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dc.contributor.author |
Sokolov, A.V. |
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dc.date.accessioned |
2019-02-16T20:51:22Z |
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dc.date.available |
2019-02-16T20:51:22Z |
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dc.date.issued |
2011 |
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dc.identifier.citation |
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. |
uk_UA |
dc.identifier.issn |
1815-0659 |
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dc.identifier.other |
2010 Mathematics Subject Classification: 81Q60; 81R15; 47B15 |
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dc.identifier.other |
DOI: http://dx.doi.org/10.3842/SIGMA.2011.112 |
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dc.identifier.uri |
http://dspace.nbuv.gov.ua/handle/123456789/148089 |
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dc.description.abstract |
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. |
uk_UA |
dc.description.sponsorship |
This paper is a contribution to the Proceedings of the Workshop “Supersymmetric Quantum Mechanics and Spectral Design” (July 18–30, 2010, Benasque, Spain). The full collection is available at http://www.emis.de/journals/SIGMA/SUSYQM2010.html.
This work was supported by Grant RFBR 09-01-00145-a and by the SPbSU project 11.0.64.2010. |
uk_UA |
dc.language.iso |
en |
uk_UA |
dc.publisher |
Інститут математики НАН України |
uk_UA |
dc.relation.ispartof |
Symmetry, Integrability and Geometry: Methods and Applications |
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dc.title |
Resolutions of Identity for Some Non-Hermitian Hamiltonians. II. Proofs |
uk_UA |
dc.type |
Article |
uk_UA |
dc.status |
published earlier |
uk_UA |
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