Common trajectory methods for the calculation of differential cross sections for inelastic transitions in atom(ion)-atom collisions. I. General theory
Common trajectory methods for the calculation of differential cross sections for inelastic transitions in atom(ion)-atom collisions. I. General theory
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用于计算原子（离子）-原子碰撞中非弹性转变的微分截面的常用轨迹方法。
DOI：
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发表时间：
1975
期刊：
影响因子：
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通讯作者：
A. Riera
中科院分区：
文献类型：
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作者：
C. Gaussorgues;C. Sech;F. Masnou;R. McCarroll;A. Riera
从量子力学方程的部分波分解出发，提出了慢速原子（离子）-原子碰撞中非弹性转变的半经典理论的系统发展。讨论了原子和分子表示。结果表明，平均势的引入将半经典方程简化为众所周知的冲击参数方程；经典轨迹和经典碰撞平面的概念是半经典近似的自然结果。随后推导出非弹性转变的微分散射截面的表达式。讨论了与直线 eikonal 近似的联系。
Starting from a partial wave decomposition of the quantum-mechanical equations, a systematic development of the semiclassical theory of inelastic transitions in slow atom(ion)-atom collisions is presented. Both atomic and molecular representations are discussed. It is shown that the introduction of an average potential reduces the semiclassical equations to the well known impact parameter equations; the notions of the classical trajectory and the classical collision plane arise as a natural consequence of the semiclassical approximation. Expressions for the differential scattering cross sections for inelastic transitions are subsequently derived. The connection with the straight line eikonal approximation is discussed.