On quantization condition for magnetic systems

KUWABARA Ruishi

16th Dec (Thu) 16:00-

In the magnetic dynamical system there are approximate quantum energies corresponding to a classical periodic orbit satisfying a certain quantization condition.
A magnetic version of the result due to Guillemin-Weinstein and Ralston for the geodesic.

1. Dynamical system in a magnetic field
2. Backgrounds
3. U(1)-bundle formalism of the magnetic system
4. Quantization condition for magnetic system
5. Periodic orbit and spectrum
6. Sketch of the proof

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