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Extended states for the Schrödinger operator with quasi-periodic potential in dimension two
The authors consider a Schrödinger operator H=-\Delta +V(\vec x) in dimension two with a quasi-periodic potential V(\vec x). They prove that the absolutely continuous spectrum of H contains a semiaxis and there is a family of generalized eigenfunctions at every point of this semiaxis with the follow...
| Autores principales: | , |
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| Lenguaje: | eng |
| Publicado: |
American Mathematical Society
2019
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| Materias: | |
| Acceso en línea: | http://cds.cern.ch/record/2685669 |