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math-ph2019★ 11 cited
Edge states in ordinary differential equations for dislocations
David Gontier
In this article, we study Schrödinger operators on the real line, when the external potential represents a dislocation in a periodic medium. We study how the spectrum varies with t…
math-ph2019
The reduced Hartree-Fock model with self-generated magnetic fields
David Gontier, Salma Lahbabi
We study the well-posedness of the reduced Hartree-Fock model for molecules and perfect crystals when taking into account a self-generated magnetic field. We exhibit a critical val…