Turkish Journal of Physics
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.
DOI
-
First Page
903
Last Page
910
Recommended Citation
HORZELA, ANDRZEJ (1999) "The Wigner problem in electrodynamics," Turkish Journal of Physics: Vol. 23: No. 5, Article 11. Available at: https://journals.tubitak.gov.tr/physics/vol23/iss5/11
