DOI: 10.1063/1.1674015. Noniterative Solutions of Integral Equations for Scattering. IV. Preliminary Calculations for Coupled Open Channels and Coupled Eigenvalue Problems

Noniterative Solutions of Integral Equations for Scattering. IV. Preliminary Calculations for Coupled Open Channels and Coupled Eigenvalue Problems

10.1063/1.1674015

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

The homogeneous integral solution formalism developed by Sams and Kouri is illustrated for coupled open channel scattering calculations and coupled eigenvalue calculations. This method for scattering calculations compares favorably, both in accuracy and in computation time required, with the Lester–Bernstein close coupling solution of the differential equations for scattering and the Johnson–Secrest amplitude density method. Preliminary results for coupled eigenvalue integral equations are also encouraging. A simple technique for applying the quantization condition in searching for the eigenvalues of coupled integral equations is presented, and is employed in the calculations reported. Example results are given for 16, 23, and 30 coupled scattering channels and for 1, 2, and 3, coupled integral eigenvalue equations.

Bibliography

Sams, W. N., & Kouri, D. J. (1970). Noniterative Solutions of Integral Equations for Scattering. IV. Preliminary Calculations for Coupled Open Channels and Coupled Eigenvalue Problems. The Journal of Chemical Physics, 53(2), 496â501.

Authors 2

W. Neal Sams (first)
Donald J. Kouri (additional)

References 10 Referenced 46

10.1063/1.1671871 / J. Chem. Phys. (1969)
10.1063/1.1671872 / J. Chem. Phys. (1969)
10.1063/1.1673622 / J. Chem. Phys. (1970)
10.1063/1.1668153 / J. Chem. Phys. (1968)
10.1016/0009-2614(67)80046-0 / Chem. Phys. Letters (1967)
10.1063/1.1671699 / J. Chem. Phys. (1969)
10.1063/1.1671934 / J. Chem. Phys. (1969)
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Dates

Type	When
Created	21 years, 6 months ago (Feb. 6, 2004, 3:15 p.m.)
Deposited	1 year, 6 months ago (Feb. 9, 2024, 1:59 a.m.)
Indexed	1 year, 6 months ago (Feb. 10, 2024, 12:32 p.m.)
Issued	55 years, 1 month ago (July 15, 1970)
Published	55 years, 1 month ago (July 15, 1970)
Published Print	55 years, 1 month ago (July 15, 1970)

Funders 0

None

BibTeX

@article{Sams_1970, title={Noniterative Solutions of Integral Equations for Scattering. IV. Preliminary Calculations for Coupled Open Channels and Coupled Eigenvalue Problems}, volume={53}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.1674015}, DOI={10.1063/1.1674015}, number={2}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Sams, W. Neal and Kouri, Donald J.}, year={1970}, month=jul, pages={496–501} }

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