Generalized Bundle Quantum Mechanics
Mathematical Physics
2007-05-23 v1 Differential Geometry
math.MP
Abstract
This work has the purpose of applying the concept of Geometric Calculus (Clifford Algebras) to the Fibre Bundle description of Quantum Mechanics. Thus, it is intended to generalize that formulation to curved spacetimes [the base space of the fibre bundle in question] in a more natural way. It starts off with a review of the mathematical tools needed and then moves on to build the objects necessary.
Cite
@article{arxiv.math-ph/0308004,
title = {Generalized Bundle Quantum Mechanics},
author = {Daniel D. Ferrante},
journal= {arXiv preprint arXiv:math-ph/0308004},
year = {2007}
}
Comments
19 pages, LaTeX2e & AMSLaTeX. To appear in 'Progress in Quantum Physics Research', Nova Science Publ., New York. For more information, take a look at http://olympus.het.brown.edu/chep/