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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Exact formulated approach to transition probabilities of linearly driven parametric oscillators
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Exact formulated approach to transition probabilities of linearly driven parametric oscillators

机译：线性驱动参数振荡器的转移概率的精确公式化方法

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摘要

The transition probabilities of linearly driven parametric oscillators that model collinear collisions of an atom and a diatomic molecule are studied within the formulation for treating the time evolution of time-dependent quadratic Hamiltonian systems. It is shown that the transition probabilities of three oscillator models: (i.e. the oscillator with varying effective mass and frequency plus linear potential, the harmonic oscillator with linear potential and the harmonic oscillator with linear plus quadratic potentials) obey the Poisson distribution in common, and evaluations of these probabilities are reduced to performing a simple operation and numerical integrations on time in terms of the parameters of the considered systems. The reasons for the difference between the previous results and ours are analyzed.
机译：在处理时间相关的二次哈密顿系统的时间演化的公式中，研究了模拟原子和双原子分子共线碰撞的线性驱动参数振荡器的跃迁概率。结果表明，三种振荡器模型的跃迁概率（即具有变化的有效质量和频率加线性电势的振荡器，具有线性电势的谐波振荡器和具有线性加二次电势的谐波振荡器）共同服从泊松分布，并且根据所考虑系统的参数，将这些概率的评估简化为按时执行简单的操作和数值积分。分析了先前结果与我们的结果之间存在差异的原因。

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