Fermion with three mass parameters in the uniform magnetic field

Izvestiia Sibirskogo otdeleniia sektsii nauk o Zemle Rossiiskoi akademii estestvennykh nauk Geologiia razvedka i razrabotka mestorozhdenii poleznykh iskopaemykh Pub Date : 2023-09-21 DOI:10.19110/1994-5655-2023-4-77-87

E. Ovsiyuk, A. Safronov, A. Koral'kov, Ya. Voynova

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Abstract

Recently, models for a spin 1/2 particle with two (or three) mass parameters were developed. Specific features of these models are as follows. For corresponding two (or three) bispinors in absence of external fields, separate Diraclike equations are derived, they differ in masses. However, in presence of external electromagnetic or gravitational fields with non-vanishing Ricci scalar, the wave equation for bispinors does not split into separated equations but makes quite a definite mixing of two (or three) equations arises. In the present paper, the model of a fermion with three mass parameters is studied in presence of the external uniform magnetics field. After performing a diagonalizing transformation, three separate equations are obtained for particles with different anomalous magnetic moments. Their exact solutions and generalized energy spectra are found

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在均匀磁场中具有三个质量参数的费米子

最近，自旋为1/2的粒子有两个(或三个) 开发了质量参数。这些模型如下。对于对应的两个(or 三)双导在没有外场时，分开狄拉克推导出方程，它们的质量不同。然而,& # x0D;在外部电磁或引力存在的情况下;具有非消失Ricci标量场，的波动方程;bispinors不会分解成独立的方程，而是生成出现了两个(或三个)方程的相当明确的混合。上的# x0D;本文建立了具有三个质量参数的费米子模型在外均匀磁存在下进行了研究字段。执行对角化变换后，对于不同的粒子，得到了三个独立的方程;反常磁矩。它们的精确解得到了广义能谱

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Izvestiia Sibirskogo otdeleniia sektsii nauk o Zemle Rossiiskoi akademii estestvennykh nauk Geologiia razvedka i razrabotka mestorozhdenii poleznykh iskopaemykh

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12 weeks