Spectral Clusters for Magnetic Exterior Problems

DOI10.1007/978-3-319-29992-1_4zbMath1405.35192OpenAlexW2489140186MaRDI QIDQ4555526

Diomba Sambou, Vincent Bruneau

Publication date: 20 November 2018

Published in: Operator Theory: Advances and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-29992-1_4

zbMATH Keywords

boundary conditionsmagnetic Schrödinger operatorcounting function of resonances

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) General theory of partial differential operators (47F05) NLS equations (nonlinear Schrödinger equations) (35Q55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Resonance in context of PDEs (35B34) Electro- and magnetostatics (78A30) Pseudodifferential operators (47G30)

Cites Work

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• Spectral asymptotics of Pauli operators and orthogonal polynomials in complex domains
• Spectral methods in surface superconductivity
• Schrödinger operators with magnetic fields. I: General interactions
• On the singularities of the magnetic spectral shift function at the Landau levels
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• Resonances and Spectral Shift Function Singularities for Magnetic Quantum Hamiltonians
• Clusters of eigenvalues for the magnetic Laplacian with Robin condition
• ON MATHEMATICAL MODELS FOR BOSE–EINSTEIN CONDENSATES IN OPTICAL LATTICES
• QUASI-CLASSICAL VERSUS NON-CLASSICAL SPECTRAL ASYMPTOTICS FOR MAGNETIC SCHRÖDINGER OPERATORS WITH DECREASING ELECTRIC POTENTIALS
• Spectral shift function in strong magnetic fields
• Eigenvalue asymptotics for the södinger operator
• Eigenvalue Asymptotics for Weakly Perturbed Dirac and Schrödinger Operators with Constant Magnetic Fields of Full Rank
• Counting Function of Characteristic Values and Magnetic Resonances
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