Semiclassical eigenvalue estimates under magnetic steps
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Publication:6196181
DOI10.2140/apde.2024.17.535OpenAlexW4392503104MaRDI QIDQ6196181
Bernard Helffer, Ayman Kachmar, Wafaa Assaad
Publication date: 14 March 2024
Published in: Analysis \& PDE (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/apde.2024.17.535
Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)
Cites Work
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- Edge states induced by Iwatsuka Hamiltonians with positive magnetic fields
- Eigenvalues variation. I: Neumann problem for Sturm--Liouville operators
- Accurate eigenvalue asymptotics for the magnetic Neumann Laplacian
- Spectral methods in surface superconductivity
- Examples of absolutely continuous Schrödinger operators in magnetic fields
- The distribution of superconductivity near a magnetic barrier
- Estimates of the upper critical field for the Ginzburg-Landau equations of superconductivity
- Upper critical field and location of surface nucleation of superconductivity
- Lack of diamagnetism and the Little-Parks effect
- Purely magnetic tunneling effect in two dimensions
- Tunneling effect induced by a curved magnetic edge
- Band functions in the presence of magnetic steps
- 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
- Magnetic bottles for the Neumann problem: curvature effects in the case of dimension 3 (general case)
- The breakdown of superconductivity in the presence of magnetic steps
- Magnetic bottles in connection with superconductivity
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