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Geometric Calculus and the Fibre Bundle description of Quantum Mechanics

2002/04/10 by Daniel D. Ferrante, Ferrante, Daniel D.
Mathematics · Physics and Astronomy · #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Physics (quant-ph) #hep-th #math-ph #math.DG #math.MP #quant-ph

paper · pdf · doi:10.48550/arxiv.math-ph/0204024

13 pages, Latex, AMS-LaTeX v2.13 used. For more info, check http://olympus.het.brown.edu/~danieldf

arxiv created 2002/04/10 · arxiv updated 2009/11/30

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.

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