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

被引：0

作者：

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
]}

机构：

[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

来源：

JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES | 2019年

关键词：

spin; 1/2; particle; two mass parameters; external magnetic field; STATES; EQUATION;

D O I：

10.26782/jmcms.2019.03.00065

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

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.

引用

页码：651 / 660

页数：10

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