论文标题

Neumann系列的贝塞尔功能表示,用于径向狄拉克系统的解决方案

A Neumann series of Bessel functions representation for solutions of the radial Dirac system

论文作者

Kravchenko, Vladislav V., Shishkina, Elina L., Torba, Sergii M.

论文摘要

获得了特殊形式的径向迪拉克系统的常规解的新表示。该解表示相对于光谱参数均匀收敛的Neumann系列Bessel函数。对于该系列的系数,给出了数值计算的方便复发整合公式。提出了数值示例。

A new representation for a regular solution of the radial Dirac system of a special form is obtained. The solution is represented as a Neumann series of Bessel functions uniformly convergent with respect to the spectral parameter. For the coefficients of the series convenient for numerical computation recurrent integration formulas are given. Numerical examples are presented.

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