Change search
ReferencesLink to record
Permanent link

Direct link
Pade approximation of the S-matrix as a way of locating quantum resonances and bound states
Stockholm University, Faculty of Science, Department of Physics.
Stockholm University, Faculty of Science, Department of Physics.
2007 (English)In: J PHYS A-MATH THEOR, ISSN 1751-8113, Vol. 40, no 49, 14857-14869 p.Article in journal (Refereed) Published
Abstract [en]

It is shown that the spectral points (bound states and resonances) generated by a central potential of a single-channel problem, can be found using rational parametrization of the S-matrix. To achieve this, one only needs values of the S-matrix along the real positive energy axis. No calculations of the S-matrix at complex energies or a complex rotation are necessary. The proposed method is therefore universal in that it is applicable to any potential (local, non-local, discontinuous, etc) provided that there is a way of obtaining the S-matrix (or scattering phase shifts) at real collision energies. Besides this, combined with any method that extracts the phase shifts from the scattering data, the proposed rational parametrization technique would be able to do the spectral analysis using the experimental data.

Place, publisher, year, edition, pages
2007. Vol. 40, no 49, 14857-14869 p.
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-55246DOI: 10.1088/1751-8113/40/49/017ISI: 000251790100021OAI: oai:DiVA.org:su-55246DiVA: diva2:402426
Note
authorCount :3Available from: 2011-03-08 Created: 2011-03-07 Last updated: 2011-03-08Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text
By organisation
Department of Physics
Physical Sciences

Search outside of DiVA

GoogleGoogle Scholar

Altmetric score

Total: 11 hits
ReferencesLink to record
Permanent link

Direct link