Eigenstates of the Neumann magnetic Laplacian with vanishing magnetic field
From MaRDI portal
Publication:724832
DOI10.1007/s00023-018-0681-7zbMath1398.35032OpenAlexW2803087560MaRDI QIDQ724832
Publication date: 26 July 2018
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://tel.archives-ouvertes.fr/tel-01374935/file/Th%C3%A8se_JPMiqueu.pdf
Asymptotic distributions of eigenvalues in context of PDEs (35P20) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Related Items (5)
On estimation of the number of eigenvalues of the magnetic Schrödinger operator in a three-dimensional layer ⋮ Existence of solution for magnetic Schrödinger equation with the Neumann boundary condition ⋮ Magnetic steps on the threshold of the normal state ⋮ On the semiclassical Laplacian with magnetic field having self-intersecting zero set ⋮ Averaging of magnetic fields and applications
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Semiclassical analysis with vanishing magnetic fields
- Spectral properties of higher order anharmonic oscillators
- Sharp asymptotics for the Neumann Laplacian with variable magnetic field: case of dimension 2
- Bound states of the magnetic Schrödinger operator
- Geometry and spectrum in 2D magnetic wells
- Spectral methods in surface superconductivity
- Functional analysis, Sobolev spaces and partial differential equations
- Spectral gaps for periodic Schrödinger operators with hypersurface magnetic wells: analysis near the bottom
- Schrödinger operators with magnetic fields. I: General interactions
- Stable nucleation for the Ginzburg-Landau system with an applied magnetic field
- Hearing the zero locus of a magnetic field
- Semiclassical analysis for the ground state energy of a Schrödinger operator with magnetic wells
- Harmonic oscillators with Neumann condition on the half-line
- The ground state energy of the two dimensional Ginzburg-Landau functional with variable magnetic field
- Asymptotics for the low-lying eigenstates of the Schrödinger operator with magnetic field near corners
- A uniqueness theorem for higher order anharmonic oscillators
- Breaking a magnetic zero locus: Asymptotic analysis
- Schrödinger operators with non-degenerately vanishing magnetic fields in bounded domains
- Breaking a magnetic zero locus: model operators and numerical approach
- Energy and vorticity of the Ginzburg–Landau model with variable magnetic field
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
- The Breakdown of Superconductivity Due to Strong Fields for the Ginzburg--Landau Model
- Eigenvalue problems of Ginzburg–Landau operator in bounded domains
- The Montgomery model revisited
- SUPERCONDUCTIVITY IN DOMAINS WITH CORNERS
- Boundary concentration for eigenvalue problems related to the onset of superconductivity
- Magnetic bottles in connection with superconductivity
This page was built for publication: Eigenstates of the Neumann magnetic Laplacian with vanishing magnetic field
