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Absence of Eigenvalues of Analytic Quasi-Periodic Schrödinger Operators on Rd.
- Source :
-
Communications in Mathematical Physics . Sep2021, Vol. 386 Issue 3, p1413-1436. 24p. - Publication Year :
- 2021
-
Abstract
- In this paper we study the Schrödinger operator H = - Δ + λ V (x) with a real analytic quasi-periodic potential V (x) defined on R d for arbitrary d ≥ 1 . We prove that H has no eigenvalues in the energy interval - | log λ | C , | log λ | C for every C > 0 if λ > 0 is sufficiently small. The proof is based on the Aubry duality and the multi-scale analysis in the momentum space. [ABSTRACT FROM AUTHOR]
- Subjects :
- *SCHRODINGER operator
*EIGENVALUES
*MOMENTUM space
Subjects
Details
- Language :
- English
- ISSN :
- 00103616
- Volume :
- 386
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Communications in Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 151881016
- Full Text :
- https://doi.org/10.1007/s00220-021-04174-z