Resolutions of Identity for Some Non-Hermitian Hamiltonians. I. Exceptional Point in Continuous Spectrum

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2011
• Автори: Andrianov, A.A., Sokolov, A.V.
• Формат: Стаття
• Мова: English
• Опубліковано: Інститут математики НАН України 2011
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/148088
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Resolutions of Identity for Some Non-Hermitian Hamiltonians. I. Exceptional Point in Continuous Spectrum / A.A. Andrianov, A.V. Sokolov // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 29 назв. — англ.

Resolutions of identity for certain non-Hermitian Hamiltonians constructed from biorthogonal sets of their eigen- and associated functions are given for the spectral problem defined on entire axis. Non-Hermitian Hamiltonians under consideration possess the continuous spectrum and the following pecul...