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
Nolasco M.
2019-01-01
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.File in questo prodotto:
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