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

Домашня сторінка
→
Фізико-технічні та математичні науки
→
Відділення математики
→
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
→
Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7
→
Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7, випуск за цей рік
→
Переглянути статтю

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