Statistics of energy levels in the quantum treatment of an elementary reaction
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- 作者：Grossi ; Gaia ; Peroncelli ; Leonardo ; et. al.
- 刊名：Chemical Physics Letters
- 出版年：1999
- 出版时间：November 12, 1999
- 年：1999
- 卷：313
- 期：3-4
- 页码：639-646
- 全文大小：308 K
文摘
Statistical tests (NNLSD, Δ3 of Dyson and Mehta, correlation coefficients) are applied to the adiabatic energy level distribution of the prototypical reaction F+H2→HF+H, depending parametrically on the three-body total inertia measured by the hyperradius ρ. As a function of ρ (proposed as a natural control variable for the quantum mechanical three-body problem), a transition can be identified. At high ρ, the situation of separate partners of the reaction shows a Poissonian behavior while, at low ρ, the transition state (where the triatom can be viewed as a system of coupled oscillators) exhibits some Wigner-like features as signatures of quantum chaos.