We perform a one-dimensional complexified quaternionic version of the Dirac equation based on $i$ -complex geometry. The problem of the missing complex parameters in Quaternionic Quantum Mechanics with $i$ -complex geometry is overcome by a nice ``trick'' which allows to avoid the Dirac algebra constraints in formulating our relativistic equation. A brief comparison with other quaternionic formulations is also presented.We perform a one-dimensional complexified quaternionic version of the Dirac equation based on $i$-complex geometry. The problem of the missing complex parameters in Quaternionic Quantum Mechanics with $i$-complex geometry is overcome by a nice ``trick'' which allows to avoid the Dirac algebra constraints in formulating our relativistic equation. A brief comparison with other quaternionic formulations is also presented.

arXiv:hep-th/9806057Jun 6, 19984 citations

Remarks on quaternion quantum mechanics

František Jenč

Czechoslovak Journal of PhysicsJul 1, 19663 citations

We perform a one-dimensional complexified quaternionic version of the Dirac equation based on

i

-complex geometry. The problem of the missing complex parameters in Quaternionic Quantum Mechanics with

i

-complex geometry is overcome by a nice ``trick'' which allows to avoid the Dirac algebra constraints in formulating our relativistic equation. A brief comparison with other quaternionic formulations is also presented.