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

Authors :: Shu Nakamura
Source :: Journal of Mathematical Physics. 2014, Vol. 55 Issue 11, p1-8. 8p.
Publication Year :: 2014
Abstract: We consider the scattering theory for discrete Schrödinger operators on Zd 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 Td. [ABSTRACT FROM AUTHOR]

Subjects :: *SCHRODINGER equation
*OPERATOR theory
*PERTURBATION theory
*EXISTENCE theorems
*HAMILTON-Jacobi equations
*TORUS

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