Resolutions of Identity for Some Non-Hermitian Hamiltonians. II. Proofs
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Resolutions of Identity for Some Non-Hermitian Hamiltonians. II. Proofs
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| Creator |
Sokolov, A.V.
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| 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.
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| Date |
2019-02-16T20:51:22Z
2019-02-16T20:51:22Z 2011 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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