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arXiv · 1403.2795

Modified wave operators for discrete Schrödinger operators with long-range perturbations

Shu Nakamura
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Abstract

We consider the scattering theory for discrete Schrödinger operators on $Z^d$ with long-range potentials. We prove the existence of modified wave operators constructed in terms of solutions of a Hamilton-Jacobi equation on the torus $T^d$.

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Shu Nakamura. 2014-03-12. Modified wave operators for discrete Schrödinger operators with long-range perturbations. https://arxiv.org/abs/1403.2795

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