QUATERNIONIC ELECTRON THEORY - DIRACS EQUATION

Citation
S. Deleo et Wa. Rodrigues, QUATERNIONIC ELECTRON THEORY - DIRACS EQUATION, International journal of theoretical physics, 37(5), 1998, pp. 1511-1529
Citations number
44
Categorie Soggetti
Physics
ISSN journal
00207748
Volume
37
Issue
5
Year of publication
1998
Pages
1511 - 1529
Database
ISI
SICI code
0020-7748(1998)37:5<1511:QET-DE>2.0.ZU;2-D
Abstract
We perform a one-dimensional complexified quaternionic version of the Dirac equation based on i-complex geometry. The problem of the missing complex parameters in quaternionic quantum mechanics with i-complex g eometry is overcome by a nice ''trick'' which allows us to avoid the D irac algebra constraints in formulating our relativistic equation. A b rief comparison with other quaternionic formulations is also presented .