On the uncertainty relations for an electron in a constant magnetic field
Quantum Physics
2012-08-01 v1
Abstract
We discuss the uncertainty relation for the azimuthal angle and the -component of the angular momentum . To this end we derive the uncertainty relation for an arbitrary pair of observables and discuss the conditions for its validity. By means of a simple parameter-dependent state we illustrate the well known fact that the standard uncertainty relation for the coordinate and its conjugate momentum does not apply the pair of observables . This analysis is motivated by a discussion of the motion of an electron in a constant magnetic field appeared recently in this journal (Eur. J. Phys. \textbf{33} (2012) 1147) where the author assumed the validity of the standard uncertainty relation for the pair .
Keywords
Cite
@article{arxiv.1207.7069,
title = {On the uncertainty relations for an electron in a constant magnetic field},
author = {Francisco M. Fernández},
journal= {arXiv preprint arXiv:1207.7069},
year = {2012}
}