广义波算子：动力和定常情形及发散问题
Generalized wave operators: dynamical and stationary cases and divergence problem
摘要：
进一步发展了动力学和定常情况下的广义波算子理论的思想和结果，并得到了广泛类微分方程广义散射算子的精确表达式。导出了广义散射算子结构的新结果。有趣的相互关系动态和固定的情况下，发现径向薛定谔方程和狄拉克方程，以及狄拉克型方程。对于一些重要的例子，我们解释了为什么众所周知的发散在高阶近似的散射矩阵不出现在“广义波算子”的方法。
英文摘要：
Ideas and results of the generalized wave operator theory for dynamical and stationary cases are developed further and exact expressions for generalized scattering operators are obtained for wide classes of differential equations. New results on the structure of the generalized scattering operators are derived. Interesting interrelations between dynamical and stationary cases are found for radial Schrödinger and Dirac equations, and for Dirac-type equations as well. For some important examples we explain why the well-known divergences in the higher order approximations of the scattering matrices do not appear in the "generalized wave operator" approach.
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