Finding of the Metric Operator for a Quasi-Hermitian Model
We consider on an appropriate Sobolev space a non-Hermitian Hamiltonian depending on the two complex parameters α and β and having real spectrum. We derive a closed formula for a family of the metric operators, which render the Hamiltonian Hermitian. In some particular cases, we calculate the Herm...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2013/716109 |
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| _version_ | 1850236916988903424 |
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| author | Ebru Ergun |
| author_facet | Ebru Ergun |
| author_sort | Ebru Ergun |
| collection | DOAJ |
| description | We consider on an appropriate Sobolev space a non-Hermitian Hamiltonian depending on the two complex parameters α and β and having real spectrum. We derive a closed formula for a family of the metric operators, which render the Hamiltonian Hermitian. In some particular cases, we calculate the Hermitian counterpart of . |
| format | Article |
| id | doaj-art-1be5c5550fa14e7d9a12d46e00d64255 |
| institution | OA Journals |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-1be5c5550fa14e7d9a12d46e00d642552025-08-20T02:01:51ZengWileyJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/716109716109Finding of the Metric Operator for a Quasi-Hermitian ModelEbru Ergun0Department of Mathematics, Karabuk University, 78050 Karabuk, TurkeyWe consider on an appropriate Sobolev space a non-Hermitian Hamiltonian depending on the two complex parameters α and β and having real spectrum. We derive a closed formula for a family of the metric operators, which render the Hamiltonian Hermitian. In some particular cases, we calculate the Hermitian counterpart of .http://dx.doi.org/10.1155/2013/716109 |
| spellingShingle | Ebru Ergun Finding of the Metric Operator for a Quasi-Hermitian Model Journal of Function Spaces and Applications |
| title | Finding of the Metric Operator for a Quasi-Hermitian Model |
| title_full | Finding of the Metric Operator for a Quasi-Hermitian Model |
| title_fullStr | Finding of the Metric Operator for a Quasi-Hermitian Model |
| title_full_unstemmed | Finding of the Metric Operator for a Quasi-Hermitian Model |
| title_short | Finding of the Metric Operator for a Quasi-Hermitian Model |
| title_sort | finding of the metric operator for a quasi hermitian model |
| url | http://dx.doi.org/10.1155/2013/716109 |
| work_keys_str_mv | AT ebruergun findingofthemetricoperatorforaquasihermitianmodel |