Three-cocycles, Nonassociative Gauge Transformations and Dirac’s Monopole
نویسنده
چکیده
In 1931 Dirac [1] introduced a magnetic monopole into the quantum mechanics and found a quantization relation between an electric charge e and magnetic charge q, 2μ = n, n ∈ Z, where μ = eq, and ~ = c = 1. One of the widely accepted proofs of the Dirac selection rule is based on group representation theory (see, for example, [2, 3, 4, 5, 6]). In the presence of the magnetic monopole the operator of the total angular momentum J, which uncludes contribution of the electromagnetic field, obeys the standard commutation relations of the Lie algebra of the rotation group
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