A Fortran program for the numerical integration of the one-dimensional Schrödinger equation using exponential and Bessel fitting methods

Cash, JR; Raptis, AD; Simos, TE

dc.contributor.author	Cash, JR	en
dc.contributor.author	Raptis, AD	en
dc.contributor.author	Simos, TE	en
dc.date.accessioned	2014-03-01T01:07:46Z
dc.date.available	2014-03-01T01:07:46Z
dc.date.issued	1990	en
dc.identifier.issn	0010-4655	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10150
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0025212351&partnerID=40&md5=3b7f0b1f04690ca109f78a8939a98517	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Physics, Mathematical	en
dc.subject.other	Computer Programming Languages--FORTRAN	en
dc.subject.other	Computer Programming--Algorithms	en
dc.subject.other	Bessel Fitting Methods	en
dc.subject.other	Error Control	en
dc.subject.other	Numerical Integration	en
dc.subject.other	Runge-Kutta Methods	en
dc.subject.other	Schroedinger Equation	en
dc.subject.other	Mathematical Techniques	en
dc.title	A Fortran program for the numerical integration of the one-dimensional Schrödinger equation using exponential and Bessel fitting methods	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1990	en
heal.abstract	An efficient algorithm is described for the accurate numerical integration of the one-dimensional Schrödinger equation. This algorithm uses a high-order, variable step Runge-Kutta like method in the region where the potential term dominates, and an exponential or Bessel fitted method in the asymptotic region. This approach can be used to compute scattering phase shifts in an efficient and reliable manner. A Fortran program which implements this algorithm is provided and some test results are given. © 1990.	en
heal.publisher	ELSEVIER SCIENCE BV	en
heal.journalName	Computer Physics Communications	en
dc.identifier.isi	ISI:A1990CR07100008	en
dc.identifier.volume	56	en
dc.identifier.issue	3	en
dc.identifier.spage	391	en
dc.identifier.epage	407	en