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 Schroedinger 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. 11 refs.
Citation Formats
Brumby, S P, and Joshi, G.
Quantum dynamics in regions of quaternionic curvature.
Australia: N. p.,
1994.
Web.
Brumby, S P, & Joshi, G.
Quantum dynamics in regions of quaternionic curvature.
Australia.
Brumby, S P, and Joshi, G.
1994.
"Quantum dynamics in regions of quaternionic curvature."
Australia.
@misc{etde_10113710,
title = {Quantum dynamics in regions of quaternionic curvature}
author = {Brumby, S P, and Joshi, G}
abstractNote = {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 Schroedinger 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. 11 refs.}
place = {Australia}
year = {1994}
month = {Dec}
}
title = {Quantum dynamics in regions of quaternionic curvature}
author = {Brumby, S P, and Joshi, G}
abstractNote = {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 Schroedinger 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. 11 refs.}
place = {Australia}
year = {1994}
month = {Dec}
}