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On the Linear Stability of Crystals in the Schrödinger–Poisson Model

We consider the Schrödinger–Poisson–Newton equations for crystals with one ion per cell. We linearize this dynamics at the periodic minimizers of energy per cell and introduce a novel class of the ion charge densities that ensures the stability of the linearized dynamics. Our main result is the ener...

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Detalles Bibliográficos
Autores principales: Komech, A., Kopylova, E.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2016
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5050255/
https://www.ncbi.nlm.nih.gov/pubmed/27773944
http://dx.doi.org/10.1007/s10955-016-1613-x