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On Calculations of Legendre Functions and Associated Legendre Functions of the First Kind of Complex Degree
KTH, School of Engineering Sciences (SCI), Mechanics, Theoretical and Applied Mechanics.ORCID iD: 0000-0003-0149-341X
2015 (English)In: Communications in Theoretical Physics, ISSN 0253-6102, E-ISSN 1572-9494, Vol. 64, no 1, 9-12 p.Article in journal (Refereed) Published
Abstract [en]

Formulas for calculating Legendre functions and associated Legendre functions of the first kind of complex degree using an Ermakov-Lewis invariant are presented. These formulas are straight-forward to implement numerically and are motivated by the lack of computational routines in standard university tools like those of Mat Lab and Maple. Angular waves propagating in opposite directions are also obtained. The results are particularly useful in complex angular momentum theories and nearside/farside analysis of spin-dependent angular scattering from central potentials.

Place, publisher, year, edition, pages
2015. Vol. 64, no 1, 9-12 p.
Keyword [en]
ordinary differential equations, scattering theory
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URN: urn:nbn:se:kth:diva-173783ISI: 000360216500002Scopus ID: 2-s2.0-84937011074OAI: oai:DiVA.org:kth-173783DiVA: diva2:855262
Note

QC 20150921

Available from: 2015-09-21 Created: 2015-09-18 Last updated: 2017-12-04Bibliographically approved

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Thylwe, Karl-Erik

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