On Galilean invariance and nonlinearity in electrodynamics and quantum mechanics
Abstract
Recent experimental results such as those on slow light heighten interest in nonlinear Maxwell theories. We obtain Galilei covariant equations for electromagnetism by allowing special nonlinearities in the constitutive equations only, keeping Maxwell's equations unchanged. Combining these with linear or nonlinear Schrödinger equations, e.g., as proposed by Doebner and Goldin, yields a consistent, nonlinear, Galilean Schrödinger-Maxwell electrodynamics.
- Publication:
-
Physics Letters A
- Pub Date:
- February 2001
- DOI:
- arXiv:
- arXiv:quant-ph/0006067
- Bibcode:
- 2001PhLA..279..321G
- Keywords:
-
- Quantum Physics
- E-Print:
- 12 pages, added e-mail addresses of the authors, and corrected a misprint in formula (2.10)