Trace formula for the magnetic Laplacian

DOI10.1070/RM9870zbMath1433.58019arXiv1901.05699OpenAlexW2908991848MaRDI QIDQ5220226

Iskander A. Taimanov, Yurii A. Kordyukov

Publication date: 11 March 2020

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.05699

zbMATH Keywords

trace formulamagnetic geodesicsmagnetic Laplacian

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Elliptic equations on manifolds, general theory (58J05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Perturbations of PDEs on manifolds; asymptotics (58J37)

Related Items (5)

Trace formula for the magnetic Laplacian on a compact hyperbolic surface ⋮ Geometry and quasiclassical quantization of magnetic monopoles ⋮ The spectral density function of the renormalized Bochner Laplacian on a symplectic manifold ⋮ Magnetic Lieb–Thirring inequality for periodic functions ⋮ Review on spectral asymptotics for the semiclassical Bochner Laplacian of a line bundle

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