Magnetic bottles in connection with superconductivity

From MaRDI portal
Publication:5952330

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




Related Items (83)

Accurate eigenvalue asymptotics for the magnetic Neumann LaplacianEstimates for the lowest eigenvalue of magnetic LaplaciansEnergy of surface states for 3D magnetic Schrödinger operatorsOn the ground state energy for a magnetic Schrödinger operator and the effect of the DeGennes boundary conditionPinning with a variable magnetic field of the two dimensional Ginzburg-Landau modelApproximate zero modes for the Pauli operator on a regionMagnetic WKB constructionsAn effective Hamiltonian for the eigenvalue asymptotics of the Robin Laplacian with a large parameterOn the transition to the normal phase for superconductors surrounded by normal conductorsSemiclassical Spectral Asymptotics for a Two-Dimensional Magnetic Schrödinger Operator II: The Case of Degenerate WellsClusters of eigenvalues for the magnetic Laplacian with Robin conditionAbrikosov lattices in finite domainsOptimal magnetic Sobolev constants in the semiclassical limitSurface superconductivity in 3 dimensionsSpectral gaps for periodic Schrödinger operators with strong magnetic fieldsLimiting absorption principle for the magnetic Dirichlet Laplacian in a half-planeMagnetic Laplacian in Sharp Three-dimensional ConesON THE SECOND CRITICAL FIELD FOR A GINZBURG–LANDAU MODEL WITH FERROMAGNETIC INTERACTIONSOn the third critical field in Ginzburg-Landau theoryMagnetic bottles for the Neumann problem: curvature effects in the case of dimension 3 (general case)The loss of stability of surface superconductivityOn the essential spectrum of magnetic Schrödinger operators in exterior domainsDecay of superconductivity away from the magnetic zero setCompactness of the solution operator to \(\overline\partial\) in weighted \(L^{2}\)-spacesOn estimation of the number of eigenvalues of the magnetic Schrödinger operator in a three-dimensional layerMagnetic perturbations of the Robin Laplacian in the strong coupling limitA 3D-Schrödinger operator under magnetic steps with semiclassical applicationsHelical magnetic fields and semi-classical asymptotics of the lowest eigenvalueEigenvalues for the Robin Laplacian in domains with variable curvatureEffective operators on an attractive magnetic edgeSemiclassical eigenvalue estimates under magnetic stepsLow-energy spectrum of Toeplitz operators with a miniwellSemiclassical spectral analysis of Toeplitz operators on symplectic manifolds: the case of discrete wellsSum of the negative eigenvalues for the semi-classical Robin LaplacianPeak power in the 3D magnetic Schrödinger equationAnalyse numérique de la supraconductivité (Numerical analysis of superconductivity).Surface Lifshits tails for random quantum HamiltoniansSpectral properties of higher order anharmonic oscillatorsSUPERCONDUCTIVITY IN DOMAINS WITH CORNERSOn a quantum Hamiltonian in a unitary magnetic field with axisymmetric potentialMagnetic steps on the threshold of the normal stateThe breakdown of superconductivity in the presence of magnetic stepsConcentration behavior and lattice structure of 3D surface superconductivity in the half spaceOn the semi-classical analysis of the ground state energy of the Dirichlet Pauli operatorStrong diamagnetism for general domains and applicationRemarks on the spectrum of the Neumann problem with magnetic field in the half-spaceReduced Landau-de Gennes functional and surface smectic state of liquid crystalsInequalities for the lowest magnetic Neumann eigenvalueA posteriori error estimator for the eigenvalue problem associated to the Schrödinger operator with magnetic fieldOn the ground state energy for a magnetic Schrödinger operator and the effect of the de Gennes boundary conditionBand functions in the presence of magnetic stepsThe bifurcation diagrams for the Ginzburg-Landau system of superconductivityEigenstates of the Neumann magnetic Laplacian with vanishing magnetic fieldSemiclassical 3D Neumann Laplacian with Variable Magnetic Field: A Toy ModelInternal geometric current, and the Maxwell equation as a Hamiltonian system on configuration surfacesSharp trace asymptotics for a class of \(2D\)-magnetic operatorsOn the semiclassical spectrum of the Dirichlet-Pauli operatorA uniqueness theorem for higher order anharmonic oscillatorsOn the semiclassical Laplacian with magnetic field having self-intersecting zero setMean curvature bounds and eigenvalues of Robin LaplaciansGeometry and spectrum in 2D magnetic wellsMagnetic WKB constructions on surfacesDiamagnetism versus Robin condition and concentration of ground statesPeriodic magnetic Schrödinger operators: spectral gaps and tunneling effectThe Hardy inequality and the heat equation with magnetic field in any dimensionComputations of the first eigenpairs for the Schrödinger operator with magnetic fieldPurely magnetic tunneling effect in two dimensionsA semiclassical Birkhoff normal form for symplectic magnetic wellsLowest energy band function for magnetic stepsSemi-classical trace asymptotics for magnetic Schrödinger operators with Robin conditionOn the Ginzburg‐Landau critical field in three dimensionsEnergy asymptotics for type II superconductorsMagnetic spectral bounds on starlike plane domainsSemiclassical states for NLS equations with magnetic potentials having polynomial growthsEmergence of the triangular lattice near a flat wallMagnetic bottles for the Neumann problem: the case of dimension 3Magnetic Neumann Laplacian on a sharp coneSpectral shift and multiplicity of the first eigenvalue of the magnetic Schrödinger operator in two dimensions.Upper critical field and location of surface nucleation of superconductivityAccurate semiclassical spectral asymptotics for a two-dimensional magnetic Schrödinger operatorAveraging of magnetic fields and applicationsSchrödinger operators with non-degenerately vanishing magnetic fields in bounded domainsOn the fundamental state for a Schrödinger operator with magnetic field in a domain with corners.



Cites Work


This page was built for publication: Magnetic bottles in connection with superconductivity