Resonance Energies and Widths from the Poles of the Multichannel T Matrix (Physics)

该项目涉及计算共振能量和宽度的新方法的理论和数值发展，以及该方法在原子共振中的应用。通过在复动量平面上搜索多通道Schwinger T矩阵的极点来确定共振参数，包括部分宽度和共振通道波函数。该项目的步骤包括(1)实现多通道迭代程序，(2)开发在所有复杂能量区域稳定的多通道格林函数，(3)研究Schwinger T矩阵分母在复杂能量平面上的数值行为，以及(4)表征高原子共振。将应用于铍、氦和H-的共振态。

This project involves the theoretical and numerical development of a new method of calculating resonance energies and widths, together with the application of the method to atomic resonances. The resonance parameters, including partial widths and resonance channel wave functions, are determined by searching the complex momentum plane for the poles of the multichannel Schwinger T matrix. Steps in the project include (1) implementation of a multichannel iteration procedure, (2) development of multichannel Green's functions stable in all complex energy regions, (3) study of the numerical behavior of the Schwinger T matrix denominator in the complex energy plane and (4) characterization of higher atomic resonances. Applications will be made to the resonance states of beryllium, helium and H-.