On infinite-rank singular perturbations of the Schrödinger operator

  • S. A. Kuzhel'
  • L. Vavrykovych

Abstract

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 ${\mathbb R}^3$.
Published
25.04.2008
How to Cite
Kuzhel’, S. A., and L. Vavrykovych. “On Infinite-Rank Singular Perturbations of the Schrödinger Operator”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, no. 4, Apr. 2008, pp. 487–496, https://umj.imath.kiev.ua/index.php/umj/article/view/3171.
Section
Research articles