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Quantum dynamics in regions of quaternionic curvature

Technical Report:

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.
Publication Date:
Dec 31, 1994
Product Type:
Technical Report
Report Number:
UM-P-94/24; OZ-94/11.
Reference Number:
SCA: 662100; PA: AIX-26:017885; EDB-95:032168; SN: 95001329998
Resource Relation:
Other Information: PBD: [1994]
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QUANTUM MECHANICS; SPACE-TIME; DEGREES OF FREEDOM; DIRAC EQUATION; INTERFEROMETRY; MATHEMATICAL SPACE; SCHROEDINGER EQUATION; 662100; GENERAL THEORY OF PARTICLES AND FIELDS
OSTI ID:
10113710
Research Organizations:
Melbourne Univ., Parkville, VIC (Australia). School of Physics
Country of Origin:
Australia
Language:
English
Other Identifying Numbers:
Other: ON: DE95616276; TRN: AU9414225017885
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
11 p.
Announcement Date:
Jun 30, 2005

Technical Report:

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}
}