Frank, Rupert L.; Shterenberg, Roman G.

On the scattering theory of the Laplacian with a periodic boundary condition. II. Additional channels of scattering

Doc. Math., J. DMV 9, 57-77 (2004)


Summary: We study spectral and scattering properties of the Laplacian $H^{(\sigma)} = -\Delta$ in $L_2(\R^2_+)$ corresponding to the boundary condition $\frac{$

Mathematics Subject Classification

35J10, 35J25, 35P05, 35P25


scattering theory, periodic operator, Schrödinger operator, singular potential