Resolvent formulas of general type and its application to point interactions
Resolvent formulas of general type and its application to point interactions
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一般型求解公式及其在点相互作用中的应用
DOI：
10.1007/pl00001381
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发表时间：
2001
影响因子：
1.4
通讯作者：
H. Nagatani
中科院分区：
文献类型：
--
作者：
S. Kuroda;H. Nagatani
抽象的。 Kiselev 和 Simon ([13]) 考虑了一般类型的一阶奇异扰动，并根据解析公式制定了这种扰动。在试图将其推广到一级情况之外时，发现该表达式在其一般性上描述了相当广泛的一类封闭运算符（或所有自共轭运算符）的解析结果。来自具有图范数的未扰动算子域的有界算子到其对偶空间将用作参数。作为一个应用点，将系统地讨论一维相互作用，重新捕获与问题相关的自伴边界条件。
Abstract. Kiselev and Simon ([13]) considered rank one singular perturbations of general type and formulate such perturbation in terms of a resolvent formula. In an attempt to generalize it beyond the rank one case, it is found that this expression in its generality describes resolvents of a rather wide class of closed operators (or all selfadjoint operators). Bounded operators from the domain of unperturbed operator with the graph norm to its dual space will serve as a parameter. As an application point interactions in one-dimension will be discussed systematically, recapturing selfadjoint boundary conditions associated to the problem.