Spectrum of the Schrödinger operator on a line bundle over complex projective spaces

DOI10.2748/tmj/1178228026zbMath0652.53044OpenAlexW2018794144MaRDI QIDQ1107144

Ruishi Kuwabara

Publication date: 1988

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178228026

zbMATH Keywords

Schrödinger operatorspectrumcomplex projective spaceHermitian line bundleharmonic connectionBochner-Laplace operator

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Related Items

Semiclassical Spectral Asymptotics for a Two-Dimensional Magnetic Schrödinger Operator II: The Case of Degenerate Wells, The sigma model on complex projective superspaces, Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces, A Direct Proof for an Eigenvalue Problem by Counting Lagrangian Submanifolds, Spectral theory of magnetic Berezin transforms on the complex projective space, Holomorphic spectral geometry of magnetic Schrödinger operators on Riemann surfaces, Confining quantum particles with a purely magnetic field, Isospectral connections on line bundles

Cites Work

• Spectrum and holonomy of the line bundle over the sphere
• Some spectral results for the Laplacian on line bundles over \(S^ n\)
• Une caractérisation des formes exactes de degré 1 sur les espaces projectifs. (A characterization of exact forms of degree 1 on projective spaces)
• Spectrum of the Laplacian on vector bundles over \(C_{2\pi}\)-manifolds
• Some spectral results on rank one symmetric spaces
• The Radon transform
• Asymptotics of eigenvalue clusters for the Laplacian plus a potential
• Spectre conjoint d'opérateurs pseudo-différentiels qui commutent. I: Le cas non intégrable
• Variétés kählériennes compactes
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• Quantization and unitary representations
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