10.1007/s11005-007-0161-3

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  • DOI: https://doi.org/10.1007/s11005-007-0161-3

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