### Speaker

### Description

We consider neutrino spin oscillations in arbitrary moving matter accounting for the longitudinal $\bf{j}_{\parallel}$ and transversal $\bf{j}_{\perp}$ matter currents in respect to the direction of the neutrino propagation. From the quasiclassical treatment to the problem, based on the generalized Bargmann-Michel-Telegdi equation that describes the evolution of the three-dimensional neutrino spin vector $\bf S $ developed earlier [1], it is known that the neutrino spin precession and the corresponding oscillations $\nu_{e}^{L}\Leftrightarrow\nu_{e}^{R}$ can be engendered by the neutrino weak interaction with the transversal matter current $\bf{j}_{\perp}$. We have developed [2] the consistent quantum treatment of this effect based on the direct calculations of the effective Hamiltonian of the neutrino evolution in the presence of the longitudinal $\bf{j}_{\parallel}$ and transversal $\bf{j}_{\perp}$ matter currents. In addition, we now also account for the neutrino magnetic moment interaction with a constant magnetic field $\bf{B}= \bf{B}_{\perp} + \bf{B}_{\parallel}$. The developed quantum treatment to the neutrino spin oscillations due to weak interaction with the transversal matter current $\bf{j}_{\perp}$ has provided proper account for the neutrino mixing effects. The obtained closed expressions for the neutrino spin oscillation probabilities are of interest for the astrophysical applications.