Magnetic WKB constructions
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Publication:291808
DOI10.1007/s00205-016-0987-xzbMath1338.35379arXiv1405.7157OpenAlexW2222386804MaRDI QIDQ291808
Frederic Hérau, Nicolas Raymond, Virginie Bonnaillie-Noël
Publication date: 10 June 2016
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1405.7157
General topics in linear spectral theory for PDEs (35P05) PDEs in connection with quantum mechanics (35Q40) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)
Related Items (13)
Tunneling for the Robin Laplacian in smooth planar domains ⋮ The density of superconductivity in domains with corners ⋮ Magnetic quantum currents in the presence of a Neumann wall ⋮ Holomorphic extension of the de Gennes function ⋮ Eigenvalues for the Robin Laplacian in domains with variable curvature ⋮ Low-energy spectrum of Toeplitz operators with a miniwell ⋮ Sum of the negative eigenvalues for the semi-classical Robin Laplacian ⋮ Semiclassical approximation of the magnetic Schrödinger operator on a strip : dynamics and spectrum ⋮ Weyl formulae for the Robin Laplacian in the semiclassical limit ⋮ Tunnel effect in a shrinking shell enlacing a magnetic field ⋮ On the semiclassical Laplacian with magnetic field having self-intersecting zero set ⋮ Magnetic WKB constructions on surfaces ⋮ Purely magnetic tunneling effect in two dimensions
Cites Work
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- Semiclassical analysis with vanishing magnetic fields
- Discrete spectrum of a model Schrödinger operator on the half-plane with Neumann conditions
- Spectral properties of higher order anharmonic oscillators
- Coherent states and applications in mathematical physics.
- Eigenvalues variation. I: Neumann problem for Sturm--Liouville operators
- Geometry and spectrum in 2D magnetic wells
- Accurate eigenvalue asymptotics for the magnetic Neumann Laplacian
- A general effective Hamiltonian method
- Spectral methods in surface superconductivity
- Computations of the first eigenpairs for the Schrödinger operator with magnetic field
- Spectral gaps for periodic Schrödinger operators with hypersurface magnetic wells: analysis near the bottom
- On the Born-Oppenheimer expansion for polyatomic molecules
- Semi-classical analysis for the Schrödinger operator and applications
- Tunneling estimates for magnetic Schrödinger operators
- 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
- Microlocal WKB expansions
- Accurate semiclassical spectral asymptotics for a two-dimensional magnetic Schrödinger operator
- From the Laplacian with variable magnetic field to the electric Laplacian in the semiclassical limit
- Asymptotics for the low-lying eigenstates of the Schrödinger operator with magnetic field near corners
- A uniqueness theorem for higher order anharmonic oscillators
- When the 3D Magnetic Laplacian Meets a Curved Edge in the Semiclassical Limit
- Semiclassical Spectral Asymptotics for a Two-Dimensional Magnetic Schrödinger Operator II: The Case of Degenerate Wells
- Breaking a magnetic zero locus: Asymptotic analysis
- Semiclassical spectral asymptotics for a two-dimensional magnetic Schr\"odinger operator: The case of discrete wells
- Breaking a magnetic zero locus: model operators and numerical approach
- Multiple wells in the semi-classical limit I
- Harmonic Analysis in Phase Space. (AM-122)
- Onset of superconductivity in decreasing fields for general domains
- Gaussian decay estimates for the eigenfunctions of magnetic schrödinger operators
- Semiclassical 3D Neumann Laplacian with Variable Magnetic Field: A Toy Model
- Bounds for the Discrete Part of the Spectrum of a Semi-Bounded Schrödinger Operator.
- Parametrices for pseudodifferential operators with multiple characteristics
- Boundary concentration for eigenvalue problems related to the onset of superconductivity
- Magnetic bottles in connection with superconductivity
- An introduction to semiclassical and microlocal analysis
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