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Resolutions of Identity for Some Non-Hermitian Hamiltonians. II. Proofs

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dc.contributor.author Sokolov, A.V.
dc.date.accessioned 2019-02-16T20:51:22Z
dc.date.available 2019-02-16T20:51:22Z
dc.date.issued 2011
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
dc.identifier.other 2010 Mathematics Subject Classification: 81Q60; 81R15; 47B15
dc.identifier.other DOI: http://dx.doi.org/10.3842/SIGMA.2011.112
dc.identifier.uri http://dspace.nbuv.gov.ua/handle/123456789/148089
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
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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