Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1999-06-03
Int.J.Theor.Phys. 38 (1999) 2349-2369
Physics
High Energy Physics
High Energy Physics - Phenomenology
14 pages, RevTex. To appear in Int. J. Theor. Phys
Scientific paper
We discuss the variational principle within Quantum Mechanics in terms of the noncommutative even Space Time sub-Algebra, the Clifford $\Ra$-algebra $Cl_{1,3}^+$. A fundamental ingredient, in our multivectorial algebraic formulation, is the adoption of a $\D $-complex geometry, $\D \equiv span_{\RR} \{1,\gamma_{21} \}$, $\gamma_{21} \in Cl_{1,3}^+$. We derive the Lagrangian for the Dirac-Hestenes equation and show that such Lagrangian must be mapped on $\D \otimes {\cal F}$, where $\cal F$ denotes an $\Ra$-algebra of functions.
Leo Stefano de
Oziewicz Zbigniew
Rodrigues WA
Vaz Jayme
No associations
LandOfFree
The Dirac-Hestenes Lagrangian does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Dirac-Hestenes Lagrangian, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Dirac-Hestenes Lagrangian will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-126911