Journal of Physical Studies 11(1), 41–44 (2007)
FIELD EQUATION IN A DEFORMED SPACE WITH MINIMAL LENGTH
V. M. Tkachuk
Department for Theoretical Physics, Ivan Franko National University of
We consider one of the possibilities for constructing equations for electrodynamics and Dirac equation in space with deformed Poincaré covariant Heisenberg algebra. It is of interest to note that the obtained equations for the electromagnetic field coincide with those of generalized electrodynamics with higher derivatives. We also studied free motion of a relativistic electron in the deformed space and found that the energy spectrum in linear approximation over parameters of deformation is similar to the non-deformed one but with effective mass. The estimation shows that effective mass caused by deformation is very close to bare mass in the non-deformed case.
PACS number(s): 02.40.Gh, 03.65.Pm