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arXiv · 1401.6447

Semiclassical analysis for a Schrödinger operator with a U(2) artificial gauge: the periodic case

Abderemane Morame·Francoise Truc
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Abstract

We consider a Schrödinger operator with a Hermitian 2x2 matrix-valued potential which is lattice periodic and can be diagonalized smoothly on the whole $R^n.$ In the case of potential taking its minimum only on the lattice, we prove that the well-known semiclassical asymptotic of first band spectrum for a scalar potential remains valid for our model.

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Abderemane Morame, Francoise Truc. 2014-06-24. Semiclassical analysis for a Schrödinger operator with a U(2) artificial gauge: the periodic case. https://arxiv.org/abs/1401.6447

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