Quantum Dynamics in Regions of Quaternionic Curvature
High Energy Physics - Theory
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/9406191,
title = {Quantum Dynamics in Regions of Quaternionic Curvature},
author = {S. P. Brumby and G. C. Joshi},
journal= {arXiv preprint arXiv:hep-th/9406191},
year = {2007}
}
Comments
12 pages, REVTeX 3.0, no figures, UM-P-94/24, OZ-94/11