no. 3
Inverse scattering at a fixed energy for Discrete Schrödinger Operators on the square lattice
Isozaki, Hiroshi1; Morioka, Hisashi1
1 University of Tsukuba Division of Mathematics 1-1-1 Tennoudai, Tsukuba, Ibaraki, 305-8571 (Japan)
Annales de l'Institut Fourier, Volume 65 (2015) no. 3, pp. 1153-1200.

We study an inverse scattering problem for the discrete Schrödinger operator on the square lattice ℤ d , d≥2, with compactly supported potential. We show that the potential is uniquely reconstructed from a scattering matrix for a fixed energy.

Nous étudions un problème inverse de diffusion pour l’opérateur de Schrödinger discret sur un réseau carré ℤ d , d≥2, avec un potentiel à support compact. Nous montrons que le potentiel est uniquement determiné en utilisant la matrice de diffusion à énergie fixée.

DOI: 10.5802/aif.2954
Classification: 81U40, 47A40, 39A12
Keywords: Schrödinger operator, Scattering theory, Inverse Problem
Isozaki, Hiroshi 1; Morioka, Hisashi 1

1 University of Tsukuba Division of Mathematics 1-1-1 Tennoudai, Tsukuba, Ibaraki, 305-8571 (Japan) 
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Isozaki, Hiroshi; Morioka, Hisashi. Inverse scattering at a fixed energy for Discrete Schrödinger Operators on the square lattice. Annales de l'Institut Fourier, Volume 65 (2015) no. 3, pp. 1153-1200. doi : 10.5802/aif.2954. https://aif.centre-mersenne.org/articles/10.5802/aif.2954/

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