Quelques Révisions....(pour enfin comprendre la méca

Quelques Révisions....(pour enfin comprendre la méca

! ""#
#
"
$ %
&
", )(,( . /
'
3
'0
'
"'
%'
.!
'0
'
())*&())+
1
2
•
"( ,),( ."'
'
4 .
'
'
•
"5 ,6,( .$
.
5!
(!
! "#
•
"* )6), .
•
)
7
'.
* *
"+ ,5), .8 7 '
•
.
/!+
'
,
+
$
"
'
.
*"#
*"#
$
"
%
"
,
#
'
",
!&
'
"
''
- *"
'
'
+
,0
$
' ("
' 9
! ""#
•
•
•
•
•
#
". $/
", )5-,) ./
'0
'0
1
2
'
,
'
0:
' '
( #0 ; -$
'
'
5
%
'
9
* #0 ;
%'
+! 4 4
'%
! / "
%'
.
'
'
.
'
'%
'
3
$< #
"
:
#
1
+' ( = 2
+ =
(
(
1
−' ( =
(
4
$< #
4 5
".
"', "6*
7"*" ,
: ';
'
#=<! "
> #
"
!
*! =?$
'
!#
"# #
'0
"
"''!
"
"
1
=
,
3
%'
$< # ".
#=<! "
#=<! " /
$<
8, $ '
=:
' '
8( #0 ; $
'
'
85
%
'
8* #0 ;
'%
8+ 4
'%
'
> #
". ! "
/ " $$ "
/# $/ "
'
$< #
". "?"#
8)
'9
:
8,
"=?$
"# #
"
5
.8)@
(
'
9
8)A8,A B)
(A8
A
(B)
)
,
,
0:
3
)@8,
7 .
' '
8,
'
'
'
'
,
B)
$< #
". "?"#
8)
"=?$
8,
'9
<
9
"# #
4
1 =
1
' −,
=
=
,
3
3
' −,
=
3
)
'#
=:
' '
= '
:
)
+
%
+%
−,
"
'
8,
−, +%
'
−,
+%
−,
−,
+ ,+
)B
- ) B B)
B&
5*C@7B **C@8,B&5 C
$< #
"."?"#
'
'
"=?$
'0
"# #
;
8)
"
'
'9
8,
:
B
8)
:
8)
'9
A
:
8,
A
$< # ".
#=<! "
#=<! " /
$<
> #
". ! "
/ " $$ "
/# $/ "
8, $ '
=:
' '
8( #0 ;
'
8
'
'
8$
'
' '
8#
'
8$
'
' 4'
8$
'
' 4'
8
'
'0 ;
8
'
4
'
85
%
'
8* #0 ;
'%
8+ 4
'%
'
'
'
'
D
'
&
'
$< #
$< #
".#= <
# <"=
$
-'0
! "$ ""
"8
E<
F/ G < $/
;
#
// "
'
.
' '
Ω
σ;
",,
&"
'' , " ! "
:'
ε;
%< Ω
,
,
, 11: H<&2 <
2
% = ∂Ω
2
2∀
> >
",,
",,
&"
&"
,'
,
& *"# ,
,'
,
, ' "# ,
$< #
$< #
".#= <
# <"=
$
I>J4
! "$ ""
"8
E<
F/ G < $/
'
< ?"25< 2 @"5
'
A"5
σ =− (
<
B ,
=ω" ∧G⊥
ε
<σ
ε = −(
ω
2
,
ω
2
,
=σ
#
// "
'
ε
σ = µ − ω+
ε =
,
&
− ω+
,
$< #
$< #
".#= <
# <"=
$
! "$ ""
"8
E<
F/ G < $/
'
− δC
"
=
'
I >J
&
ω ω
,2 & 2 ω = 3
+µ
, ,
$
// "
. 4
ε
+
σ
5!
