Work

The Dirac Equation from the Perspective of Quaternionic Analysis

Year: 2026

Type: article

Abstract: The Dirac equation is mapped to a first order differential equation for complex quaternionic functions to benefit from potential theory and quaternionic analysis. This method provides solutions which do not depend on particular matrix representations for Clifford algebras. We additionally deduce zero-mode solutions for the Dirac–Weyl equation, when non-vanishing vector potentials are presupposed.

Source: Advances in Applied Clifford Algebras

DOI: 10.1007/s00006-026-01436-8

Author: Jürgen Bolik

Institution: Georg Simon Ohm University of Applied Sciences Nuremberg

Language: English

Topic: Algebraic and Geometric Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

OpenAlex ID: W7127939274