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Open Quantum Systems Decoherence
On crystal ground state in the Schrödinger-Poisson model: point ions
arXiv
Authors: A. I. Komech
Year
2014
Paper ID
47694
Status
Preprint
Abstract Read
~2 min
Abstract Words
72
Citations
N/A
Abstract
A space-periodic ground state is shown to exist for lattices of point ions in R3 coupled to the Schrödinger and scalar fields. The coupling requires the renormalization of the selfaction because of the singularity of the Coulomb potential. The ground state is constructed by minimization of the renormalized energy per cell. This energy is bounded from below when the charge of each ion is positive. The elementary cell is necessarily neutral.
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- This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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- A space-periodic ground state is shown to exist for lattices of point ions in R^3 coupled to the Schrödinger and scalar fields.
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