58 citations · 210 across the 11 of their papers we have counts for
5 papers · 2 filters
Octonionic Dirac Equation
Stefano De Leo, Khaled Abdel-Khalek
In order to obtain a consistent formulation of octonionic quantum mechanics (OQM), we introduce left-right barred operators. Such operators enable us to find the translation rules…
Octonionic Quantum Mechanics and Complex Geometry
Stefano De Leo, Khaled Abdel-Khalek
The use of complex geometry allows us to obtain a consistent formulation of octonionic quantum mechanics (OQM). In our octonionic formulation we solve the hermiticity problem and d…
Half-whole Dimensions in Quaternionic Quantum Mechanics
Stefano De Leo
We introduce {\em half-whole} dimensions for quaternionic matrices and propose a quaternionic version of the Frobenius-Schur theorem which allows us to obtain the proper quaternion…
Odd Dimensional Translation between Complex and Quaternionic Mechanics
Stefano De Leo, Pietro Rotelli
We complete the rules of translation between standard complex quantum mechanics (CQM) and quaternionic quantum mechanics (QQM) with a complex geometry. In particular we describe ho…
Quaternionic Electroweak Theory
Stefano De Leo, Pietro Rotelli
We explicitly develop a quaternionic version of the electroweak theory, based on the local gauge group . The need of a complex projection for our Lagra…