Quantum Mechanical Model
Consider a state . Its time evolution is governed by the Hamiltonian, H, through the action of the evolution operator on . The 2×2 matrix Hamiltonian can be written as
where the Hamiltonian can be decomposed into a mass matrix M and a decay width matrix Γ, both of which are 2×2 Hermitian matrices. We introduce the notation MAB = |MAB| eiα and ΓAB = |ΓAB| ei(α+β).
A and B are both flavour eigenstates. Oscillations mix these states, and the mass eigenstates are the states which propagate without mixing, i.e., the eigenvectors of H.
Read more about this topic: Neutral Particle Oscillation
Famous quotes containing the words quantum, mechanical and/or model:
“A personality is an indefinite quantum of traits which is subject to constant flux, change, and growth from the birth of the individual in the world to his death. A character, on the other hand, is a fixed and definite quantum of traits which, though it may be interpreted with slight differences from age to age and actor to actor, is nevertheless in its essentials forever fixed.”
—Hubert C. Heffner (1901–1985)
“We are caught up Mr. Perry on a great wave whether we will or no, a great wave of expansion and progress. All these mechanical inventions—telephones, electricity, steel bridges, horseless vehicles—they are all leading somewhere. It’s up to us to be on the inside in the forefront of progress.”
—John Dos Passos (1896–1970)
“The playing adult steps sideward into another reality; the playing child advances forward to new stages of mastery....Child’s play is the infantile form of the human ability to deal with experience by creating model situations and to master reality by experiment and planning.”
—Erik H. Erikson (20th century)