Accounting for the Heisenberg and Pauli principles in the kinetic approach to neutrino oscillations

摘要: While oscillations of solar neutrinos are usually studied using the single-particle quantum-mechanical approach, flavor conversions supernovae typically analyzed kinetic equation for matrix densities due to necessity including also scattering processes. Using Wigner formulation quantum mechanics we show equivalence and approaches in limit collisionless neutrino propagation (in a background medium). Based on this observation argue that solutions account Heisenberg uncertainty principle related effect wave packet separation (for single neutrinos), as well Pauli exclusion principle, if initial conditions consistent with these fundamental principles. Such can be constructed e.g. by identifying (reduced) function computed function. Hence momentum is an integral part densities, may have impact phenomenology via separation.