Fine properties of Charge Transfer Models
Abstract
We prove L1 to Linfinity estimates for charge transfer Hamiltonians H(t) in Rn for n > or = 3, followed by a discussion of estimates from Wk,p' to Wk,p for the same model, where 2 < p < infinity and 1/p + 1/p'=1. Then, geometric methods are developed to establish the time boundedness of the Hk norm for the evolution of charge transfer operators and asymptotic completeness of the Hamiltonian H(t) in the Hk norm, where k is any positive integer.
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