Quantum Dynamics in Regions of Quaternionic Curvature
Abstract
Description
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.
12 pages, REVTeX 3.0, no figures, UM-P-94/24, OZ-94/11
12 pages, REVTeX 3.0, no figures, UM-P-94/24, OZ-94/11