Magnus approximation for nonadiabatic transitions and neutrino oscillations in matter

Details Magnus approximation for nonadiabatic transitions and neutrino oscillations in matter Magnus approximation for nonadiabatic transitions and neutrino oscillations in matter

Feb 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phrvd..45..924d&link_type=abstract

Physical Review D (Particles and Fields), Volume 45, Issue 3, 1 February 1992, pp.924-929

Mathematics

Probability

13

Quark And Lepton Masses And Mixing

Scientific paper

The Magnus expansion of the time-displacement operator is used to calculate nonadiabatic level crossing induced by a time-dependent Hamiltonian. We consider Hamiltonians that can be represented as a Hermitian 2×2 matrix. As an interesting nontrivial application an analytic expression for the flavor survival probability is derived for neutrinos which propagate through a matter-enhanced oscillation region.

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