On the linear stability of crystals in the Schrödinger-Poisson model

DOI10.1007/s10955-016-1613-xzbMath1358.35172arXiv1505.07074OpenAlexW2266004305WikidataQ41319822 ScholiaQ41319822MaRDI QIDQ505556

Elena A. Kopylova, Alexander I. Komech

Publication date: 26 January 2017

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.07074

zbMATH Keywords

latticelinear stabilityground stateHamilton operatorcrystalBloch transform

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) NLS equations (nonlinear Schrödinger equations) (35Q55) (2)-body potential quantum scattering theory (81U05) Weak solutions to PDEs (35D30) Second-order hyperbolic equations (35L10) Scattering theory of linear operators (47A40)

Related Items (3)

On Orbital Stability of Ground States for Finite Crystals in Fermionic Schrödinger--Poisson Model ⋮ On stability of ground states for finite crystals in the Schrödinger–Poisson model ⋮ On the dispersion decay for crystals in the linearized Schrödinger-Poisson model

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