no. 3
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.

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.

Received:
Revised:
Accepted:
Published online:
DOI: 10.5802/aif.2954
Classification: 81U40,  47A40,  39A12
Keywords: Schrödinger operator, Scattering theory, Inverse Problem 
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     title = {Inverse scattering at a fixed energy for {Discrete} {Schr\"odinger} {Operators} on the square lattice},
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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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