Quantization of periodic motions on compact surfaces of constant negative curvature in a magnetic field
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Publication:2460507
DOI10.1134/S0001434607010038zbMath1132.81033MaRDI QIDQ2460507
R. V. Nekrasov, Jochen Brüning, Andrej I. Shafarevich
Publication date: 12 November 2007
Published in: Mathematical Notes (Search for Journal in Brave)
Schrödinger operator, Schrödinger equation (35J10) Geometry and quantization, symplectic methods (81S10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Geometric quantization (53D50)
Related Items (3)
Trace formula for the magnetic Laplacian on a compact hyperbolic surface ⋮ Geometry and quasiclassical quantization of magnetic monopoles ⋮ Trace formula for the magnetic Laplacian
Cites Work
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- On the Landau levels on the hyperbolic plane
- Fuchsian groups and transitive horocycles
- Integrable Schrödinger operators with magnetic fields: Factorization method on curved surfaces
- Flux quantization and quantum mechanics on Riemann surfaces in an external magnetic field
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