Landau-Zener problem in a three-level neutrino system with non-linear time dependence

Details Landau-Zener problem in a three-level neutrino system with non-linear time dependence Landau-Zener problem in a three-level neutrino system with non-linear time dependence

2006-11-03

arxiv.org/abs/hep-ph/0611037v2

Phys.Rev.D75:033006,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, 3 figures. To be published in Physical Review D

Scientific paper

10.1103/PhysRevD.75.033006

We consider the level-crossing problem in a three-level system with non-linearly time-varying Hamiltonian (time-dependence $t^{-3}$). We study the validity of the so-called independent crossing approximation in the Landau-Zener model by making comparison with results obtained numerically in density matrix approach. We also demonstrate the failure of the so-called "nearest zero" approximation of the Landau-Zener level-crossing probability integral.

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