Magnus approximation for nonadiabatic transitions and neutrino oscillations in matter

Journal Article · Sat Feb 01 04:00:00 EST 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.45.924· OSTI ID:7234988

D'Olivo, J C ^[1]

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1. Instituto de Ciencias Nucleares, Universidad Nacional Autonoma de Mexico, Apartado Postal 70-543, 04510 Mexico, Distrito Federal (Mexico)

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{times}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.

• OSTI ID: 7234988
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 45:3; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

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662430* -- Properties of Leptons-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CALCULATION METHODS
COMPOSITE MODELS
COSMOLOGY
EIGENSTATES
ELECTRON NEUTRINOS
ELEMENTARY PARTICLES
FERMIONS
FLAVOR MODEL
HAMILTONIANS
LEPTONS
MASSLESS PARTICLES
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATTER
MECHANICS
NEUTRINO OSCILLATION
NEUTRINOS
PARTICLE MODELS
PROBABILITY
QUANTUM MECHANICS
QUANTUM OPERATORS
QUARK MODEL
RADIATIONS
SOLAR NEUTRINOS
SOLAR PARTICLES
SOLAR RADIATION
STELLAR RADIATION
TIME DEPENDENCE
VACUUM STATES