Matrix shape approach to scattering theory

Herschel A. Rabitz

doi:10.1063/1.1675536

Matrix shape approach to scattering theory

Herschel A. Rabitz

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

15 Scopus citations

Abstract

A nonperturbative method of solving scattering problems is presented. It is based on the shape of the potential matrices involved. The matrices are expanded in a basis set whose arguments are the quantum numbers of the system. The resulting set of simultaneous linear equations is easily solved. A numerical example of collinear collisions of an atom and a diatomic vibrator is considered, and the effect of potential matrix shape on the inelastic transition probabilities is investigated.

Original language	English (US)
Pages (from-to)	407-423
Number of pages	17
Journal	The Journal of chemical physics
Volume	55
Issue number	1
DOIs	https://doi.org/10.1063/1.1675536
State	Published - 1971
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Physics and Astronomy
Physical and Theoretical Chemistry

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10.1063/1.1675536

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title = "Matrix shape approach to scattering theory",

abstract = "A nonperturbative method of solving scattering problems is presented. It is based on the shape of the potential matrices involved. The matrices are expanded in a basis set whose arguments are the quantum numbers of the system. The resulting set of simultaneous linear equations is easily solved. A numerical example of collinear collisions of an atom and a diatomic vibrator is considered, and the effect of potential matrix shape on the inelastic transition probabilities is investigated.",

author = "Rabitz, {Herschel A.}",

year = "1971",

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PY - 1971

Y1 - 1971

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AB - A nonperturbative method of solving scattering problems is presented. It is based on the shape of the potential matrices involved. The matrices are expanded in a basis set whose arguments are the quantum numbers of the system. The resulting set of simultaneous linear equations is easily solved. A numerical example of collinear collisions of an atom and a diatomic vibrator is considered, and the effect of potential matrix shape on the inelastic transition probabilities is investigated.

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DO - 10.1063/1.1675536

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JO - The Journal of chemical physics

JF - The Journal of chemical physics

IS - 1

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Matrix shape approach to scattering theory

Abstract

All Science Journal Classification (ASJC) codes

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