)5(
) ,(
1
)' ,( ) ,(
1
)( ,
)4(
4
'
)ˆ(
)ˆ, ,(
1
1
) ,(
,
)(
, ,
)3(
) ,(
1
'
)' ,( )
,(,
1 1'
'
)(
' ,,
)2(
0
) ,(
1'
)(
' , ,
)(
' ,,
)ˆ,( ,
)1(
)
(
1 4
,
,
)ˆ,(
,
)ˆ,(
ˆ
dE
Er
gE
gE
dE Er Ert
gE
gE
rgt
dE d m
l
Y Er
gE
g
E
gE
gE
dEEr
ml
r
gml
dEEr
gE
gE
dE dE Er E Erls
gE
gE
gE
gE
rg gls
l
l
l m
m
l
Y
G
g
r
gml
rg gls
rg scat
q
pr r
P
p
gpq
g scat q
rg gt
rg
−
−
=
−
−
=
=
−
→
−
−
= −
=
−=
=
−
=
−
=
+
= +
The method
➢
Energy is divided in g=1,..,
G groups
of width ΔE
g
so that energy decreases as group
order decreases
Our equations
become: