We study the Dirac-Maxwell system coupled with an external potential of Coulomb type. We prove the existence of a ``ground state" solution using the Foldy-Wouthuysen (unitary) transformation of the Dirac operator and its realization as an elliptic problem in the 4-dim half space R^4_+ with a Neumann boundary condition.

Ground state for the relativistic one electron atom in a self-generated electromagnetic field

Coti Zelati V.
;
2019

Abstract

We study the Dirac-Maxwell system coupled with an external potential of Coulomb type. We prove the existence of a ``ground state" solution using the Foldy-Wouthuysen (unitary) transformation of the Dirac operator and its realization as an elliptic problem in the 4-dim half space R^4_+ with a Neumann boundary condition.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/762467
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