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arXiv · hep-th/9406191

Quantum Dynamics in Regions of Quaternionic Curvature

S. P. Brumby·G. C. Joshi
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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 Schrödinger 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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S. P. Brumby, G. C. Joshi. 1994-06-29. Quantum Dynamics in Regions of Quaternionic Curvature. https://arxiv.org/abs/hep-th/9406191

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