Is the Space-Time Non-Commutativity Simply Non-Commutativity of Derivatives?

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Recently, some problems have been found in the definition of the partial derivative in the case of the presence of both explicit and implicit functional dependencies in the classical analysis. In this talk we investigate the influence of this observation on the quantum mechanics and classical/quantum field theory. Surprisingly, some commutators of the coordinate-dependent operators are not equal to zero. Therefore, we try to provide mathematical foundations to the modern non-commutative theories. We also indicate possible applications in the Dirac-like theories.
8pp., no figures. Talk presented at the 8th International Conference on Squeezed States and Uncertainty Relations (ICSSUR'2003), Puebla, Pue., México, June 9-13, 2003

Keywords

Mathematical Physics, Classical Analysis and ODEs

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/57472

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0308017
 http://arxiv.org/abs/math-ph/0308017
 Proceedings of the 8th International Conference on Squeezed States and Uncertainty Relations. Puebla, Mexico. Eds. H. Moya-Cessa et al. Rinton Press, 2003, p. 125-130

Collections

arXiv