SOME CONSEQUENCES OF A GENERALIZATION TO
HEISENBERG ALGEBRA IN QUANTUM ELECTRODYNAMICS
This essay received an "honorable mention" in the
2003 Essay Competition of the Gravity Research Foundation.
Author(s):
A. CAMACHO Department of Physics,
Universidad Autónoma Metropolitana-Iztapalapa,
P.O. Box 55-534, C.P. 09340, México, D.F., Mexico
History:
Received 13 May 2003
Abstract:
In this essay it will be shown that the introduction of a
modification to Heisenberg algebra (here this feature means
the existence of a minimal observable length), as a fundamental
part of the quantization process of the electrodynamical field,
renders states in which the uncertainties in the two quadrature
components violate the usual Heisenberg uncertainty relation.
Hence in this context it may be asserted that any physically
realistic generalization of the uncertainty principle must include,
not only a minimal observable length, but also a minimal
observable momentum.
