The compression of the resolvent of a non-self-adjoint Schrödinger operator \(-\Delta +V\) onto a subdomain \(\Omega \subset {\mathbb {R}}^n\) is expressed in a Kreĭn–Naĭmark type formula, where the Dirichlet realization on \(\Omega \), the Dirichlet-to-Neumann maps, and certain solution operators of closely related boundary value problems on \(\Omega \) and \({\mathbb {R}}^n\setminus {\overline{\Omega }}\) are being used. In a more abstract operator theory framework this topic is closely connected and very much inspired by the so-called coupling method that has been developed for the self-adjoint case by Henk de Snoo and his coauthors.

将非自伴Schrödinger运算符\（-\ Delta + V \）的分解体压缩到子域\（\ Omega \ subset {\ mathbb {R}} ^ n \）上以Kreĭn–Naĭmark表示。类型公式，其中\（\ Omega \）上的Dirichlet实现，Dirichlet-to-Neumann映射以及\（\ Omega \）和\（{\ mathbb {R}}上具有密切相关的边值问题的某些解算子^ n \ setminus {\ overline {\ Omega}} \）正在使用。在一个更抽象的算子理论框架中，该主题紧密相关，并且受到Henk de Snoo及其合作者针对自伴案例开发的所谓耦合方法的启发。