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Zero-mass fermions in Coulomb and Aharonov--bohm potentials in 2+1 dimensionsстатья
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 24 июня 2015 г.
- Автор: Khalilov V.R.
- Журнал: Theoretical and Mathematical Physics
- Том: 175
- Номер: 2
- Год издания: 2013
- Издательство: Pleiades Publishing, Ltd
- Местоположение издательства: Road Town, United Kingdom
- Первая страница: 637
- Последняя страница: 654
- DOI: 10.1007/s11232-013-0052-y
- Аннотация: We consider the motion of a relativistic charged zero-mass fermion in Coulomb and Aharonov–Bohm potentials in 2+1 dimensions. With these singular external potentials, we construct one-parameter self-adjoint Dirac Hamiltonians classified by self-adjoint boundary conditions. We show that if the so-called effective charge becomes overcritical, then virtual (quasistationary) bound states occur. The wave functions corresponding to these states have large amplitudes near the Coulomb center, and their energy spectrum is quasidiscrete and consists of a number of broadened levels of a width related to the inverse lifetime of the quasistationary state. We derive equations for the quasidiscrete spectra and quasistationary state lifetimes and solve these equations in physically interesting cases. We study the so-called local densities of state, which can be assessed in physical experiments, as functions of the energy and the problem parameters, investigating these densities both analytically and graphically.
- Добавил в систему: Халилов Владислав Рустемович