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math-ph2015
Asymptotic stability of stationary states in wave equation coupled to nonrelativistic particle
E. Kopylova, A. Komech
We consider the Hamiltonian system consisting of scalar wave field and a single particle coupled in a translation invariant manner. The point particle is subject to an external pot…
math-ph2015★ 3 cited
On linear stability of crystals in the Schroedinger-Poisson model
Alexander Komech, Elena Kopylova
We consider the Schrödinger--Poisson--Newton equations for crystals with a cubic lattice and one ion per cell. We linearize this dynamics at the ground state and introduce a novel…