Spin 1/2 Particle with Two Masses in External Magnetic Field

Equation for spin 1/2 particle with two mass states is investigated in presence of magnetic field. The problem reduces to a system of 4 linked 2-nd order differential equations. After diagonalization of the mixing term, separate equations for four different functions are derived, in which the spectral parameters coincide with the roots of a 4-th order polynomial. Solutions are constructed in terms of confluent hyper-geometric functions; four series of energy spectrum are found. Numerical study of the spectra is performed. Physical energy levels for the two mass fermion differ from those for the ordinary Dirac fermion.

Авторы
Ovsiyuk E.M.1 , Veko O.V.2 , Voynova Y.A.2 , Red'kov V.M.2 , Kisel V.V.3 , Samsonenko N.V. 4
Издательство
INST MECHANICS CONTINUA & MATHEMATICAL SCIENCES
Язык
Английский
Страницы
651-660
Статус
Опубликовано
Год
2019
Организации
  • 1 Mozyr State Pedag Univ, Mozyr, BELARUS
  • 2 NAS Belarus, BI Stepanov Inst Phys, Minsk, BELARUS
  • 3 Belarusian State Univ Informat & Radioelect, Minsk, BELARUS
  • 4 RUDN Univ, Dept Theoret Phys, Moscow, Russia
Ключевые слова
spin 1/2 particle; two mass parameters; external magnetic field
Дата создания
24.12.2019
Дата изменения
24.12.2019
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/55814/
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