The rotation number for almost periodic Schrödinger operators with \(\delta \)-potentials
From MaRDI portal
Publication:2116443
DOI10.1007/s10884-021-10019-zzbMath1493.34232OpenAlexW3175227372WikidataQ115383137 ScholiaQ115383137MaRDI QIDQ2116443
Publication date: 17 March 2022
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-021-10019-z
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05) Rotation numbers and vectors (37E45)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Rotation numbers of linear Hamiltonian systems with phase transitions over almost periodic lattices
- The rotation number for finite difference operators and its properties
- Resonance tongues and spectral gaps in quasi-periodic Schrödinger operators with one or more frequencies. A numerical exploration
- Almost periodic Schrödinger operators. II: The integrated density of states
- The rotation number for almost periodic potentials
- Almost periodic differential equations
- Index theory for symplectic paths with applications
- Rotation number and exponential dichotomy for linear Hamiltonian systems: from theoretical to numerical results
- Piecewise continuous almost automorphic functions and Favard's theorems for impulsive differential equations in honor of Russell Johnson
- A generalization of Bochner's theorem and its applications in the study of impulsive differential equations
- The rotation number of the linear Schrödinger equation with discontinuous almost periodic potentials
- An ergodic theorem for Delone dynamical systems and existence of the integrated density of states
- Uniform ergodic theorems for discontinuous skew-product flows and applications to Schrödinger equations
- Schrödinger operators with dynamically defined potentials
- On weakly almost periodic measures
- Equicontinuous Delone Dynamical Systems