Fermion with three mass parameters in the uniform magnetic field
Автор: Ovsiyuk E., Safronov A., Koralkov A., Voynova Ya.
Журнал: Известия Коми научного центра УрО РАН @izvestia-komisc
Рубрика: Научные статьи
Статья в выпуске: 4 (62), 2023 года.
Бесплатный доступ
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
Fermion with three mass parameters, magnetic field, anomalous magnetic moment, exact solutions, energy spectrum
Короткий адрес: https://sciup.org/149143597
IDR: 149143597 | DOI: 10.19110/1994-5655-2023-4-77-87
Список литературы Fermion with three mass parameters in the uniform magnetic field
- Gelfand, I.M. Obshchiye relyativistski invariantnyye uravneniya i beskonechnomernyye predstavleniya gruppy Lorentsa [General relativistically invariant equations and infinite-dimensional representations of the Lorentz group] / I.M. Gelfand, A.M. Yaglom // Zhurnal Eksperimentalnoy i Teoreticheskoy Fiziki [Journal of Experimental and Theoretical Physics]. – 1948. – Vol. 18. № 8. P. 703–733.
- Gelfand, I.M. Representations of the rotation and Lorentz groups and their applications / I.M. Gelfand, R.A. Minlos, Z.Ya. Shapiro. – New York: Pergamon Press, 1963. – 366 p.
- Red’kov, V.M. Polya chastic v rimanovom prostranstve i gruppa Lorenca [Fields in Riemannian space and the Lorentz group] / V.M. Red’kov. – Minsk: Belorusskaya nauka, 2009. – 486 p.
- Pletyukhov, V.A. Relyativistskie volnovye uravneniya i vnutrennie stepeni svobody [Relativistic wave equations and intrinsic degrees of freedom] / V.A. Pletyukhov, V.M. Red’kov, V.I. Strazhev. – Minsk: Belorusskaya nauka, 2015. – 327 p.
- Kisel, V.V. Elementary particles with internal structure in external fields. Vol. I, II / V.V Kisel, E.M. Ovsiyuk, V. Balan, O.V. Veko, V.M. Red’kov. – New York: Nova Science Publishers Inc., 2018. – 418, 414 pp.
- Ovsiyuk, E.M. Kvantovaya mekhanika chastic so spinom v magnitnom pole [Quantum mechanics of the particles with spin in magnetic field] / E.M Ovsiyuk, O.V. Veko, Ya.A. Voynova, V.V. Kisel, V.M. Red’kov. – Minsk: Belorusskaya nauka, 2017. – 517 p.
- Ovsiyuk, E.M. Spin 1/2 particle with anomalous magnetic moment in a uniform magnetic field, exact solutions / E.M. Ovsiyuk, V.V. Kisel, Y.A. Voynova, O.V. Veko, V.M. Red’kov // Nonlinear Phenomena in Complex Systems. – 2016. – Vol. 19, № 2. – P. 153–165.
- Ovsiyuk, E.M. Kvantovaya mekhanika elektrona v magnitnom pole, uchet anomal’nogo magnitnogo momenta [Quantum mechanics of the electron in the magnetic field, taking into account of the anomalous magnetic moment] / E.M. Ovsiyuk, O.V. Veko, Ya.A. Voynova, V.V. Kisel, V.M. Red’kov // Doklady NAN Belarusi, 2016. – Vol. 60, № 4. – P. 67–73.
- Kisel, V.V. Spin 1/2 particle with two mass states, interaction with external fields / V.V. Kisel, V.A. Pletyukhov, V.V. Gilewsky, E.M. Ovsiyuk, O.V. Veko, V.M. Red’kov // Nonlinear Phenomena in Complex Systems. – 2017. – Vol. 20. – P. 404–423.
- Kisel, V.V. Fermion s vnutrennim spektrom mass vo vneshnih polyah [Fermion with internal mass spectrum in external fields] / V.V. Kisel, E.M. Ovsiyuk, O.V. Veko, V.M. Red’kov // Bulletin of the Komi Science Centre of the Ural Branch of the Russian Academy of Sciences. – 2018. – № 33. – P. 81–88. (Proceedings of the Int. Sem. “Group Theoretical Methods for the Study of Physical Systems”, 2017, September 21-23, Syktyvkar).
- Kisel, V.V. Fermion s tremya massovymi parametrami: vzaimodejstvie s vneshnimi polyami [Fermion with three mass parameters: interaction with external fields] / V.V. Kisel, V.A. Pletjukhov, E.M. Ovsiyuk, Y.A. Voynova, O.V. Veko [et al.] // Doklady NAN Belarusi. – 2018. – Vol. 62, № 6. – P. 661–667.
- Pletjukhov, V.A. Fermion s tremya massovymi parametrami, obshchaya teoriya, vzaimodejstvie s vneshnimi polyami [Fermion with three mass parameters, general theory, interaction with external fields] / V.A. Pletjukhov, V.V. Kisel, E.M. Ovsiyuk, Ya.A. Voynova, O.V. Veko [et al.] // Uchenye zapiski Brestskogo gosudarstvennogo universiteta imeni A.S. Pushkina. Estestvennye nauki [Scientific notes of Brest State University named after A.S. Pushkin. Natural Sciences]. – 2018. – Vol. 14. – P. 16–50.
- Ovsiyuk, E.M. Spin 1/2 particle with two masses in external magnetic field / E.M. Ovsiyuk, O.V. Veko, Ya.A. Voynova, V.M. Red’kov, V.V. Kisel [et al.] // J. Mech. Cont. and Math. Sci. Special Issue. – 2019. – Vol. 1. – P. 651–660.
- Ovsiyuk, E.M. On modeling neutrinos oscillations by geometry methods in the frames of the theory for a fermion with three mass parameters / E.M. Ovsiyuk, Ya.A. Voynova, V.V. Kisel, V.A. Pletyukhov, V.V. Gilewsky [et al.] // J. Phys. Conf. Ser. – 2019. – Vol. 1416. – Paper 012040.
- Kisel, V.V. Fermion with three mass parameters / V.V. Kisel, V.A. Pletyukhov, E.M. Ovsiyuk, Ya.A. Voynova, V.M. Red’kov // Chapter in: Future of Relativity, Gravitation, Cosmology. – New York: Nova Science Publishers Inc., 2023. – P. 262–289.
