On infinite-rank singular perturbations of the Schrödinger operator

• Date: 2008
• Main Authors: Kuzhel', S. A., Vavrykovych, L., Кужіль, С. О., Ваврикович, Л.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2008
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3171
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Schrodinger operators with infinite-rank singular potentials $\sum^\infty_{i,j=1}b_{i,j}(\psi_j,\cdot)\psi_i$ are studied under the condition that singular elements $\psi_j$ are $\xi_j(t)$-invariant with respect to scaling transformations in ${\mathbb R}^3$.