The Rotation Number for Almost Periodic Potentials with Jump Discontinuities and δ-Interactions
Abstract
We consider one-dimensional Schrödinger operators with generalized almost periodic potentials with jump discontinuities and δ-interactions. For operators of this kind, we introduce a rotation number in the spirit of Johnson and Moser. To do this, we introduce the concept of almost periodicity at a rather general level, and then the almost periodic function with jump discontinuities and δ-interactions as an application.
- Publication:
-
Annales Henri Poincaré
- Pub Date:
- February 2024
- DOI:
- 10.1007/s00023-023-01404-z
- arXiv:
- arXiv:2112.00372
- Bibcode:
- 2024AnHP...25.1359D
- Keywords:
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- Mathematics - Dynamical Systems;
- Mathematics - Classical Analysis and ODEs
- E-Print:
- 34 pages, to appear in Annales Henri Poincar\'e