Exponential and Bessel fitting methods for the numerical solution of the Schrödinger equation

Raptis, AD; Cash, JR

dc.contributor.author	Raptis, AD	en
dc.contributor.author	Cash, JR	en
dc.date.accessioned	2014-03-01T01:06:52Z
dc.date.available	2014-03-01T01:06:52Z
dc.date.issued	1987	en
dc.identifier.issn	0010-4655	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9646
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0002779398&partnerID=40&md5=98cd1797e5db9ffa4e232828744b2a6a	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Physics, Mathematical	en
dc.title	Exponential and Bessel fitting methods for the numerical solution of the Schrödinger equation	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1987	en
heal.abstract	A new method is developed for the numerical integration of the one dimensional radial Schrödinger equation. This method involves using different integration formulae in different parts of the range of integration rather than using the same integration formula throughout. Two new integration formulae are derived, one which integrates Bessel and Neumann functions exactly and another which exactly integrates certain exponential functions. It is shown that, for large r, these new formulae are much more accurate than standard integration methods for the Schrödinger equation. The benefit of using this new approach is demonstrated by considering some numerical examples based on the Lennard-Jones potential. © 1987.	en
heal.publisher	ELSEVIER SCIENCE BV	en
heal.journalName	Computer Physics Communications	en
dc.identifier.isi	ISI:A1987H531900009	en
dc.identifier.volume	44	en
dc.identifier.issue	1-2	en
dc.identifier.spage	95	en
dc.identifier.epage	103	en