Cover Image

Semi-classical eigenvalue estimates under magnetic steps (Former title: Hearing the shape of a magnetic edge in the semiclassical limit)

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Assaad, Wafaa, Helffer, Bernard, Kachmar, Ayman
Format:	Preprint
Published:	2021
Subjects:	Mathematical Physics Spectral Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Asymptotics for the magnetic Dirichlet-to-Neumann eigenvalues in general domains
by: Helffer, Bernard, et al.
Published: (2025)

Flux effects on Magnetic Laplace and Steklov eigenvalues in the exterior of a disk
by: Helffer, Bernard, et al.
Published: (2025)

Quantum Tunneling and the Aharonov-Bohm effect
by: Helffer, Bernard, et al.
Published: (2024)

On the magnetic Dirichlet to Neumann operator on the exterior of the disk -- diamagnetism, weak-magnetic field limit and flux effects
by: Bernard, Helffer, et al.
Published: (2025)

On the magnetic Dirichlet to Neumann operator on the disk -- strong diamagnetism and strong magnetic field limit--
by: Bernard, Helffer, et al.
Published: (2024)

Isoperimetric inequalities for the lowest magnetic Steklov eigenvalue
by: Kachmar, Ayman, et al.
Published: (2026)

Improved semiclassical eigenvalue estimates for the Laplacian and the Landau Hamiltonian
by: Frank, Rupert L., et al.
Published: (2025)

Local strong magnetic fields and the Little-Parks effect
by: Kachmar, Ayman, et al.
Published: (2024)

Trace formulas for the magnetic Laplacian and Dirichlet to Neumann operator -- Explicit expansions --
by: Helffer, Bernard, et al.
Published: (2024)

High Flux Asymptotics and Critical Phenomena for the Magnetic Laplacian
by: Giacomelli, Emanuela L., et al.
Published: (2026)

On the Ginzburg-Landau Energy of Corners
by: Correggi, Michele, et al.
Published: (2024)

The magnetic Laplacian on the Disc for strong magnetic fields
by: Kachmar, Ayman, et al.
Published: (2024)

Counting eigenvalues below the lowest Landau level
by: Fournais, Soeren, et al.
Published: (2024)

Some results on semiclassical spectral analysis of magnetic Schrödinger operators
by: Kordyukov, Yuri A.
Published: (2025)

Upper bounds on eigenvalue multiplicities for spheres and plane domains revisited
by: Bérard, Pierre, et al.
Published: (2022)

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

A semiclassical Birkhoff normal form for constant-rank magnetic fields
by: Morin, Léo
Published: (2020)

Eigenvalues of the Neumann magnetic Laplacian in the unit disk
by: Helffer, Bernard, et al.
Published: (2024)

Fermionic semiclassical Lp estimates
by: Nguyen, Ngoc Nhi
Published: (2022)

Inverse Spectral Analysis of Singular Radial AKNS Operators
by: Gobin, Damien, et al.
Published: (2026)

On uniqueness of radial potentials for given Dirichlet spectra with distinct angular momenta
by: Gobin, Damien, et al.
Published: (2025)

Optimizing Riesz means of Robin Laplace operators on cuboids in a semiclassical limit
by: Baur, Matthias, et al.
Published: (2026)

On the Laplace operator with a weak magnetic field in exterior domains
by: Kachmar, Ayman, et al.
Published: (2024)

An asymptotic shape optimization problem for Riesz means of Laplacian eigenvalues
by: Frank, Rupert L., et al.
Published: (2026)

Discrete vs. continuous in the semiclassical limit
by: Becker, Simon, et al.
Published: (2024)

Inequalities between Dirichlet and Neumann eigenvalues of the magnetic Laplacian
by: Lotoreichik, Vladimir
Published: (2024)

Cwikel-Lieb-Rozenblum type estimates for the Pauli and magnetic Schrödinger operator in dimension two
by: Baur, Matthias, et al.
Published: (2025)

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

A Jensen inequality for partial traces and applications to partially semiclassical limits
by: Carlen, Eric A., et al.
Published: (2025)

Magnetic Dirac systems: Violation of bulk-edge correspondence in the zigzag limit
by: Treust, Loïc Le, et al.
Published: (2024)

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

Transition of the semiclassical resonance widths across a tangential crossing energy-level
by: Assal, Marouane, et al.
Published: (2024)

Spectral analysis of The magnetic Laplacian acting on discrete funnels
by: Athmouni, Nassim, et al.
Published: (2025)

The superadiabatic projectors method applied to the spectral theory of magnetic operators
by: Benedetto, Lino, et al.
Published: (2025)

Magnetic Dirac operator in strips submitted to strong magnetic fields
by: Treust, Loïc Le, et al.
Published: (2024)

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

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

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

Differences between Robin and Neumann eigenvalues on metric graphs
by: Band, Ram, et al.
Published: (2022)

A modified Fermi Golden Rule at threshold for 3D magnetic Schrödinger operators
by: Exner, Pavel, et al.
Published: (2025)