The Wigner problem in electrodynamics

Authors : Andrzej HORZELA

Pages : 903-910

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :The relation between canonical commutation rules and a shape of acting force is analysed. It is shown that canonical commutation relations and Newtonian equations of motion for a single particle dynamics do imply the force to be of the Lorentz type but the inverse is not true. The example of a single particle motion in a constant magnetic field shows that equations of motion allow an alternative to canonical commutation relations to exist and it is a Lie algebra. The algebra found is of the type of algebras found in studies leading towards noncommutative geometry approaches to physical problems.
Keywords : Turk J Phys, 23, 1999, , 903 910 Turk J Phys, vol 23, iss 5