Band Edge Limit of the Scattering Matrix for Quasi-One-Dimensional Discrete Schrödinger Operators

Author:

Ballesteros MiguelORCID,Franco Gerardo,Garro Guillermo,Schulz-Baldes Hermann

Funder

FORDECYT-PRONACES

PAPPIT-DGAPA-UNAM

PAPIIT-UNAM

CONACYT ciencia basica

DFG

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics

Reference36 articles.

1. Agranovich, Z.S., Marchenko, V.A.: The Inverse Problem of Scattering Theory. Courier Dover Publications, New York (2020)

2. Aktosun, T., Klaus, M., Van Der Mee, C.: Small-energy asymptotics of the scattering matrix for the matrix Schrödinger equation on the line. J. Math. Phys. 42, 4627–4652 (2001)

3. Aktosun, T., Klaus, M., Weder, R.: Small-energy analysis for the selfadjoint matrix Schrödinger operator on the half line. II. J. Math. Phys. 55, 032103 (2014)

4. Aktosun, T., Weder, R.: Direct and Inverse Scattering for the Matrix Schrödinger Equation. Springer, Basel (2020)

5. Aktosun, T., Choque-Rivero, A.E., Papanicolaou, V.G.: Bound states of the discrete Schrödinger equation with compactly supported potentials. Electron. J. Differential Equations 2019, Paper No. 23, 19 pp

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