Fig. 9-1, p.296
Orbital Magnetism
Orbital Magnetism
Torque Torque
d dt
d dt
= ×
=
= × = L r p F p
τ r F L
U
= ×
= − ⋅ τ μ B
μ B
2 q
= m
μ L
Fig. 9-2, p.298
2
2
Bohr magneton 2
z z
e
l B l
e
B
e
e L m
e m m
m e
m μ
μ μ
= −
= − = −
=
=
=
Fig. 9-3, p.298
Larmor Precession Larmor Precession
L
sin
sin sin
2 Larmor frequency
1
sin 2
2 2
e
z L l
e e
d L d
d dt B dt q LB dt
m
d d e
dt L dt m B
e eB
U L m
m m
θ φ
μ θ θ
ω φ
θ
ω
=
= = =
= = =
= − ⋅ = ⋅ = =
L L τ
L
μ B L B =
Fig. 9-4, p.300
Normal Zeeman Effect Normal Zeeman Effect
0 L l
E = E + = ω m
Fig. 9-5, p.301
Normal Zeeman Effect
Normal Zeeman Effect
Normal and Anomalous Zeeman Effect
Normal and Anomalous Zeeman Effect
Fig. 9-6, p.302
Spin – Classical Analogy Spin – Classical Analogy
2 2
2 2
s i
e e
s
e
q q
m m
e g m g
= =
= −
=
∑
μ L S
μ S
Fig. 9-7c, p.305
Stern-Gerlach Experiment
Stern-Gerlach Experiment
Fig. 9-8, p.306
1 2
1 1 2 , 2
( 1) 3
2 2 , 2
s
z s
s m
S s s S m
=
= −
= + =
= = −
= =
= = =
Spin Spin
Fig. 9-9, p.308
( )
o s 2
e
e g U
m
= + = − + = − ⋅
μ μ μ L S μ B
Fig. 9-10, p.310
Spin-Orbit Interaction
Spin-Orbit Interaction
Fig. 9-11, p.310
Fig. 9-12, p.310
( 1)
with , 1, ,
, 1, ,
z j j
J j j
J m m j j j
j l s l s l s
= +
= +
= = − ⋅⋅⋅ −
= + + − ⋅⋅⋅ − J L S
=
=
