Mécanique Quantique II TD 2

r−2
`
n
`
V(r) = 1
2mω2r2
φ(r) = r`exp −mω
2~r2f(r)Ym
l(θ, φ)
f(r)
exp(−βr/a)β
V(r) = −V0exp(−r/a)/(r/a)V0a β 2mV0a2/~2
2mV0a2/~2= 2.7β
V0→0a→ ∞, aV0

m1m2
V
ψ(r1,r2)R3×R3
rG=1
M(m1r1+m2r2),r=r1−r2
pG=p1+p2,p=1
M(m2p1−m1p2) = µp1 m1
−p2
m2
G
M=m1+m2,1
µ=1 m1
+1
m2
=m1+m2
m1m2
.
M µ
J=L1+L2J=LG+L
LGL