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Exotic Fermions in Kadyshevsky’s Theory and the Possibility to Detect Them​

Наименование публикации:Exotic Fermions in Kadyshevsky’s Theory and the Possibility to Detect Them​Авторы:Родионов В. Н. 
Тематическая область:Физика
Вид публикации:Статья в журнале
Электронная публикация:НетЯзык издания:АнглийскийГод издания:2017Страна издания: Соединенные Штаты Наименование журнала или сборника:Physics of Particles and NucleiНомер журнала (с указанием года):Vol. 48, № 2 (2017)Наименование издательства:Pleiades Publishing, Ltd (Род-Таун) Код ISSN или ISBN:ISSN 1063-7796Количество страниц:14Количество печатных листов:0,875Тираж, экз:1800Издание:Издание РАН,
Издание перечня ВАК
Библиографическая ссылка:Rodionov V. N. Exotic Fermions in Kadyshevsky’s Theory and the Possibility to Detect Them // Physics of Particles and Nuclei. 2017. Vol. 48. No. 2. Рp. 319–331.Аннотация (реферат):

The principal research interest of V.G. Kadyshevsky was the development of a geometric approach to quantum field theory with a constraint imposed on the mass spectrum of elementary particles. Non-Hermitian operators arising in this case seemed to be a major obstacle to the development of a consistent theory. These issues have been resolved recently, and the introduction of the pseudo-Hermitian algebraic approach to the construction of quantum theory was a major advance in this physical research. The central point of such theories is the construction of PT-symmetric non-Hermitian Hamiltonians with real eigenvalues. It is important to note that both purely theoretical and experimental studies (e.g., in non-Hermitian optics) are found among the many published papers on this subject. Therefore, we believe that the development of pseudo-Hermitian relativistic quantum theory with a maximal mass may provide favorable opportunities to discuss the possible experimental verification of theoretical results obtained in this field. Kadyshevsky himself regarded the hypothesis of existence of new particles, which he called exotic fermions, as an important prediction of his theory. The possibility of discovery of exotic neutrinos in precision experiments on the determination of the neutrino mass is discussed in the present study.

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