arXiv (OAI Expanded)
open access
Approximate eigenfunctions for some aperiodic crystals
functional-analysismathematical-physicsmesoscale-and-nanoscale-physicsquantum-physicsspectral-theory
In this paper, we consider a broad class of continuum two-scale Hamiltonians \begin{align*} H_\varepsilon:=T(-i\nabla_x+\mathbf A(x,\varepsilon x))+V(x,\varepsilon x),\qquad x\in \mathbb{R}^d \end{align*} where $T$ represents either a Dirac operator or a Schrödinger operator, and $x\mapsto \mathbf
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