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arXiv · 0910.1341

Gauge invariance and classical dynamics of noncommutative particle theory

D. M. Gitman·V. G. Kupriyanov
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Abstract

We consider a model of classical noncommutative particle in an external electromagnetic field. For this model, we prove the existence of generalized gauge transformations. Classical dynamics in Hamiltonian and Lagrangian form is discussed, in particular, the motion in the constant magnetic field is studied in detail.

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D. M. Gitman, V. G. Kupriyanov. 2009-10-07. Gauge invariance and classical dynamics of noncommutative particle theory. https://doi.org/10.1063/1.3299296

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