The Quaternionic Dirac Lagrangian

Details The Quaternionic Dirac Lagrangian The Quaternionic Dirac Lagrangian

1995-09-11

arxiv.org/abs/hep-th/9509059v1

Mod.Phys.Lett. A11 (1996) 357-366

Physics

High Energy Physics

High Energy Physics - Theory

LaTex (9 pages)

Scientific paper

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.

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