Caltech/UCLA Joint Analysis Seminar
Spectral theory of confining magnetic fields via symplectic geometry
San Vu Ngoc,
Department of Mathematics,
Universite de Rennes,
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.
This is joint work with B. Helffer, Y. Kordyukov and N. Raymond.
For more information, please contact Mathematics Department by phone at 626-395-4335 or by email at [email protected].
Event Series
Caltech/UCLA/USC Joint Analysis Seminar Series
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