Spectral shift and multiplicity of the first eigenvalue of the magnetic Schrödinger operator in two dimensions.

DOI10.5802/aif.1936zbMath1106.35039OpenAlexW2246382860MaRDI QIDQ1864238

László Erdős

Publication date: 17 March 2003

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2002__52_6_1833_0

zbMATH Keywords

Riemann surfacemagnetic Laplacianmultiplicity of the ground state

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (3)

Sur la multiplicité des valeurs propres du Laplacien de Witten ⋮ Strong diamagnetism for general domains and application ⋮ Analytic treatment of vortex states in cylindrical superconductors in applied axial magnetic field

Cites Work

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• Sur la multiplicité de la premiere valeur propre des surfaces riemanniennes
• Sur la multiplicité de la première valeur propre non nulle du Laplacien. (On the multiplicity of the first nonzero eigenvalue of the Laplacian)
• Sur une hypothèse de transversalité d'Arnold. (About a transversality hypothesis of Arnold)
• Heat kernel estimates and lower bound of eigenvalues
• Eigenfunctions and nodal sets
• On the multiplicity of eigenvalues of the Laplacian on surfaces
• Pauli operator and Aharonov-Casher theorem for measure valued magnetic fields
• Strong magnetic fields, Dirichlet boundaries, and spectral gaps
• Construction de laplaciens dont une partie finie du spectre est donnée
• Sur la multiplicité de la première valeur propre de l’opérateur de Schrödinger avec champ magnétique sur la sphère
• THE KERNEL OF DIRAC OPERATORS ON ${\mathbb S}^3$ AND ℝ³
• Magnetic bottles in connection with superconductivity
• The absolute continuity of the integrated density of states for magnetic Schrödinger operators with certain unbounded random potentials

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