PHQ502 Physique Quantique

T= cte
u(ν, T ) = dU
dνU(T)
ν
T= cte
u(ν, T ) = ν3 8πh
c3×1
e
hν
kBT−1!
E=hν
hν < W0
hνs=W0
νs=W0
h
hν > W0
1
2mv2=hν −W0

λ
d θ
2dsin(θ) = nλ
λ−λ0=αsin θ
22
p=hν
c=h λ
λ−λ0=h
mc 2 sin θ 22
λc=h
mc = 0.024
e0=e2
4πε0
rn=n2~2
me02
r1=a0=~2
me02
m= 0 m6= 0
E=hν =hc
λ=pc Ec=p2 2mE=Ec+mc2=pm2c4+p2c2
p=h
λ=hν cp=√2mEc
λ=hc
Eλ=h p
−~2
2m
∂2ψ(x,t)
∂x2=i~∂ ψ(x,t) ∂t

−~2
2m∆ + v(−→
r)ψ(−→ r , t) = i~∂ ψ(−→
r ,t)
∂t
H=−~2
2m
∂2
∂x2+V(x)
H=−~2
2m∆ + V(−→
r)
HΨ = i~∂Ψ
∂t
∆x∆px&~
Ψ(x, t) = Ae i
~(px−Et)
|Ψ(x, t)|2=ρ(x, t)
ρ
1
ˆ+∞
−∞ |Ψ(x, t)|2dx= 1
ˆ+∞
0|φ(r)|24πr2dr= 1
Hφ =Eφ
ψ(x, t) = φ(x)e−iE
~t