求解量子散射理论反问题的代数方法
An algebraic method for solving the inverse problem of quantum scattering theory
摘要：
基于Marchenko理论，提出了一种新的求解量子散射理论反问题的代数方法。我们应用三角波集的Marchenko方程的核展开的可分离的形式。可分离的形式允许减少的马尔琴科方程的线性方程组。对于零轨道角动量，得到了核展开系数的线性表达式，该表达式由依赖于动量q的函数的傅里叶级数系数表示，并由q的有限范围上的散射数据确定.
英文摘要：
We present a new algebraic method for solving the inverse problem of quantum scattering theory based on the Marchenko theory. We applied a triangular wave set for the Marchenko equation kernel expansion in a separable form. The separable form allows a reduction of the Marchenko equation to a system of linear equations. For the zero orbital angular momentum, a linear expression of the kernel expansion coefficients is obtained in terms of the Fourier series coefficients of a function depending on the momentum q and determined by the scattering data on the finite range of q.
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