Quantum Dynamics in Regions of Quaternionic Curvature

Details Quantum Dynamics in Regions of Quaternionic Curvature Quantum Dynamics in Regions of Quaternionic Curvature

1994-06-29

arxiv.org/abs/hep-th/9406191v1

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, REVTeX 3.0, no figures, UM-P-94/24, OZ-94/11

Scientific paper

The complex unit appearing in the equations of quantum mechanics is generalised to a quaternionic structure on spacetime, leading to the consideration of complex quantum mechanical particles whose dynamical behaviour is governed by inhomogeneous Dirac and Schr\"{o}dinger equations. Mixing of hyper-complex components of wavefunctions occurs through their interaction with potentials dissipative into the extra quaternionic degrees of freedom. An interferometric experiment is analysed to illustrate the effect.

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