Absence of eigenvalues of analytic quasi-periodic Schrödinger operators on \({\mathbb{R}}^d\)
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Publication:2050066
DOI10.1007/s00220-021-04174-zzbMath1471.81028arXiv2006.11925OpenAlexW3036662045MaRDI QIDQ2050066
Publication date: 30 August 2021
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.11925
Estimates of eigenvalues in context of PDEs (35P15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)
Cites Work
- Unnamed Item
- Complete asymptotic expansion of the spectral function of multidimensional almost-periodic Schrödinger operators
- Complete asymptotic expansion of the integrated density of states of multidimensional almost-periodic Schrödinger operators
- Non-perturbative localization with quasiperiodic potential in continuous time
- \(L^2\)-reducibility and localization for quasiperiodic operators
- Localization for a class of one dimensional quasi-periodic Schrödinger operators
- Anderson localization for multi-frequency quasi-periodic operators on \(\mathbb{Z}^d\)
- An extension of a result by Dinaburg and Sinai on quasi-periodic potentials
- Bethe-Sommerfeld conjecture
- Bethe-Sommerfeld conjecture for periodic operators with strong perturbations
- Fine properties of the integrated density of states and a quantitative separation property of the Dirichlet eigenvalues
- Absence of diffusion in the Anderson tight binding model for large disorder or low energy
- Unique continuation and absence of positive eigenvalues for Schrödinger operators. (With an appendix by E. M. Stein)
- Positive Lyapunov exponents for Schrödinger operators with quasi- periodic potentials
- Floquet solutions for the 1-dimensional quasi-periodic Schrödinger equation
- The one-dimensional Schrödinger equation with a quasiperiodic potential
- On the absence of positive eigenvalues of Schrödinger operators with rough potentials
- Absolutely continuous spectrum for 1D quasiperiodic operators.
- Anderson localization for Schrödinger operators on \(\mathbb{Z}^2\)with quasi-periodic potential
- Anderson localization for two interacting quasiperiodic particles
- Multidimensional almost-periodic Schrödinger operators with Cantor spectrum
- Exponential bounds and absence of positive eigenvalues for N-body Schrödinger operators
- On the inverse spectral problem for the quasi-periodic Schrödinger equation
- Analytic solutions of nonlinear elliptic equations on rectangular tori
- Ballistic transport for the Schrödinger operator with limit-periodic or quasi-periodic potential in dimension two
- A new class of Schrödinger operators without positive eigenvalues
- Anderson localization for quasi-periodic lattice Schrödinger operators on \(\mathbb Z^d\), \(d\) arbitrary
- Phase transition and semi-global reducibility
- Lower bounds for solutions of Schrödinger equations
- Growth properties of solutions of the reduced wave equation with a variable coefficient
- Positive Lyapunov exponents for continuous quasiperiodic Schrödinger equations
- The Schrodinger Equation with a Quasi-Periodic Potential
- Continuous quasiperiodic Schrödinger operators with Gordon type potentials
- Schrödinger operators with dynamically defined potentials
- Dynamics and spectral theory of quasi-periodic Schrödinger-type operators
- Green's Function Estimates for Lattice Schrodinger Operators and Applications. (AM-158)
- Extended States for the Schrödinger Operator with Quasi-periodic Potential in Dimension Two
- Multiscale analysis in momentum space for quasi-periodic potential in dimension two
- On positive eigenvalues of one‐body schrödinger operators
- On nonperturbative localization with quasi-periodic potential.