Magnetic bottles in connection with superconductivity
DOI10.1006/jfan.2001.3773zbMath1078.81023OpenAlexW2088341366WikidataQ62472547 ScholiaQ62472547MaRDI QIDQ5952330
Arbderemane Mohamed, Bernard Helffer
Publication date: 2001
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/b19f12df160e1518b07308c1c912626e8c56a2bf
Estimates of eigenvalues in context of PDEs (35P15) Statistical mechanics of superconductors (82D55) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)
Related Items (83)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Eigenvalues variation. I: Neumann problem for Sturm--Liouville operators
- Eigenvalue problems for the Schrödinger operator with the magnetic field on a compact Riemann manifold
- Caractérisation du spectre essentiel de l'opérateur de Schrödinger avec un champ magnétique. (Characterization of the essential spectrum of the Schrödinger operator with a magnetic field)
- Semi-classical analysis for the Schrödinger operator and applications
- Schrödinger operators with magnetic fields. I: General interactions
- Lifschitz tail in a magnetic field: The nonclassical regime
- Asymptotics of the infimum of the spectrum of Schrödinger operators with magnetic fields
- Nodal sets for ground states of Schrödinger operators with zero magnetic field in non simply connected domains
- Lower bounds for the spectra of Schrödinger operators with magnetic fields
- Decay at infinity of eigenfunctions of Schrödinger operators with polynomial electro-magnetic field
- Stable nucleation for the Ginzburg-Landau system with an applied magnetic field
- On the extended nature of edge states of quantum Hall Hamiltonians
- Estimates of the upper critical field for the Ginzburg-Landau equations of superconductivity
- Surface nucleation of superconductivity in 3-dimensions
- Semiclassical asymptotics of eigenvalues for Schrödinger operators with magnetic fields
- Hearing the zero locus of a magnetic field
- Rayleigh-type isoperimetric inequality with a homogeneous magnetic field
- Semiclassical analysis for the ground state energy of a Schrödinger operator with magnetic wells
- Spectral analysis of Schrödinger operators with magnetic fields
- Microlocal WKB expansions
- Encadrement du N(\(\lambda\) ) pour un opérateur de Schrödinger avec un champ magnétique et un potentiel électrique. (Inclusion of N(\(\lambda\) ) for a Schrödinger operator with magnetic field and electric potential)
- The onset of superconductivity in a domain with a corner
- Multiple wells in the semi-classical limit I
- Modélisation du champ de retard à la condensation d'un supraconducteur par un problème de bifurcation
- The Breakdown of Superconductivity Due to Strong Fields for the Ginzburg--Landau Model
- Gaussian decay for the eigenfunctions of a schrödinger operator with magnetic field constant at infinity
- The boundary integral method for magnetic billiards
- Onset of superconductivity in decreasing fields for general domains
- Gauge Invariant Eigenvalue Problems in ℝⁿ and in ℝⁿ₊
- Eigenvalue problems of Ginzburg–Landau operator in bounded domains
- Lower bounds for pseudo-differential operators
- Long-time vanishing properties of solutions of some semilinear parabolic equations
- Boundary concentration for eigenvalue problems related to the onset of superconductivity
This page was built for publication: Magnetic bottles in connection with superconductivity