2018年11月
Inverse scattering for Schrödinger operators on perturbed lattices
Annales Henri Poincaré
- ,
- ,
- 巻
- 19
- 号
- 11
- 開始ページ
- 3397
- 終了ページ
- 3455
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1007/s00023-018-0721-3
© 2018, Springer Nature Switzerland AG. We study the inverse scattering for Schrödinger operators on locally perturbed periodic lattices. We show that the associated scattering matrix is equivalent to the Dirichlet-to-Neumann map for a boundary value problem on a finite part of the graph, and reconstruct scalar potentials as well as the graph structure from the knowledge of the S-matrix. In particular, we give a procedure for probing defects in hexagonal lattices (graphene).
- リンク情報
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- DOI
- https://doi.org/10.1007/s00023-018-0721-3
- 共同研究・競争的資金等の研究課題
- 多様体及びグラフの幾何構造と不均質媒質による散乱理論
- ID情報
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- DOI : 10.1007/s00023-018-0721-3
- ISSN : 1424-0637
- SCOPUS ID : 85051865647