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Improved amplitude-phase method for complex angular momentum analysis
KTH, School of Engineering Sciences (SCI), Mechanics.ORCID iD: 0000-0003-0149-341X
2005 (English)In: Journal of Physics A: Mathematical and General, ISSN 0305-4470, E-ISSN 1361-6447, Vol. 38, no 33, 7363-7375 p.Article in journal (Refereed) Published
Abstract [en]

An amplitude-phase formula for the S matrix using two Milne solutions and the regular Schrodinger solution is derived. The formula is particularly useful in the analysis of Regge poles located far out in the complex e-plane, particularly for discontinuous scattering potentials. Numerical applications for an attractive square-well potential and an inverse-power potential similar to r(-4) are presented.

Place, publisher, year, edition, pages
2005. Vol. 38, no 33, 7363-7375 p.
Keyword [en]
regge-pole positions, ermakov-lewis type, schrodinger-equation, differential-equation, singular potentials, numerical-solutions, wave mechanics, s-matrix, scattering, invariants
Identifiers
URN: urn:nbn:se:kth:diva-15039DOI: 10.1088/0305-4470/38/33/010ISI: 000231848100013Scopus ID: 2-s2.0-23744514139OAI: oai:DiVA.org:kth-15039DiVA: diva2:333080
Note
QC 20100525Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2017-12-12Bibliographically approved

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Thylwe, Karl-Erik

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