A 4TH-ORDER BESSEL FITTING METHOD FOR THE NUMERICAL-SOLUTION OF THE SCHRODINGER-EQUATION

SIMOS, TE; RAPTIS, AD

dc.contributor.author	SIMOS, TE	en
dc.contributor.author	RAPTIS, AD	en
dc.date.accessioned	2014-03-01T01:41:18Z
dc.date.available	2014-03-01T01:41:18Z
dc.date.issued	1992	en
dc.identifier.issn	0377-0427	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/23456
dc.subject	SCHRODINGER EQUATION	en
dc.subject	BESSEL AND NEUMANN FUNCTIONS	en
dc.subject	BESSEL FITTING METHOD	en
dc.subject	PHASE SHIFT PROBLEM	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	BACKWARD DIFFERENTIATION METHODS	en
dc.subject.other	TRIGONOMETRIC POLYNOMIALS	en
dc.subject.other	INTEGRATION	en
dc.subject.other	FAMILIES	en
dc.subject.other	INTERPOLATION	en
dc.title	A 4TH-ORDER BESSEL FITTING METHOD FOR THE NUMERICAL-SOLUTION OF THE SCHRODINGER-EQUATION	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1992	en
heal.abstract	A new fourth-order method is developed for the numerical integration of the one-dimensional radial Schrodinger 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.	en
heal.publisher	ELSEVIER SCIENCE BV	en
heal.journalName	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS	en
dc.identifier.isi	ISI:A1992KE17600003	en
dc.identifier.volume	43	en
dc.identifier.issue	3	en
dc.identifier.spage	313	en
dc.identifier.epage	322	en