共振附近本征相移和本征时滞的Beutler-Fano公式的识别
Identification of the Beutler-Fano formula in eigenphase shifts and eigentime delays near a resonance
摘要：
本文用适当的无量纲能量单位和谱线指数证明了一个离散态和两个连续体系统共振附近的本征相移和本征时滞是Beutler-Fano公式的泛函。负责避免交叉的特征相移和特征时间延迟的参数确定。同样，参数负责的特征时间延迟，由于帧的变化被确定。借助于新的参数，对S矩阵和时间延迟矩阵进行了与自旋模型的类比。所示的时间延迟矩阵包括三项，一个是由于谐振，一个是由于避免交叉相互作用，一个是由于帧变化。结果表明，由于避免了交叉干扰和帧间变换，系统的时延平方和为1。
英文摘要：
Eigenphase shifts and eigentime delays near a resonance for a system of one discrete state and two continua are shown to be functionals of the Beutler- Fano formulas using appropriate dimensionless energy units and line profile indices. Parameters responsible for the avoided crossing of eigenphase shifts and eigentime delays are identified. Similarly, parameters responsible for the eigentime delays due to a frame change are identified. With the help of new parameters, an analogy with the spin model is pursued for the S matrix and time delay matrix. The time delay matrix is shown to comprise three terms, one due to resonance, one due to a avoided crossing interaction, and one due to a frame change. It is found that the squared sum of time delays due to the avoided crossing interaction and frame change is unity.
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