Abstract

CANO G., LEONARDO A.. Time Dependent Quantum Scattering Theory on Complete Manifolds with a Corner of Codimension 2. Rev.colomb.mat. [online]. 2015, vol.49, n.1, pp.105-138. ISSN 0034-7426.  https://doi.org/10.15446/recolma.v49n1.54167.

We show the existence and orthogonality of wave operators naturally associated to a compatible Laplacian on a complete manifold with a corner of codimension 2. In fact, we prove asymptotic completeness i.e. that the image of these wave operators is equal to the space of absolutely continuous states of the compatible Laplacian. We achieve this last result using time dependent methods coming from many-body Schrödinger equations.

Keywords : Quantum scattering theory; Manifolds with corners; Wave operators; Many-body Schrödinger equations.

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