2012/02/29 by James P. Kneller, J P Kneller, Gail C. McLaughlin +3 · 1 citation
Physics and Astronomy · #Amplitude #Energy (signal processing) #Fraction (chemistry) #Neutrino #Neutrino Physics Research #Neutrino oscillation #Noncommutative and Quantum Gravity Theories #Parametric statistics #Quantum Mechanics and Non-Hermitian Physics #Supernova #astro-ph.SR #hep-ph #nucl-th
paper · pdf · doi:10.1088/0954-3899/40/5/055002
published as J. Phys. G: Nucl. Part. Phys. 40 (2013) 055002 · 14 pages, 6 figures
openalex publication_date 2013/03/28 · arxiv created 2013/03/29 · arxiv updated 2015/06/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Large amplitude oscillations between the states of a quantum system can be stimulated by sinusoidal external potentials with frequencies that are similar to the energy level splitting of the states or a fraction thereof. Situations where the applied frequency is equal to an integer fraction of the energy level splittings are known as parametric resonances. We investigate this effect for neutrinos both analytically and numerically for the case of arbitrary numbers of neutrino flavors. We look for environments where the effect may be observed and find that supernovae are the one realistic possibility due to the necessity of both large densities and large amplitude fluctuations. The comparison of numerical and analytical results of neutrino propagation through a model supernova reveals that it is possible to predict the locations and strengths of the stimulated transitions that occur.