On the scattering theory of the Laplacian with a periodic boundary condition. II. Additional channels of scattering
Documenta mathematica, Tome 9 (2004), pp. 57-77.

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Summary: We study spectral and scattering properties of the Laplacian $H^{(\sigma)} = -\Delta$ in $L_2(\R^2_+)$ corresponding to the boundary condition $\frac{$
Classification : 35J10, 35J25, 35P05, 35P25
Keywords: scattering theory, periodic operator, Schrödinger operator, singular potential
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     author = {Frank, Rupert L. and Shterenberg, Roman G.},
     title = {On the scattering theory of the {Laplacian} with a periodic boundary condition. {II.} {Additional} channels of scattering},
     journal = {Documenta mathematica},
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Frank, Rupert L.; Shterenberg, Roman G. On the scattering theory of the Laplacian with a periodic boundary condition. II. Additional channels of scattering. Documenta mathematica, Tome 9 (2004), pp. 57-77. http://geodesic.mathdoc.fr/item/DOCMA_2004__9__a25/