2004/10/31 by Maxim Dvornikov, M. S. Dvornikov
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Hamiltonian (control theory) #Magnetic field #Measurements of neutrino speed #Neutrino #Neutrino Physics Research #Neutrino oscillation #Quantum Mechanics and Non-Hermitian Physics #Superposition principle #hep-ph
paper · pdf · doi:10.1134/s1063778807020159
published as Phys.Atom.Nucl.70:342-348,2007; Yad.Fiz.70:369-376,2007 · RevTeX4, 7 pages, 4 eps figures; one section devoted to numerical simulations is included, 2 references added; final variant to be published in Phys.Atom.Nucl
arxiv created 2006/02/20 · openalex publication_date 2007/02/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Spin-flavor oscillations of neutrinos in rapidly varying external fields are studied. A method for describing neutrino oscillations in arbitrary rapidly varying external fields is developed. An effective Hamiltonian that describes the evolution of the averaged neutrino wave function is obtained. Neutrino oscillations in rapidly varying magnetic fields are considered on the basis of the general formalism developed in this study. Neutrino transitions in a superposition of a constant and a rotating (in space) magnetic field that are transverse with respect to the neutrino velocity are studied. The probabilities of transitions in spin-flavor oscillations of neutrinos in the magnetic fields of the Sun are estimated. Numerical solutions to the Schrödinger equation for the Hamiltonian that describes neutrino interaction with a constant and a rotating (in space) magnetic field are given. It is shown that the approximate analytic formula obtained in the present study for the probability of neutrino transitions is consistent with the respective numerical solution to the evolution equation at high frequencies of the rotating magnetic fields.