An Algebraic Approach to the Collinear Collision N2 + N2 in the Semiclassical Approximation

被引：2

作者：

Santiago, R. D. ^{[1
]}

Alvarez-Bajo, O. ^{[2
]}

Arias, J. M. ^{[3
]}

Gomez-Camacho, J. ^{[3
]}

Lemus, R. ^{[1
]}

机构：

[1] Univ Nacl Autonoma Mexico, Inst Ciencias Nucl, Mexico City 04510, DF, Mexico

[2] Univ Huelva, Fac Ciencias Expt, Dept Fis Aplicada, Huelva 21071, Spain

[3] Univ Seville, Fac Fis, Dept Fis Atom Mol & Nucl, E-41080 Seville, Spain

来源：

INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY | 2012年 / 112卷 / 01期

关键词：

diatom-diatom collision; semiclassical approach; SU(2) dynamical algebra; Morse potential; system N-2 + N-2; VIBRATIONAL-ENERGY-TRANSFER; GROUP THEORETICAL APPROACH; 2; DIATOMIC-MOLECULES; SEMICLASSICAL APPROXIMATION; TRANSITION-PROBABILITIES; INELASTIC-COLLISIONS; MORSE OSCILLATOR; MODEL; ATOM; DYNAMICS;

D O I：

10.1002/qua.23144

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

An algebraic model to describe the collinear inelastic collision N-2 + N-2 in the semiclassical approximation is presented. The interactions for the diatomic systems are modeled in terms of Morse potentials, whereas an exponential function is taken for the interactions between the nearest atoms of the diatomic systems. This problem is treated in the interaction picture, where an approximation of the interaction potential in terms of the generators of three SU(2) groups is proposed, two corresponding to the Morse oscillators and the third one to the interaction. The transition probabilities are given in terms of a sum of products of three Wigner's d(beta) functions corresponding to the three SU(2) groups. Our results are compared with exact quantum mechanical calculations. (C) 2010 Wiley Periodicals, Inc. Int J Quantum Chem 112: 16-27, 2012

引用

页码：16 / 27

页数：12

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