Time Dependent Quantum Scattering Theory on Complete Manifolds with a Corner of Codimension 2

Time Dependent Quantum Scattering Theory on Complete Manifolds with a Corner of Codimension 2

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.

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Main Author: CANO G.,LEONARDO A.
Format: Digital revista
Language:English
Published: Universidad Nacional de Colombia y Sociedad Colombiana de Matemáticas 2015
Online Access:http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0034-74262015000100006
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spelling oai:scielo:S0034-742620150001000062015-11-20Time Dependent Quantum Scattering Theory on Complete Manifolds with a Corner of Codimension 2CANO G.,LEONARDO A. Quantum scattering theory Manifolds with corners Wave operators Many-body Schrödinger equations 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.info:eu-repo/semantics/openAccessUniversidad Nacional de Colombia y Sociedad Colombiana de MatemáticasRevista Colombiana de Matemáticas v.49 n.1 20152015-06-01info:eu-repo/semantics/articletext/htmlhttp://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0034-74262015000100006en10.15446/recolma.v49n1.54167
institution SCIELO
collection OJS
country Colombia
countrycode CO
component Revista
access En linea
databasecode rev-scielo-co
tag revista
region America del Sur
libraryname SciELO
language English
format Digital
author CANO G.,LEONARDO A.
spellingShingle CANO G.,LEONARDO A.
Time Dependent Quantum Scattering Theory on Complete Manifolds with a Corner of Codimension 2
author_facet CANO G.,LEONARDO A.
author_sort CANO G.,LEONARDO A.
title Time Dependent Quantum Scattering Theory on Complete Manifolds with a Corner of Codimension 2
title_short Time Dependent Quantum Scattering Theory on Complete Manifolds with a Corner of Codimension 2
title_full Time Dependent Quantum Scattering Theory on Complete Manifolds with a Corner of Codimension 2
title_fullStr Time Dependent Quantum Scattering Theory on Complete Manifolds with a Corner of Codimension 2
title_full_unstemmed Time Dependent Quantum Scattering Theory on Complete Manifolds with a Corner of Codimension 2
title_sort time dependent quantum scattering theory on complete manifolds with a corner of codimension 2
description 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.
publisher Universidad Nacional de Colombia y Sociedad Colombiana de Matemáticas
publishDate 2015
url http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0034-74262015000100006
work_keys_str_mv AT canogleonardoa timedependentquantumscatteringtheoryoncompletemanifoldswithacornerofcodimension2
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