Spectral Properties of Schrödinger Operators on Perturbed Lattices
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2014
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866911810891808768 |
|---|---|
| author | Ando, Kazunori Isozaki, Hiroshi Morioka, Hisashi |
| author_facet | Ando, Kazunori Isozaki, Hiroshi Morioka, Hisashi |
| contents | We study the spectral properties of Schrödinger operators on perturbed lattices. We shall prove the non-existence or the discreteness of embedded eigenvalues, the limiting absorption principle for the resolvent, construct a spectral representation, and define the S-matrix. Our theory covers the square, triangular, diamond, Kagome lattices, as well as the ladder, the graphite and the subdivision of square lattice. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1408_2076 |
| institution | arXiv |
| publishDate | 2014 |
| record_format | arxiv |
| spellingShingle | Spectral Properties of Schrödinger Operators on Perturbed Lattices Ando, Kazunori Isozaki, Hiroshi Morioka, Hisashi Spectral Theory Mathematical Physics Analysis of PDEs 81U40, 47A40 We study the spectral properties of Schrödinger operators on perturbed lattices. We shall prove the non-existence or the discreteness of embedded eigenvalues, the limiting absorption principle for the resolvent, construct a spectral representation, and define the S-matrix. Our theory covers the square, triangular, diamond, Kagome lattices, as well as the ladder, the graphite and the subdivision of square lattice. |
| title | Spectral Properties of Schrödinger Operators on Perturbed Lattices |
| topic | Spectral Theory Mathematical Physics Analysis of PDEs 81U40, 47A40 |
| url | https://arxiv.org/abs/1408.2076 |