Cover Image

Negative spectrum of non-local operators with periodic potential

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Pirogov, S., Zhizhina, E.
Format:	Preprint
Published:	2026
Subjects:	Spectral Theory Mathematical Physics
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Absence of flat bands for discrete periodic graph operators with generic potentials
by: Faust, Matthew, et al.
Published: (2025)

Sharp arithmetic localization for quasiperiodic operators with monotone potentials
by: Jitomirskaya, Svetlana, et al.
Published: (2024)

Sharp semiclassical spectral asymptotics for Schrödinger operators with non-smooth potentials
by: Mikkelsen, Søren
Published: (2023)

On the spectrum of the periodic focusing Zakharov-Shabat operator
by: Biondini, Gino, et al.
Published: (2020)

Finite energy subspace for time-periodic Schrödinger operators
by: Skibsted, Erik
Published: (2026)

On the spectrum of quasi-periodic Schrödinger operators on $\mathbb{Z}^d$ with $C^2$-cosine type potentials
by: Cao, Hongyi, et al.
Published: (2023)

Cantor spectrum for multidimensional quasi-periodic Schrödinger operators
by: Helffer, Bernard, et al.
Published: (2025)

Absence of ballistic motion and presence of almost-ballistic motion for unitary operators with pure point spectrum
by: Cedzich, Christopher, et al.
Published: (2026)

On the spectrum of the magnetic Dirac operator
by: Branding, Volker, et al.
Published: (2025)

Open problem: Violation of locality for Schrödinger operators with complex potentials
by: Cuenin, Jean-Claude, et al.
Published: (2024)

On gaps in the spectra of quasiperiodic Schrödinger operators with discontinuous monotone potentials
by: Kachkovskiy, Ilya, et al.
Published: (2024)

Anderson localization of long-range quasi-periodic operators via Dynamical Rigidity
by: Wang, Zhenfu, et al.
Published: (2026)

Three-dimensional magnetic Schrödinger operator with the potential supported in a tube
by: Barseghyan, Diana, et al.
Published: (2025)

On negative eigenvalues of 1D Schrödinger operators with $δ'$-like potentials
by: Golovaty, Yuriy, et al.
Published: (2025)

On the point spectrum of electromagnetic Dirac operators
by: Arrizabalaga, Naiara, et al.
Published: (2025)

Dirac operators on the half-line: stability of spectrum and non-relativistic limit
by: Kramar, David, et al.
Published: (2024)

The exotic structure of the spectral $ζ$-function for the Schrödinger operator with Pöschl--Teller potential
by: Fucci, Guglielmo, et al.
Published: (2024)

Semiclassical tunneling for some 1D Schrödinger operators with complex-valued potentials
by: Averseng, Martin, et al.
Published: (2025)

Resonances for the one dimensional Schrödinger operator with the matrix-valued complex square-well potential
by: Latushkin, Yuri, et al.
Published: (2025)

Eigenfunction correlators under power-law SULE and localization for lattice operators
by: Aloisio, M., et al.
Published: (2026)

Persistence in perturbed contact models in continuum
by: Pirogov, S., et al.
Published: (2026)

Perturbative diagonalization and spectral gaps of quasiperiodic operators on $\ell^2(\mathbb Z^d)$ with monotone potentials
by: Kachkovskiy, Ilya, et al.
Published: (2024)

Optimal dispersion for discrete periodic Schrödinger operators
by: Damanik, David, et al.
Published: (2025)

Resolvent, spectrum and resonances for the acoustic operator with piecewise constant coefficients
by: Mantile, Andrea, et al.
Published: (2026)

Eigenvalue distribution in gaps of the essential spectrum of the Bochner-Schrödinger operator
by: Kordyukov, Yuri A.
Published: (2025)

Quantum dynamical bounds for long-range operators with skew-shift potentials
by: Liu, Wencai, et al.
Published: (2024)

Sharp semiclassical spectral asymptotics for local magnetic Schrödinger operators on $\mathbb{R}^d$ without full regularity
by: Mikkelsen, Søren
Published: (2023)

Sharp decay rate for eigenfunctions of perturbed periodic Schrödinger operators
by: Liu, Wencai, et al.
Published: (2024)

On the spectrum of the Landau Hamiltonian perturbed by a periodic electric potential $V\in H^s_{\mathrm {loc}}({\mathbb R}^2;{\mathbb R})$, $s > 0$
by: Danilov, L. I.
Published: (2024)

Universality for free fermions and the local Weyl law for semiclassical Schrödinger operators
by: Deleporte, Alix, et al.
Published: (2021)

Resolvent expansions of 3D magnetic Schroedinger operators and Pauli operators
by: Jensen, Arne, et al.
Published: (2023)

Convergence of Schrödinger operators on domains with scaled resonant potentials
by: Lotoreichik, Vladimir, et al.
Published: (2025)

Finite-zone PT-potentials
by: Taimanov, I. A.
Published: (2024)

Scattering for Schrödinger operators with potentials concentrated near a subspace
by: Black, Adam, et al.
Published: (2022)

Exponential localization for eigensections of the Bochner-Schrödinger operator
by: Kordyukov, Yuri A.
Published: (2024)

Decorrelation in Local Statistics for random operators
by: Krishna, M.
Published: (2024)

Sharp arithmetic delocalization for quasiperiodic operators with potentials of semi-bounded variation
by: Jitomirskaya, Svetlana, et al.
Published: (2024)

On eigenvalues of the Landau Hamiltonian with a periodic electric potential
by: Danilov, Leonid
Published: (2026)

Green's function estimates for long-range quasi-periodic operators on $\mathbb{Z}^d$ and applications
by: Wen, Li, et al.
Published: (2025)

Remling's Theorem for vector-valued discrete Schrodinger operators
by: Acharya, Keshav Raj
Published: (2026)