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

Donald G. Truhlar

doi:10.1016/0021-9991(72)90094-0

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

Donald G. Truhlar

Chemistry (Twin Cities)

Research output: Contribution to journal › Article › peer-review

154 Scopus citations

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 language	English (US)
Pages (from-to)	123-132
Number of pages	10
Journal	Journal of Computational Physics
Volume	10
Issue number	1
DOIs	https://doi.org/10.1016/0021-9991(72)90094-0
State	Published - 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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10.1016/0021-9991(72)90094-0

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title = "Finite difference boundary value method for solving one-dimensional eigenvalue equations",

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.",

author = "Truhlar, \{Donald G.\}",

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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N2 - 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.

AB - 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.

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

Abstract

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