Enoncé

◦10
v x
~
B0z|+z>
,|−z>ˆ Szz
~
M=γ~ S
γ=g e
2Me= 1,6 10−19Coulomb
M= 1,6 10−27kg g
|−zi
~
B1
~
B1=
B1x=B1e−|x|/a cos (ωt)
B1y=B1e−|x|/a sin (ωt)
B1z= 0
v
|−z>
x
y
z
~
B1(t)
a
~
B0
−a
B1B1B0B1
div ~ B= 0
(x=vt, y = 0, z = 0)
ˆ
Hspin (t) = −~ M.~ B(t)
~
B=~ B0+~ B1
ω0=−γB0ω1=−γB1
g
q~ LMclass. =q
2m~
L

2×2ˆ Hspin (t){|+zi,|−zi} ω, ω0, ω1,~, v, t, a
c−+|+zi
t= +∞t=−∞
|−zi~ B1
c−+'−i
~Z+∞
−∞
eiω0th+z|ˆ Hspin (t)|−zidt
c−+R+∞
−∞ eiΩte−α|t|dt =2α
α2+Ω2
|+i
P−+
ω P−+
P−+(ω0−ω)
∆ω0
v a
~
B0(t)
b b a x
~
B0=
B0
x=B1e−|x−b|/a cos (ωt)
B0
y=B1e−|x−b|/a sin (ωt)
B0
z= 0
h+z|ˆ Hspin (t)|−zi
c−+
c−+1 + ei(ω0−ω)b/vP−+
b
ω0
∆ω0
∆g
v= 100m/s
g=−3,8240836 ±1,76.10−6
B0= 1 b
ˆ
Sx≡(|±z>)~
20 1
1 0 ˆ
Sy≡(|±z>)~
20−i
i0ˆ
Sz≡(|±z>)
~
21 0
0−1