This analysis demonstrates the limiting absorption principle for the discrete Maxwell operator, suggesting its validity in anisotropic cases.
We make the beginning of the spectral analysis of the anisotropic discrete Maxwell operator H ^ D defined on the square lattice ℤ 3 : we prove that the limiting absorption principle holds. To this aim we construct a conjugate operator to the Fourier series of H ^ D at any not-zero real value. In particular, we analyse the case of thresholds of H ^ D .
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Olivier Poisson (2025) studied this question.
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