Time-dependent scattering theory on manifolds
نویسندگان
چکیده
منابع مشابه
Time-dependent Scattering Theory for Schrödinger Operators on Scattering Manifolds *
We construct a time-dependent scattering theory for Schrödinger operators on a manifold M with asymptotically conic structure. We use the two-space scattering theory formalism, and a reference operator on a space of the form R×∂M , where ∂M is the boundary of M at infinity. We prove the existence and the completeness of the wave operators, and show that our scattering matrix is equivalent to th...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2019
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2019.05.016