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math.AP2022
Asymptotic expansion of the spectrum for periodic Schrödinger operators
Scott Armstrong, Raghavendra Venkatraman
We prove an asymptotic expansion for the eigenvalues and eigenfunctions of Schrödinger-type operator with a confining potential and with principle part a periodic elliptic operator…
math.AP2022
Complex Analytic Dependence on the Dielectric Permittivity in ENZ Materials: The Photonic Doping Example
Robert V. Kohn, Raghavendra Venkatraman
Motivated by the physics literature on "photonic doping" of scatterers made from "epsilon-near-zero" (ENZ) matrials, we consider how the scattering of time-harmonic TM electromagne…
math.AP2022★ 5 cited
Far-Field Expansions for Harmonic Maps and the Electrostatics Analogy in Nematic Suspensions
Stan Alama, Lia Bronsard, Xavier Lamy +1
For a smooth bounded domain we consider maps minimizing the energy $E(n)=\int_{\mathbb R^3\setminus G}|\nabla n…