A fourth-order Bessel fitting method for the numerical solution of the Schrödinger equation

Simos, TE; Raptis, AD

dc.contributor.author	Simos, TE	en
dc.contributor.author	Raptis, AD	en
dc.date.accessioned	2014-03-01T01:41:11Z
dc.date.available	2014-03-01T01:41:11Z
dc.date.issued	1992	en
dc.identifier.issn	03770427	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/23414
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0001515713&partnerID=40&md5=320cd6ac3cb607027d0913d686791453	en
dc.subject	Bessel and Neumann functions	en
dc.subject	Bessel fitting method	en
dc.subject	phase shift problem	en
dc.subject	Schrödinger equation	en
dc.title	A fourth-order Bessel fitting method for the numerical solution of the Schrödinger equation	en
heal.type	journalArticle	en
heal.publicationDate	1992	en
heal.abstract	A new fourth-order method is developed for the numerical integration of the one-dimensional radial Schrödinger equation. This method integrates Bessel and Neumann functions exactly. It is shown that, for large r, this new formula is much more accurate and rapid than the Bessel fitting method of second order which is developed by Raptis and Cash (1987). The benefit of using this new approach is demonstrated by considering some numerical examples based on the Lenard-Jones potential. © 1992.	en
heal.journalName	Journal of Computational and Applied Mathematics	en
dc.identifier.volume	43	en
dc.identifier.issue	3	en
dc.identifier.spage	313	en
dc.identifier.epage	322	en