DOI: 10.1063/1.1673453. Quantum Mechanical Model of Three-Body Rearrangement Scattering. I. Formal Solution of the Helmholtz Equation on a Square

Quantum Mechanical Model of Three-Body Rearrangement Scattering. I. Formal Solution of the Helmholtz Equation on a Square

10.1063/1.1673453

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

Solutions of the Helmholtz equation (∂2 / ∂x2 + ∂2 / ∂y2 + k2 + 1)Ψ = 0 describing a simple scattering process in an L-shaped region are studied. To obtain the correct expansion for ψ(x, y) on the square corner of the L shape when k = 1, it is found necessary to replace terms sinkx siny and sinx sinky by sinx siny and (x cosx siny–y cosy sinx). Terms similar to the latter have been neglected by previous authors and spurious resonances found in consequence.

Bibliography

Robinson, P. D. (1970). Quantum Mechanical Model of Three-Body Rearrangement Scattering. I. Formal Solution of the Helmholtz Equation on a Square. The Journal of Chemical Physics, 52(6), 3175â3178.

Authors 1

Peter D. Robinson (first)

References 5 Referenced 17

10.1063/1.1670965 / J. Chem. Phys. (1969)
10.1063/1.1671165 / J. Chem. Phys. (1969)
10.1063/1.1723840 / J. Chem. Phys. (1943)
{'key': '2024020906153040800_r4'}
10.1063/1.1673454 / J. Chem. Phys. (1970)

Dates

Type	When
Created	21 years, 6 months ago (Feb. 6, 2004, 2:23 p.m.)
Deposited	1 year, 6 months ago (Feb. 9, 2024, 1:41 a.m.)
Indexed	1 year, 6 months ago (Feb. 9, 2024, 6:44 a.m.)
Issued	55 years, 5 months ago (March 15, 1970)
Published	55 years, 5 months ago (March 15, 1970)
Published Print	55 years, 5 months ago (March 15, 1970)

Funders 0

None

BibTeX

@article{Robinson_1970, title={Quantum Mechanical Model of Three-Body Rearrangement Scattering. I. Formal Solution of the Helmholtz Equation on a Square}, volume={52}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.1673453}, DOI={10.1063/1.1673453}, number={6}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Robinson, Peter D.}, year={1970}, month=mar, pages={3175–3178} }

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