ε
Ω
− δ C " (& ) =
−
(σ
=
Ω
'
#
'
,2 &2 ω
−ω+
,
,
&
−ω+
,
'
'
)
&
$< #
$< #
".#= <
# <"=
! "$ ""
"8
E<
F/ G < $/
$
'
−
ω ω
,2 &2 ω = 3
+µ
, ,
: *+
−
,
",
#
'
*+
*
−ω+
,
'
&
−ω+
,
1< 3 ω ,2 <µ
ω
+
,2 &2 ω = 1
,
// "
ω=
&
−ω+
,
,
$< #
$< #
$
".#= <
# <"=
! "$ ""
"8
E<
F/ G < $/
'
−
'
ω
+
,2 &2 ω = 1
,
D *
I>J4
+
,+
< ?"25< 2 @"5
#
// "
'
&
−ω+
,
,
A"5
$< #
$< #
".#= <
# <"=
'
$
σ;
Ω
! "$ ""
"8
E<
F/ G < $/
#0
ε;
%< Ω
;
2
$
% = ∂Ω
#
// "
'
2
2∀
.
> >
&"
F
'
ω
+
1
,
=
'
4
&
−ω+
,
' & + *ω , , + / &
'
0
,
+1 ω
+ /E&
+ 1Eω
.
$< #
$< #
'
".#= <
# <"=
'
$
ω
+
1
,
=
! "$ ""
"8
E<
F/ G < $/
$
&
−ω+
,
,
+
+
&
+ ' =
" ,
,
// "
5
,
' & + *ω , , + / &
" !
%2
'
#
+1 ω
+ /E&
+ 1Eω
+ *"6 ! "
F*"( F
'
9
7 .
1
,
+
+ * =
$< #
$< #
".#= <
"
'
4
! "$ ""
F/ G < $/
'
D
#
// "
&
.
ω=
−
"8
µ
,
ω ω
+µ
,2 &2 ω = 3
, ,
'
.
; 0
−
&
−ω+
,
,2 &2 ω = 3
&
−ω+
,
&
,
,
$< # ".
#=<! "
#=<! " /
$<
8, $ '
=:
' '
8( #0 ;
85
%
'
8#
'
8
'
8* #0 ;
'%
8+ 4
'%
'
> #
". ! "
/ " $$ "
/# $/ "
'
'
'
'
$< #
/K
".
>
'
K
/ "#
%
. $< #
'
τ=
τ =
τ =
.
&
,
3
G !*
'" ",
1
3
1
/ 1
&
,
,
$< # ".
#=<! "
#=<! " /
$<
8, $ '
=:
' '
8( #0 ;
85
%
'
8* #0 ;
'%
8+ 4
'%
'
> #
". ! "
/ " $$ "
/# $/ "
'
'
'
$< #
". #= <
#= <
"!
"
> #
"
"# >/
L
'
#= <
'
"
#0
#0
<
'
> #
;
;
"
=
,.
=
(.
"
∂
∂
∂
∂
*+ !*
"
$< #
". #= <
'
4
"
'0(
"# >/
F,
:
/ '0
"
< D
H=
;
(
∂H
=
=
∂
3
.
'
&
1 ,
,2
H=
3
&
1 , =
−, 2
,. $ '
8)
> #
M
'
% '
'
−,
3
,
−,
,=
3
$< #
". #= <
'
8)
'0
: 3
F
"
;
> #
(
"# >/
4'
'
&
1 , =
1 , =%
∂
∂H
=
=
∂%
∂%
3
1
3
−,
, =
−,
< .$ '
1 ,
,2
H=
3
8,
:
"
−, +%
− , 2 ," , >
1 ∂1
,
3 ∂%
, +
− , 2 ," , <
%
.
'
7
%
−,
,
=
2 $ I %
$< #
". #= <
'
"
'0
F
!
N
9:
O
; 0.
= "*
→
'
;
> #
(
"
"# >/
<.
F
'
⊕
PF @
'
)
'
∂
∂
+ >>>
$< #
"&
8 " < "- $$ <F< ! ""
'0
#"
% %
'
'
'
0 %
4'
9
'
/
7
$< #
"&
8 " < "- $$ <F< ! ""
'0
'
'
'
% %
' '
#"
(
'
0:
' '
=B /&
0
57
=
0:
' '
'
@ #@
'
'
'
'
'
. @ #@
0 %
'
8
'
.
0 %
0:
' '
'
'
0:
' '
.
