Some mathematical problems in a neoclassical theory of electric charges

DOI10.3934/dcds.2010.27.1283zbMath1213.35378arXiv0910.3630OpenAlexW2963787699MaRDI QIDQ977943

Alexander Figotin, Anatoli V. Babin

Publication date: 23 June 2010

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.3630

zbMATH Keywords

nonlinear Schrödinger equationMaxwell equationsLorentz forcehydrogen atomnonlinear eigenvalue problemNewton's law

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) NLS equations (nonlinear Schrödinger equations) (35Q55) Motion of charged particles (78A35) Miscellaneous topics of analysis in the complex plane (30E99) Soliton solutions (35C08) Maxwell equations (35Q61) PDEs in connection with mechanics of particles and systems of particles (35Q70)

Related Items (10)

Neoclassical theory of elementary charges with spin of 1/2 ⋮ Relativistic point dynamics and Einstein formula as a property of localized solutions of a nonlinear Klein-Gordon equation ⋮ Wellposedness of a nonlinear, logarithmic Schrödinger equation of Doebner-Goldin type modeling quantum dissipation ⋮ Relativistic dynamics of accelerating particles derived from field equations ⋮ Electrodynamics of balanced charges ⋮ Dirac potential in the Doebner-Goldin equation ⋮ Newton's law for a trajectory of concentration of solutions to nonlinear Schrödinger equation ⋮ Explicit mass renormalization and consistent derivation of radiative response of classical electron ⋮ Regularized splitting spectral method for space-fractional logarithmic Schrödinger equation ⋮ Schrödinger equations with logarithmic self-interactions: from antilinear \(\mathcal{PT}\)-symmetry to the nonlinear coupling of channels

This page was built for publication: Some mathematical problems in a neoclassical theory of electric charges