论文标题
J-Matrix在一个维度中的散射方法：相对论理论
J-matrix method of scattering in one dimension: The relativistic theory
论文作者
论文摘要
我们对一维J-Matrix散射方法进行相对论扩展。相对论势矩阵是向量，标量和伪量表组件的组合。这些是非单明的短距离电势函数（不一定是分析），因此它们在平方集成基集的有限子集中得到了矩阵元素的很好表示，该集合支持了自由DIRAC运算符的Tridiagonal对称矩阵表示。计算出针对不同潜在耦合模式的传输和反射系数。这是两纸序列的第一个，我们在本部分中开发理论，然后在第二个序列中使用应用程序。
We make a relativistic extension of the one-dimensional J-matrix method of scattering. The relativistic potential matrix is a combination of vector, scalar, and pseudo-scalar components. These are non-singular short-range potential functions (not necessarily analytic) such that they are well represented by their matrix elements in a finite subset of a square integrable basis set that supports a tridiagonal symmetric matrix representation for the free Dirac operator. Transmission and reflection coefficients are calculated for different potential coupling modes. This is the first of a two-paper sequence where we develop the theory in this part then follow it with applications in the second.
