On infinite-rank singular perturbations of the Schrödinger operator

• Datum: 2008
• Hauptverfasser: Kuzhel', S. A., Vavrykovych, L., Кужіль, С. О., Ваврикович, Л.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2008
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3171
• Назва журналу: 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 ${\mathbb R}^3$.