A Note on Non-commutativity
Mathematical Physics
2018-11-05 v4 High Energy Physics - Phenomenology
High Energy Physics - Theory
Classical Analysis and ODEs
math.MP
Classical Physics
Abstract
Ambiguities have recently been found in the definition of the partial derivative (in the case of presence of both explicit and implicit dependencies of the function subjected to differentiation). We investigate the possible influence of this subject on quantum mechanics and the classical/quantum field theory. Surprisingly, some commutators of operators of space-time 4-coordinates and those of 4-momenta are not equal to zero. Notes added in the Abstract: Two iterated limits are not equal each other, in general. Thus, we present an example when the massless limit of the function of E, p, m does not exist in some calculations within quantum field theory.
Cite
@article{arxiv.math-ph/0204043,
title = {A Note on Non-commutativity},
author = {Valeri V. Dvoeglazov},
journal= {arXiv preprint arXiv:math-ph/0204043},
year = {2018}
}
Comments
7pp., no figures, note added in the abstract and text, accepted