The Quaternionic Dirac Lagrangian
High Energy Physics - Theory
2015-06-26 v1
Abstract
We discuss the use of the variational principle within quaternionic quantum mechanics. This is non-trivial because of the non commutative nature of quaternions. We derive the Dirac Lagrangian density corresponding to the two-component Dirac equation. This Lagrangian is complex projected as anticipated in previous articles and this feature is necessary even for a classical real Lagrangian.
Cite
@article{arxiv.hep-th/9509059,
title = {The Quaternionic Dirac Lagrangian},
author = {Stefano De Leo and Pietro Rotelli},
journal= {arXiv preprint arXiv:hep-th/9509059},
year = {2015}
}
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