T-matrix scaling relations: Necessary and sufficient conditions for the existence of dynamically invariant scaling coefficients

Larry Eno; Britton Chang; Herschel Rabitz

doi:10.1063/1.447053

T-matrix scaling relations: Necessary and sufficient conditions for the existence of dynamically invariant scaling coefficients

Larry Eno, Britton Chang, Herschel Rabitz

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Abstract

It is well established that a multiplicative in internal coordinates transition operator is a sufficient condition for the existence of dynamically invariant scaling coefficients. Here we show that by defining the dynamical invariance of the scaling coefficients with respect to a Lippman-Schwinger equation of motion, the same multiplicative in internal coordinates transition operator arises as a necessary condition.

Original language	English (US)
Pages (from-to)	2598-2601
Number of pages	4
Journal	The Journal of chemical physics
Volume	80
Issue number	6
DOIs	https://doi.org/10.1063/1.447053
State	Published - 1983

All Science Journal Classification (ASJC) codes

General Physics and Astronomy
Physical and Theoretical Chemistry

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10.1063/1.447053

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title = "T-matrix scaling relations: Necessary and sufficient conditions for the existence of dynamically invariant scaling coefficients",

abstract = "It is well established that a multiplicative in internal coordinates transition operator is a sufficient condition for the existence of dynamically invariant scaling coefficients. Here we show that by defining the dynamical invariance of the scaling coefficients with respect to a Lippman-Schwinger equation of motion, the same multiplicative in internal coordinates transition operator arises as a necessary condition.",

author = "Larry Eno and Britton Chang and Herschel Rabitz",

year = "1983",

doi = "10.1063/1.447053",

language = "English (US)",

volume = "80",

pages = "2598--2601",

journal = "The Journal of chemical physics",

issn = "0021-9606",

publisher = "American Institute of Physics Publising LLC",

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T1 - T-matrix scaling relations

T2 - Necessary and sufficient conditions for the existence of dynamically invariant scaling coefficients

AU - Eno, Larry

AU - Chang, Britton

AU - Rabitz, Herschel

PY - 1983

Y1 - 1983

N2 - It is well established that a multiplicative in internal coordinates transition operator is a sufficient condition for the existence of dynamically invariant scaling coefficients. Here we show that by defining the dynamical invariance of the scaling coefficients with respect to a Lippman-Schwinger equation of motion, the same multiplicative in internal coordinates transition operator arises as a necessary condition.

AB - It is well established that a multiplicative in internal coordinates transition operator is a sufficient condition for the existence of dynamically invariant scaling coefficients. Here we show that by defining the dynamical invariance of the scaling coefficients with respect to a Lippman-Schwinger equation of motion, the same multiplicative in internal coordinates transition operator arises as a necessary condition.

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U2 - 10.1063/1.447053

DO - 10.1063/1.447053

M3 - Article

AN - SCOPUS:36549093525

SN - 0021-9606

VL - 80

SP - 2598

EP - 2601

JO - The Journal of chemical physics

JF - The Journal of chemical physics

IS - 6

ER -

T-matrix scaling relations: Necessary and sufficient conditions for the existence of dynamically invariant scaling coefficients

Abstract

All Science Journal Classification (ASJC) codes

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