Tensorial factorization and rotationally inelastic collisions
Tensorial factorization and rotationally inelastic collisions
复制标题
张量分解和旋转非弹性碰撞
DOI：
10.1063/1.438328
复制
发表时间：
1979
影响因子：
4.4
通讯作者：
M. Alexander
中科院分区：
文献类型：
--
作者：
M. Alexander
由于转移或T-运算符是标量，它可以展开为变换为球面张量的运算符的乘积和。因此，旋转非弹性原子-分子碰撞的T矩阵可以分解为内部(旋转)自由度和相对(轨道)自由度的约化矩阵元素的乘积。这种独立于特定动力学近似的基本因式分解导致了广义截面标度关系。在突然的极限中，这些简化为先前由Goldflam、Kouri和Green导出的表达式[J.太棒了。67,5661(1977)]。从先前计算的T矩阵中，可以提取对应于贡献的各种张量阶的部分不透明度。这是在Ar-N2碰撞的情况下完成的。将球面张量因式分解推广到更复杂的双原子分子碰撞情形。根据张量分析讨论了最新的能隙模型。
Since the transition‐ or T‐operator is a scalar it can be expanded as a sum of products of operators which transform as spherical tensors. Consequently the T matrix for rotationally inelastic atom–molecule collisions can be factored into products of reduced matrix elements in the internal (rotational) and relative (orbital) degrees of freedom. This basic factorization, which is independent of specific dynamical approximations, leads to generalized cross section scaling relations. In the sudden limit these reduce to the expressions derived earlier by Goldflam, Kouri, and Green [J. Chem. Phys. 67, 5661 (1977)]. From previously computed T matrices one can extract partial opacities corresponding to the various tensor orders which contribute. This is done for the case of Ar–N2 collisions. The spherical tensor factorization is extended to the more complex case of collisions between two diatomic molecules. Recent energy‐gap models are discussed in light of the tensorial analysis developed here.