Etudes des proprietes des neutrinos dans les contextes ...
Etudes des proprietes des neutrinos dans les contextes ...
Etudes des proprietes des neutrinos dans les contextes ...
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tel-00450051, version 1 - 25 Jan 2010<br />
The initial conditions yield:<br />
By using its asymptotic value<br />
lim<br />
R→∞ D−n−1(i R e −i3π<br />
4 ) = e i3π<br />
4 (n+1) e iR2 /4 −n−1<br />
R +<br />
we obtain 4<br />
|A±| 2 = γ e −πγ<br />
2 (B.33)<br />
√<br />
2π<br />
Γ(n + 1) e14<br />
πni e iR2 /4 n<br />
R<br />
(B.34)<br />
|Ce(∞)| 2 = Ce(∞)C ∗ e (∞)<br />
= U1(∞)U<br />
(B.35)<br />
∗ 1(∞) = |A±| 2 |D−n−1(i R e i3π<br />
4 )| 2<br />
=<br />
2πe −πγ<br />
2 |A±| 2<br />
Γ(iγ + 1)Γ(−iγ + 1) =<br />
2πγe −πγ<br />
Γ(iγ + 1)Γ(−iγ + 1)<br />
= 2e −πγ sinh(πγ) = 1 − e −2πγ = 1 − |Cµ(∞)| 2<br />
Therefore, the hopping probability is P = e −2πγ with<br />
H<br />
γ =<br />
2 12<br />
| d<br />
dt (H1 − H2)| = sin2 2θ0 ∆m<br />
cos 2θ0<br />
2<br />
<br />
<br />
<br />
d lnNe(t) <br />
<br />
4E dt <br />
4 Using the relation Γ(iγ + 1) = iγ Γ(iγ) = (iγ)! and |(iγ)!| −2 = sinh(πγ)/(πγ).<br />
165<br />
−1<br />
t=tr<br />
(B.36)
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