1994/06/29 by S. P. Brumby, Steven P. Brumby, Brumby, S. P. +2
Engineering · Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #FOS: Physical sciences #Geophysics and Sensor Technology #High Energy Physics - Theory (hep-th) #Quantum Mechanics and Non-Hermitian Physics #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9406191
12 pages, REVTeX 3.0, no figures, UM-P-94/24, OZ-94/11
arxiv created 1994/06/29 · openalex publication_date 1994/06/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.