On the ground state energy for a magnetic Schrödinger operator and the effect of the DeGennes boundary condition

DOI10.1063/1.2218980zbMath1112.81035OpenAlexW2051349054MaRDI QIDQ3441944

Ayman Kachmar

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2218980

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Statistical mechanics of superconductors (82D55) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (13)

On the transition to the normal phase for superconductors surrounded by normal conductors ⋮ Clusters of eigenvalues for the magnetic Laplacian with Robin condition ⋮ Tunneling for the Robin Laplacian in smooth planar domains ⋮ On the essential spectrum of magnetic Schrödinger operators in exterior domains ⋮ On the bound states of magnetic Laplacians on wedges ⋮ Eigenvalues for the Robin Laplacian in domains with variable curvature ⋮ Sum of the negative eigenvalues for the semi-classical Robin Laplacian ⋮ The distribution of superconductivity near a magnetic barrier ⋮ Magnetic vortices for a Ginzburg-Landau type energy with discontinuous constraint ⋮ Tunneling between corners for Robin Laplacians ⋮ WEYL ASYMPTOTICS FOR MAGNETIC SCHRÖDINGER OPERATORS AND DE GENNES' BOUNDARY CONDITION ⋮ Lowest energy band function for magnetic steps ⋮ Semi-classical trace asymptotics for magnetic Schrödinger operators with Robin condition

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