On Galilean invariance and nonlinearity in electrodynamics and quantum mechanics

DOI10.1016/S0375-9601(01)00017-2zbMath0972.78003arXivquant-ph/0006067OpenAlexW2092637790MaRDI QIDQ1595761

Vladimir M. Shtelen, Gerald A. Goldin

Publication date: 13 February 2001

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0006067

zbMATH Keywords

nonlinear Maxwell theoriesnonlinear Schrö dinger equations

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Electromagnetic theory (general) (78A25)

Related Items (5)

Symmetries and couplings of non-relativistic electrodynamics ⋮ Spatial contraction of the Poincaré group and Maxwell's equations in the electric limit ⋮ Galilean and \(U(1)\)-gauge symmetry of the Schrödinger field ⋮ NONLINEAR CONSTITUTIVE EQUATIONS FOR GRAVITOELECTROMAGNETISM ⋮ Square-integrable solutions to a family of nonlinear Schrödinger equations from nonlinear quantum theory

Cites Work

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• The Galilean covariance of quantum mechanics in the case of external fields
• Feynman’s proof of the Maxwell equations
• Gauge Transformations for a Family of Nonlinear Schrödinger Equations
• Gauge transformations in quantum mechanics and the unification of nonlinear Schrödinger equations

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