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Infinitedimensional representations of the rotation group and Dirac's monopole problem  Alexander I. Nesterov
; Fermin Aceves de la Cruz
;  Date: 
4 Mar 2005  Subject:  High Energy Physics  Theory; Mesoscopic Systems and Quantum Hall Effect; Mathematical Physics; Representation Theory  hepth condmat.meshall mathph math.MP math.RT quantph  Abstract:  Within the context of infinitedimensional representations of the rotation group the Dirac monopole problem is studied in details. Irreducible infinitedimensional representations, being realized in the indefinite metric Hilbert space, are given by linear unbounded operators in infinitedimensional topological spaces, supplied with a weak topology and associated weak convergence. We argue that an arbitrary magnetic charge is allowed, and the Dirac quantization condition can be replaced by a generalized quantization rule yielding a new quantum number, the socalled topological spin, which is related to the weight of the Dirac string.  Source:  arXiv, hepth/0503040  Services:  Forum  Review  PDF  Favorites 


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