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math-ph2017★ 3 cited
A geometric Iwatsuka type effect in quantum layers
Pavel Exner, Tomáš Kalvoda, Matěj Tušek
We study motion of a charged particle confined to Dirichlet layer of a fixed width placed into a homogeneous magnetic field. If the layer is planar and the field is perpendicular t…
math-ph2012★ 4 cited
Indirect Coulomb Energy for Two-Dimensional Atoms
Rafael D. Benguria, Matěj Tušek
In this manuscript we provide a family of lower bounds on the indirect Coulomb energy for atomic and molecular systems in two dimensions in terms of a functional of the single part…