Approximation of general zero-range potentials
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.
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| Date: | 2000 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2000
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| Series: | Український математичний журнал |
| Subjects: | |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/157722 |
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| 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | 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. |
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