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Zbl 0706.58009
Guillopé, Laurent
Hamiltonien périodique de surface: Désintégration de Floquet. (Periodic Hamiltonians on surfaces: Floquet desintegration).
(French)
[A] Sémin. Théor. Spectrale Géom. 7, Année 1988-1989, 9-24 (1989).

[For the entire collection see Zbl 0699.00033.] \par The author gives a detailed exposition of the Floquet's technique for the study of a periodic Hamiltonian defined on a surface, i.e. an operator of type $\Delta +Q,$ where $\Delta$ is the Laplacian and Q is a periodic potential. The author refined also, as particular cases, some results from Fredholm's operator theory.
[M.Puta]
MSC 2000:
*58C40 Spectral theory on manifolds
47A53 (Semi-)Fredholm operators; index theories

Keywords: Flaquet theory; Fredholm theory; periodic Hamiltonian

Citations: Zbl 0699.00033

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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