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Spectral properties at a threshold for two-channel Hamiltonians II. Applications to scattering theory
Cardiff University. (School of Mathematics)
2001 (English)In: Journal of Mathematical Analysis and Applications, ISSN 0022-247X, E-ISSN 1096-0813, Vol. 256, no 2, 568-586 p.Article in journal (Refereed) Published
Abstract [en]

Spectral properties and scattering theory in the low-energy limit are investigated for two-channel Hamiltonians with Schrodinger operators as component Hamiltonians. In various, mostly fairly "singular" settings asymptotic expansions of the resolvent are deduced as the spectral parameter tends to the threshold zero. Furthermore scattering theory for pairs of two-channel Hamiltonians is established. As an application of the expansions of the resolvent, asymptotic expansions of the scattering matrix are derived as the energy parameter tends to the threshold zero. (C) 2001 Academic Press.

Place, publisher, year, edition, pages
2001. Vol. 256, no 2, 568-586 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-174120DOI: 10.1006/jmaa.2000.7326ISI: 000168106100015OAI: oai:DiVA.org:uu-174120DiVA: diva2:526499
Available from: 2012-05-13 Created: 2012-05-13 Last updated: 2017-12-07

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Melgaard, M

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