Laboratoire Aimé Cotton du CNRS, Ba^timent 505, Université de Paris-Sud, F-91405 Orsay, France.
J Chem Phys. 2013 Oct 28;139(16):164111. doi: 10.1063/1.4825335.
A time-dependent description is given of a scattering process involving a single resonance embedded in a set of flat continua. An analytical approach is presented which starts from an incident free particle wave packet and yields the Breit-Wigner cross-section formula at infinite times. We show that at intermediate times the so-called Wigner-Weisskopf approximation is equivalent to a scattering process involving a contact potential. Applications in cold-atom scattering and resonance enhanced desorption of molecules are discussed.
本文给出了一个在一组平坦连续体中嵌入单个共振的散射过程的时变描述。提出了一种从入射自由粒子波包出发的解析方法,在无限长时间下得到了 Breit-Wigner 截面公式。我们表明,在中间时间,所谓的 Wigner-Weisskopf 近似等效于涉及接触势的散射过程。讨论了冷原子散射和分子共振增强解吸中的应用。