Resolutions of Identity for Some Non-Hermitian Hamiltonians. II. Proofs
This part is a continuation of the Part I where we built resolutions of identity for certain non-Hermitian Hamiltonians constructed of biorthogonal sets of their eigen- and associated functions for the spectral problem defined on entire axis. Non-Hermitian Hamiltonians under consideration are taken...
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| Дата: | 2011 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
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Інститут математики НАН України
2011
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/148089 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Resolutions of Identity for Some Non-Hermitian Hamiltonians. II. Proofs / A.V. Sokolov // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 4 назв. — англ. |
Репозитарії
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irk-123456789-1480892019-02-17T01:23:10Z Resolutions of Identity for Some Non-Hermitian Hamiltonians. II. Proofs Sokolov, A.V. This part is a continuation of the Part I where we built resolutions of identity for certain non-Hermitian Hamiltonians constructed of biorthogonal sets of their eigen- and associated functions for the spectral problem defined on entire axis. Non-Hermitian Hamiltonians under consideration are taken with continuous spectrum and the following cases are examined: an exceptional point of arbitrary multiplicity situated on a boundary of continuous spectrum and an exceptional point situated inside of continuous spectrum. In the present work the rigorous proofs are given for the resolutions of identity in both cases. 2011 Article Resolutions of Identity for Some Non-Hermitian Hamiltonians. II. Proofs / A.V. Sokolov // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 4 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 81Q60; 81R15; 47B15 DOI: http://dx.doi.org/10.3842/SIGMA.2011.112 http://dspace.nbuv.gov.ua/handle/123456789/148089 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
This part is a continuation of the Part I where we built resolutions of identity for certain non-Hermitian Hamiltonians constructed of biorthogonal sets of their eigen- and associated functions for the spectral problem defined on entire axis. Non-Hermitian Hamiltonians under consideration are taken with continuous spectrum and the following cases are examined: an exceptional point of arbitrary multiplicity situated on a boundary of continuous spectrum and an exceptional point situated inside of continuous spectrum. In the present work the rigorous proofs are given for the resolutions of identity in both cases. |
| format |
Article |
| author |
Sokolov, A.V. |
| spellingShingle |
Sokolov, A.V. Resolutions of Identity for Some Non-Hermitian Hamiltonians. II. Proofs Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Sokolov, A.V. |
| author_sort |
Sokolov, A.V. |
| title |
Resolutions of Identity for Some Non-Hermitian Hamiltonians. II. Proofs |
| title_short |
Resolutions of Identity for Some Non-Hermitian Hamiltonians. II. Proofs |
| title_full |
Resolutions of Identity for Some Non-Hermitian Hamiltonians. II. Proofs |
| title_fullStr |
Resolutions of Identity for Some Non-Hermitian Hamiltonians. II. Proofs |
| title_full_unstemmed |
Resolutions of Identity for Some Non-Hermitian Hamiltonians. II. Proofs |
| title_sort |
resolutions of identity for some non-hermitian hamiltonians. ii. proofs |
| publisher |
Інститут математики НАН України |
| publishDate |
2011 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/148089 |
| citation_txt |
Resolutions of Identity for Some Non-Hermitian Hamiltonians. II. Proofs / A.V. Sokolov // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 4 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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AT sokolovav resolutionsofidentityforsomenonhermitianhamiltoniansiiproofs |
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2023-05-20T17:28:54Z |
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2023-05-20T17:28:54Z |
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1796153399633248256 |