Sur la multiplicité de la première valeur propre de l’opérateur de Schrödinger avec champ magnétique sur la sphère

DOI10.1090/S0002-9947-98-01778-4zbMath0903.58060OpenAlexW1576800577MaRDI QIDQ4382929

Gilles Courtois, Gérard Besson, Bruno Colbois

Publication date: 24 March 1998

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-98-01778-4

zbMATH Keywords

eigenvaluesmagnetic fieldsconnection

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (4)

Sur la multiplicité des valeurs propres du Laplacien de Witten ⋮ Berezin Transforms Attached to Landau Levels on the Complex Projective Space P^n(ℂ) ⋮ Construction of eigenvalues of multiplicity 2 of the Hodge-de Rham Laplacian ⋮ Spectral shift and multiplicity of the first eigenvalue of the magnetic Schrödinger operator in two dimensions.

Cites Work

• Sur la multiplicité de la première valeur propre non nulle du Laplacien. (On the multiplicity of the first nonzero eigenvalue of the Laplacian)
• From vanishing theorems to estimating theorems: the Bochner technique revisited
• Quantization and unitary representations
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