The Quaternionic Dirac Lagrangian
高能物理 - 理论
2015-06-26 v1
摘要
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.
引用
@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}
}
备注
LaTex (9 pages)