01-36 Nenciu Gheorghe, Sordoni Vania

Semiclassical limit for multistate Klein-Gordon systems: almost invariant subspaces and scattering theory. (70K, LATeX 2e) Jan 25, 01

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Abstract. Using the method of Helffer and Sj\"ostrand we construct almost invariant subspaces for multicomponent Klein-Gordon hamiltonians. As an application, we prove that, in the semiclassical limit and for analytic potentials, the scattering operator is block diagonal up to exponentially small errors.

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