Publication:
Self-adjoint extensions for a p4-corrected Hamiltonian of a particle on a finite interval

Дата
2022
Авторы
Dilem, B. B.
Fabris, J. C.
Nogueira, J. A.
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Научные группы
Организационные подразделения
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Организационная единица
Институт ядерной физики и технологий
Цель ИЯФиТ и стратегия развития - создание и развитие научно-образовательного центра мирового уровня в области ядерной физики и технологий, радиационного материаловедения, физики элементарных частиц, астрофизики и космофизики.
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Аннотация
In the present paper we deal with the issue of finding the self-adjoint extensions of a p4-corrected Hamiltonian. The importance of this subject lies on the application of the concepts of quantum mechanics to the minimal-length scale scenario which describes an effective theory of quantum gravity. We work in a finite one dimensional interval and we give the explicit U(4) parametrization that leads to the self-adjoint extensions. Once the parametrization is known, we can choose appropriate U(4) matrices to model physical problems. As examples, we discuss the infinite square-well, periodic conditions, anti-periodic conditions and periodic conditions up to a prescribed phase. We hope that the parametrization we found will contribute to model other interesting physical situations in further works. © 2022 Elsevier Inc.
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Цитирование
Dilem, B. B. Self-adjoint extensions for a p4-corrected Hamiltonian of a particle on a finite interval / Dilem, B.B., Fabris, J.C., Nogueira, J.A. // Annals of Physics. - 2022. - 444. - 10.1016/j.aop.2022.168994
URI
https://www.doi.org/10.1016/j.aop.2022.168994
 https://www.scopus.com/record/display.uri?eid=2-s2.0-85134310901&origin=resultslist
 http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000830819900002
 https://openrepository.mephi.ru/handle/123456789/28198
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