Relativistic effects in one-dimensional hydrogen atomстатья
Информация о цитировании статьи получена из
Scopus
Статья опубликована в журнале из перечня ВАК
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 4 февраля 2014 г.
Аннотация:The dependence of stationary levels of a Dirac particle in the regularized Coulomb potential V δ(z) = −q/(|z| + δ) on the cutoff parameter δ is studied. It is shown that, in 1 + 1 D, the energy spectrum of a Dirac particle in such a potential reveals some specific features which nonanalytically depend on the coupling constant q and are essentially relativistic in nature. These properties turn out to be most important for δ ≪ 1, explicitly demonstrating the existence of a physically reasonable energy spectrum for an arbitrarily small δ > 0 and, at the same time, the absence of regular limit δ → 0 (hence, the absence of a well-defined spectral problem for the Dirac equation without regularization for arbitrary q in 1 + 1 D).