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Résumés > San Vũ NgọcSan Vũ Ngọc - "Spectral theory of confining magnetic fields via symplectic geometry" I will present recent results giving precise eigenvalue asymptotics for the magnetic Laplacian for large magnetic fields (semiclassical limit), in the case of a confining, non-uniform field, in dimensions 2 and 3. The essential ingredient is the symplectic geometry of the zero-energy manifold in the magnetic phase space, and the quantization of the various oscillations of the Hamiltonian flow for long times.
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