On the essential spectrum of magnetic Schrödinger operators in exterior domains
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Publication:375180
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
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
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- Eigenvalue clusters of the Landau Hamiltonian in the exterior of a compact domain
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- 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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