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The problem of neutrino spin rotation in dense matter and in strong electromagnetic fields is solved in accordance with the basic principles of quantum mechanics. We obtain a complete system of wave functions for a massive Dirac neutrino…

High Energy Physics - Phenomenology · Physics 2010-04-06 E. V. Arbuzova , A. E. Lobanov , E. M. Murchikova

We present a powerful method for exploring various processes in the presence of strong external fields and matter. The method implies utilization of the exact solutions of the modified Dirac equations which contain the effective potentials…

High Energy Physics - Phenomenology · Physics 2008-08-25 Konstantin A. Kouzakov , Alexander I. Studenikin

We study the dynamics of classical and quantum particles with spin and dipole moments in external fields within the framework of the general approach by making use of the projection technique. Applications include the neutrino physics in…

General Relativity and Quantum Cosmology · Physics 2020-01-29 Yuri N. Obukhov

We further generalize the powerful method, which we have recently developed for description of the background matter influence on neutrinos, for the case of an electron moving in matter. On the basis of the modified Dirac equation for the…

High Energy Physics - Phenomenology · Physics 2016-12-07 Alexander Grigoriev , Sergey Shinkevich , Alexander Studenikin , Alexei Ternov , Ilya Trofimov

The Dirac equation, in the field of a traveling circularly polarized electromagnetic wave and a constant magnetic field, has singular solutions, corresponding the expansion of energy in vicinity of some singular point. These solutions…

Quantum Physics · Physics 2014-05-15 Boris V. Gisin

After a brief history of two known types of neutrino mixing and oscillations, including neutrino spin and spin-flavour oscillations in the transversal magnetic field, we perform systematic study of a new phenomenon of neutrino spin and…

High Energy Physics - Phenomenology · Physics 2019-01-16 Pavel Pustoshny , Alexander Studenikin

Within the recently proposed \cite{ELSt99, ELStpl00, ELSt00} Lorentz invariant formalism for description of neutrino spin evolution in presence of an arbitrary electromagnetic fields matter motion and polarization effects are considered. It…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. Lobanov , A. Studenikin

We study the quantum mechanical phases associated with the propagation of neutrinos in gravitational fields under the WKB approximation for Dirac equation. Applying the result, the investigations are made for gravitational effects on the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hisae Maiwa , Shigefumi Naka

A theoretical analysis of possible influence of neutrino magnetic moments on the propagation of ultrahigh-energy cosmic neutrinos in the interstellar space is carried out under the assumption of two-neutrino mixing. The exact solution of…

High Energy Physics - Phenomenology · Physics 2017-11-23 Podist Kurashvili , Konstantin A. Kouzakov , Levan Chotorlishvili , Alexander I. Studenikin

We derive the modified Dirac equation for an electron undergos an influence of the standard model interaction with the nuclear matter. The exact solutions for this equation and the electron energy spectrum in matter are obtained. This…

High Energy Physics - Phenomenology · Physics 2009-11-11 Alexander Grigoriev , Sergey Shinkevich , Alexander Studenikin , Alexei Ternov , Ilya Trofimov

The relativistic semiclassical evolution of the position of an electron in the presence of an external electromagnetic field is studied in terms of a Newton equation that incorporates spin effects directly. This equation emerges from the…

Quantum Physics · Physics 2017-11-13 R. Gutierrez-Jauregui , R. Perez-Pascual , R. Jauregui

(Talk presented at the 7th Marcel Grossmann Meeting on General Relativity, Stanford, CA, July 24-30, 1994) We study the semi-classical limit of the solution of the Dirac equation in a background electromagnetic/gravitational plane wave. We…

High Energy Physics - Theory · Physics 2007-05-23 Stamatis Vokos

The Dirac equation is invariant under rotations with a constant frequency and invariable cylindrical radius. 3D transformation for rotating frames is found with help of this invariance. Exact localized solutions of the Dirac equation in the…

Quantum Physics · Physics 2015-06-16 Boris V. Gisin

We consider neutrino evolution master equations in dense moving and polarized matter consisted of electrons, neutrons, protons and neutrinos. We also take into account the neutrino magnetic moment interaction with a magnetic field. We point…

High Energy Physics - Phenomenology · Physics 2022-03-02 Zekun Chen , Konstantin Kouzakov , Yu-Feng Li , Vadim Shakhov , Konstantin Stankevich , Alexander Studenikin

We study spin oscillations of neutrinos gravitationally scattered off a nonrotating black hole (BH). We derive the transition and survival probabilities of spin oscillations in quadratures when neutrinos interacts with BH only. The…

High Energy Physics - Phenomenology · Physics 2020-03-30 Maxim Dvornikov

We consider random primordial magnetic fields and discuss their dissipation, coherence length $L_0$, scaling behaviour and constraints implied by the primoridal nucleosynthesis. Such magnetic fields could excite the right-helicity states of…

High Energy Physics - Phenomenology · Physics 2011-07-19 Kari Enqvist , A. I. Rez , V. V. Semikoz

We consider neutrino oscillations as non stationary phenomenon based on Schrodinger evolution equation and mixed neutrino states with definite flavor. We demonstrate that for such states invariance under translations in time does not take…

High Energy Physics - Phenomenology · Physics 2016-09-06 S. M. Bilenky , M. D. Mateev

The dynamics of fermions on curved spacetime requires a spin connection, which contains a part called contorsion, an auxiliary field without dynamics but fully expressible in terms of the axial current density of fermions. Its effect is the…

High Energy Physics - Phenomenology · Physics 2019-08-23 Subhasish Chakrabarty , Amitabha Lahiri

Studies of an interesting effect of neutrino spin and spin-flavour oscillations engenders by neutrino weak interactions with the transversally moving or polarized matter are reviewed.

High Energy Physics - Phenomenology · Physics 2017-10-11 Alexander Studenikin

We present a rather powerful method in investigations of different phenomena that can appear when neutrinos and electrons propagate in background matter. This method is based on the use of the modified Dirac equations for particles wave…

High Energy Physics - Phenomenology · Physics 2015-06-25 Alexander Studenikin