SPECTRAL ANALYSIS OF THE DISCRETE MAXWELL OPERATOR: THE LIMITING ABSORPTION PRINCIPLE
Résumé
We make the beginning of the spectral analysis of the inhomogeneous discrete Maxwell operator ĤD defined on the square lattice Z Z 3 : we prove that the limiting absorption principle holds. To this aim we construct a conjugate operator to the Fourier series of ĤD at any not-zero real value. In particular, we analyse the case of thresholds of ĤD .
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