ON NUMERICAL-SOLUTION OF THE SCHRODINGER-EQUATION - THE SHOOTING METHOD REVISITED

Authors
INDJIN D TODOROVIC G MILANOVIC V IKONIC Z
Citation
D. Indjin et al., ON NUMERICAL-SOLUTION OF THE SCHRODINGER-EQUATION - THE SHOOTING METHOD REVISITED, Computer physics communications, 90(1), 1995, pp. 87-94
Citations number
16
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical","Computer Science Interdisciplinary Applications
Journal title
Computer physics communications → ACNP
ISSN journal
00104655
Volume
90
Issue
1
Year of publication
1995
Pages
87 - 94
Database
ISI
SICI code
0010-4655(1995)90:1<87:ONOTS->2.0.ZU;2-Z
Abstract
An alternative formulation of the ''shooting'' method for a numerical solution of the Schrodinger equation is described for cases of general asymmetric one-dimensional potential (planar geometry), and spherical ly symmetric potential. The method relies on matching the asymptotic w avefunctions and the potential core region wavefunctions, in course of finding bound states energies. It is demonstrated in the examples of Morse and Kratzer potentials, where a high accuracy of the calculated eigenvalues is found, together with a considerable saving of the compu tation time.