On the essential spectrum of magnetic Schrödinger operators in exterior domains

DOI10.1016/j.ajmsc.2012.09.005zbMath1278.81077arXiv0907.1961OpenAlexW2062041376MaRDI QIDQ375180

Ayman Kachmar, Mikael Persson Sundqvist

Publication date: 28 October 2013

Published in: Arab Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.1961

zbMATH Keywords

essential spectrumspectral theory elliptic partial differential equations

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (8)

Spectral Clusters for Magnetic Exterior Problems ⋮ Eigenvalues for the Robin Laplacian in domains with variable curvature ⋮ Sum of the negative eigenvalues for the semi-classical Robin Laplacian ⋮ Lack of diamagnetism and the Little-Parks effect ⋮ Counting function of magnetic resonances for exterior problems ⋮ Diamagnetism versus Robin condition and concentration of ground states ⋮ ON NEGATIVE EIGENVALUES OF THE SCHRÖDINGER OPERATOR ⋮ Semi-classical trace asymptotics for magnetic Schrödinger operators with Robin condition

Cites Work

• Eigenvalue asymptotics of the even-dimensional exterior Landau-Neumann Hamiltonian
• Spectral methods in surface superconductivity
• 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)
• Eigenvalue clusters of the Landau Hamiltonian in the exterior of a compact domain
• On the ground state energy for a magnetic Schrödinger operator and the effect of the DeGennes boundary condition
• WEYL ASYMPTOTICS FOR MAGNETIC SCHRÖDINGER OPERATORS AND DE GENNES' BOUNDARY CONDITION
• ON MATHEMATICAL MODELS FOR BOSE–EINSTEIN CONDENSATES IN OPTICAL LATTICES
• On the asymptotic number of edge states for magnetic Schrödinger operators
• On the energy of bound states for magnetic Schrödinger operators
• Magnetic bottles in connection with superconductivity

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