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arXiv · 1810.09328

Ground state for the relativistic one electron atom

Vittorio Coti Zelati·Margherita Nolasco
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Abstract

We study the Dirac-Maxwell system coupled with an external potential of Coulomb type. We use the Foldy--Wouthuysen (unitary) transformation of the Dirac operator and its realization as an elliptic problem in the 4-dim half space $\mathbb{R}^4_{+}$ with Neumann boundary condition. Using this approach we study the existence of a "ground state" solution.

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Vittorio Coti Zelati, Margherita Nolasco. 2018-10-22. Ground state for the relativistic one electron atom. https://doi.org/10.1137/18m1222284

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