Spectral and scattering properties at thresholds for the Laplacian in a half-space with a periodic boundary condition
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🧮 math-ph
math.FAmath.MPmath.SP
keywords
scatteringboundaryconditionhalf-spacelaplacianperiodicthresholdscontinuity
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For the scattering system given by the Laplacian in a half-space with a periodic boundary condition, we derive resolvent expansions at embedded thresholds, we prove the continuity of the scattering matrix, and we establish new formulas for the wave operators.
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