Finite difference boundary value method for solving one-dimensional eigenvalue equations

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Abstract

The finite difference boundary value method for obtaining eigenvalues and eigenfunctions of the one-dimensional Schroedinger equation is discussed. The method is noniterative and may be applied to one-dimensional problems on (- ∞, ∞) or to the radial equation on (0, ∞). A computer program which computes the eigenvalues and any desired matrix elements involving the eigenfunctions is available from Quantum Chemistry Program Exchange.

Original languageEnglish (US)
Pages (from-to)123-132
Number of pages10
JournalJournal of Computational Physics
Volume10
Issue number1
DOIs
StatePublished - Aug 1972

Bibliographical note

Funding Information:
The author is grateful to Dr. Nicholas W. Winter for much very helpful advice and to the refereef or helpful commentso n the manuscript.T his work was supportedi n part by the National Science Foundation, under grant number GP-28684.

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