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Fine properties of Charge Transfer Models | | Kaihua Cai
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26 Nov 2003 | | Subject: | Mathematical Physics; Analysis of PDEs MSC-class: 35J10 35P25 | math-ph math.AP math.MP | | Abstract: | We prove L^1 to L^infinity estimates for charge transfer Hamiltonians H(t) in R^n for n > or = 3, followed by a discussion of estimates from W^{k,p’} to W^{k,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 H^k norm for the evolution of charge transfer operators and asymptotic completeness of the Hamiltonian H(t) in the H^k norm, where k is any positive integer. | | Source: | arXiv, math-ph/0311048 | | Services: | Forum | Review | PDF | Favorites | |
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