On a quaternionic Maxwell equation for the time-dependent electromagnetic field in a chiral medium
Abstract
Maxwell's equations for the time-dependent electromagnetic field in a homogeneous chiral medium are reduced to a single quaternionic equation. Its fundamental solution satisfying the causality principle is obtained which allows us to solve the time-dependent chiral Maxwell system with sources.
- Publication:
-
Journal of Physics A Mathematical General
- Pub Date:
- April 2004
- DOI:
- 10.1088/0305-4470/37/16/013
- arXiv:
- arXiv:math-ph/0309062
- Bibcode:
- 2004JPhA...37.4641G
- Keywords:
-
- Mathematical Physics;
- Mathematics - Analysis of PDEs;
- 30G35;
- 35Q60;
- 78A40
- E-Print:
- Journal of Physics A: Math. and General, 2004, v. 37, issue 16, 4641 - 4647