Dirac初值问题与Darboux变换Dirac问题的Green函数全迹之间的关系
Relation between full traces of Green functions for initial and Darboux transformed Dirac problems
摘要：
本文建立了具有最一般位势形式的一维二分量Dirac问题的初边值问题与达布变换后的问题的格林函数全迹之间的关系。利用所得结果检验了具有某些典型边界条件的初始Dirac问题的本征函数集经达布变换得到的波函数集的完备性。
英文摘要：
We establish the relation between full traces of the Green functions for some initial and the Darboux transformed one-dimensional two component Dirac problems with the most general form of potential. The result is used to check the completeness of set of wave functions obtained by the Darboux transformation of the eigenfunctions set for the initial Dirac problem with some typical boundary conditions.
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