Approximation of general zero-range potentials

• Published in: Український математичний журнал
• Date: 2000
• ISSN: 1027-3190
• Main Authors: Albeverio, S., Nizhnik, L.P.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2000
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/157722
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Approximation of general zero-range potentials / S. Albeverio, L.P. Nizhnik // Український математичний журнал. — 2000. — Т. 52, № 5. — С. 582–589. — Бібліогр.: 11 назв. —англ.

A norm resolvent convergence result is proved for approximations of general Schrodinger operators with zero-range potentials. An approximation of the δ’-interaction by nonlocal non-Hermitian potentials (without a renormalization of the coupling constant) is also constructed. Наведено результати про...