A remark on the absence of eigenvalues in continuous spectra for discrete Schr\'{o}dinger operators on periodic lattices
| Autor: | Ando, Kazunori, Isozaki, Hiroshi, Morioka, Hisashi |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We prove a Rellich-Vekua type theorem for Schr\"{o}dinger operators with exponentially decreasing potentials on a class of lattices containing square, triangular, hexagonal lattices and their ladders. We also discuss the unique continuation theorem and the non-existence of eigenvalues embedded in the continuous spectrum. |
| Databáze: | arXiv |
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