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math-ph2012
Small amplitude solitary waves in the Dirac-Maxwell system
Andrew Comech, David Stuart
We study nonlinear bound states, or solitary waves, in the Dirac-Maxwell system proving the existence of solutions in which the Dirac wave function is of the form ,…
math-ph2012★ 6 cited
Polarons as stable solitary wave solutions to the Dirac-Coulomb system
A. A. Comech, M. A. Zubkov
We consider solitary wave solutions to the Dirac--Coulomb system both from physical and mathematical points of view. Fermions interacting with gravity in the Newtonian limit are de…