2017
Том 69
№ 6

All Issues

On infinite-rank singular perturbations of the Schrödinger operator

Kuzhel' S. A., Vavrykovych L.

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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 ${\mathbb R}^3$.

English version (Springer): Ukrainian Mathematical Journal 60 (2008), no. 4, pp 563-573.

Citation Example: Kuzhel' S. A., Vavrykovych L. On infinite-rank singular perturbations of the Schrödinger operator // Ukr. Mat. Zh. - 2008. - 60, № 4. - pp. 487–496.

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