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2010

Noncommutativity due to spin

Gomes, M., Kupriyanov, V. G., da Silva, A. J.

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Using the Berezin-Marinov pseudoclassical formulation of spin particle we propose a classical model of spin noncommutativity.

In the nonrelativistic case, the Poisson brackets between the coordinates are proportional to the spin angular momentum.
The quantization of the model leads to the noncommutativity with mixed spacial and spin degrees of freedom.
A modified Pauli equation, describing a spin half particle in an external e.m.

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M. Gomes, V.G. Kupriyanov, A.J. da Silva, Dynamical noncommutativity, arXiv:0908.2963 [hep-th]

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