Schrödinger operators with a singular potential
This note is devoted to the study of some Schrödinger operators with a singular real potential Q. The potential Q is chosen so that the algebraic sum L=−Δ+Q is not defined. Next, we define the sum form operator which will be well defined and we show that this operator verifies the well-known Kato�...
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| Format: | Article |
| Language: | English |
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Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202007330 |
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| _version_ | 1850212731822538752 |
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| author | Toka Diagana |
| author_facet | Toka Diagana |
| author_sort | Toka Diagana |
| collection | DOAJ |
| description | This note is devoted to the study of some Schrödinger
operators with a singular real potential Q. The potential Q is chosen so that the algebraic sum L=−Δ+Q is not defined. Next, we define the sum form operator which will be well defined and we show that this operator verifies the well-known Kato's square root problem. |
| format | Article |
| id | doaj-art-8a1ebff7380c47b7b7f1f11aa064f856 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-8a1ebff7380c47b7b7f1f11aa064f8562025-08-20T02:09:17ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0129637137310.1155/S0161171202007330Schrödinger operators with a singular potentialToka Diagana0Department of Mathematics, Howard University, 2441 Sixth Street, NW, Washington, DC 20059, USAThis note is devoted to the study of some Schrödinger operators with a singular real potential Q. The potential Q is chosen so that the algebraic sum L=−Δ+Q is not defined. Next, we define the sum form operator which will be well defined and we show that this operator verifies the well-known Kato's square root problem.http://dx.doi.org/10.1155/S0161171202007330 |
| spellingShingle | Toka Diagana Schrödinger operators with a singular potential International Journal of Mathematics and Mathematical Sciences |
| title | Schrödinger operators with a singular potential |
| title_full | Schrödinger operators with a singular potential |
| title_fullStr | Schrödinger operators with a singular potential |
| title_full_unstemmed | Schrödinger operators with a singular potential |
| title_short | Schrödinger operators with a singular potential |
| title_sort | schrodinger operators with a singular potential |
| url | http://dx.doi.org/10.1155/S0161171202007330 |
| work_keys_str_mv | AT tokadiagana schrodingeroperatorswithasingularpotential |