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Virginia Polytechnic Institute and State University
Existence and analyticity of many body scattering amplitudes at low energies
Abstract
dc:description.abstractWe study elastic and inelastic (2 cluster) - (2 cluster) scattering amplitudes for N-body quantum systems. For potentials falling off like r⁻<sup>-1-E</sup> we prove that below the lowest 3-cluster threshold these amplitudes exist, are continuous and that asymptotic completeness holds. Moreover, if potentials fall off exponentially we prove that these amplitudes can be meromorphically continued in the energy, with square root branch points at the 2 cluster thresholds.
Degree
thesis:*- Name thesis:degree_name
- Ph. D.
- Level thesis:degree_level
- doctoral
- Discipline thesis:degree_discipline
- Mathematics
- Department dc:contributor.department
- Mathematics
- Grantor dc:publisher
- Virginia Polytechnic Institute and State University
- Year dc:date.issued
- 1985
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Dereziński, Jan
- Chair dc:contributor.committeechair
-
- Hagedorn, George
- Committee members dc:contributor.committeemember
-
- Greenberg, W.
- Klaus, Martin
- Fletcher, Peter
- Zweifel, P.F.
Rights
dc:rights- Statement dc:rights
-
- In Copyright
- Licence dc:rights.uri
- Language dc:language.iso
- en_US
Identifiers
dc:identifier.*- Handle dc:identifier.uri
- http://hdl.handle.net/10919/53870
- OAI identifier oai:identifier
- oai:vtechworks.lib.vt.edu:10919/53870