On Galilean invariance and nonlinearity in electrodynamics and quantum mechanics

Details On Galilean invariance and nonlinearity in electrodynamics and quantum mechanics On Galilean invariance and nonlinearity in electrodynamics and quantum mechanics

2000-06-14

arxiv.org/abs/quant-ph/0006067v2

Physics

Quantum Physics

12 pages, added e-mail addresses of the authors, and corrected a misprint in formula (2.10)

Scientific paper

10.1016/S0375-9601(01)00017-2

Recent experimental results 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 Schroedinger equations, e.g. as proposed by Doebner and Goldin, yields a Galilean quantum electrodynamics.

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