'
'
'
0:
' '
'
'
4
=
$< #
"&
8 " < "- $$ <F< ! ""
'0
% %
'
'
'
'
'
; 0
'
@
'%
5
4
'
'
'
9 ' Q'
'
#"
$< #
#0
;
1
%
8
#0 ;
8
'%
".
#
-$
&
,
'
, = + '&+*
'
4
.
%'
, ' (
&
, ,+/ &
,
=
+
+1
&
,
+ /E&
!
µ
=
$
∂
∂
+ 1E
&
,
/
/ ! "#
#
((
'F
" < $/ G ".
7
'
'0
'
'
R
+(
( = # + # −#
$ ' K
(
( =# −
(
+#
(
(
7
.
(
= # J ( +# J ( 2 I J ( = − 2 J ( =
H,@ H(@F
9
'
7
4
'
(
/
((
#0
/ ! "#
#
'F
" < $/ G ".
7
;
σ,,
∀H
Ω
4
'
'0
'
'
R
'
ε,, H 8BF(H
'
'
'
' @ %
3 K
(
'H
AF,H
7
,
A
'.
4H 4
' 3 H, ' H(.
σ = ε (
7
#
ε J" [ε J ε J ]
#
7
( = " J" +
7
+J" (2 " = 2
/
/ ! "#
((
" < $/ G ".
'F
7
7
E.
'
% '
K
K=
#
7
7
ε J" [ε J ε J
K
'
ε
J" ε
#
'
]
#
#
F
R
( = " J" + +J" (2 " = 2
+
J5 (
'
'
7
#
=
'0
′
′
FK
4
'
/
/ ! "#
((
#
" < $/ G ".
'F
7
'
'
,. K K
:
=K
(. E
'
'
#
#
=
'
−
7
'0
−
% '
SB "/
'
R
@
'%
.
#
#
K
'
/
/ ! "#
((
#
" < $/ G ".
'F
=
=
'
.
7
−
−
'
'
'0
R
'
((
'F
4
K
7
'
'
'
.$ '
3
′=
′
′
=
7
−
F
7 −
,
'
.
=
7
+
ρ
R
7
!
(
−
7 ρ
(
=
( =
(=
/
ρ (
+
ρ
7
ρ
7
7−
(
+
(
/
/ ! "#
(5
'
#
" < $/ G ".
'
'0
4
'
&D
ω
ω
(
<
4
4
(
; 0
.
7
( = [J ( 2 J ( 2 J ( 2 J) ( ] # = [C ( ] #2 I # =
ω
ω
/
/ ! "#
(5
'
<
7
0
'
'
#
" < $/ G ".
'
'0
4
'
&D
)
'
.
3
J"
= 2 # #" = 2 # 5 = 2 5 ≠ "
)
(
J
J
J
J)
(
(
(
J = − ζ + ζ2
J = 7ζ ζ −
J = ζ − ζ2
J) = 7ζ ζ −
(
2
ζ=
"#
/
/ ! "#
(5
'
#
" < $/ G ".
'
#0
− 1 , J ′′ , , + / J
'0
'
4
;
&D
'
+ : J′
+/ J
+ : J′
.
+
7
+ , J , , = 2 ∀J
E A FA F9B)@ E BFAF9
7
E =
3
7
[C ′′
(
][C ′′
(
]
/
(
:
F=
/
:
7
F$ =
7
7
+( J ( (
+( J ( (
+( J ( (
+ ( J) ( (
(5
'
K= 3
7
K "5 = 3
'
4
&D
7
[C′ ( ][C′ ( ]
J ′"′ ( J ′5′ ( (
ω
↓
K = 3
=
=
3
7)
3
7
7
7
[J′′ ( ]
−
(
7
(
ω
↓
↓
7
(
(
)7
3
E=
7
, *
↓
−
7
− 7
7
− 7
)7
/
/ ! "#
'
% ' .": '0;
#
" < $/ G ".
( = [C ]# =
7
D
"
$ '
#
K=
5!
K=
4
[
L
J
5=
ε
J
ε
J
5
[ε
( #5 =
J ε
'
[
J
J
5
](
σ J " >ε J 5
%
K= 3
'0
7
[C ′′ ( ][C ′′ ( ]
]#
5
#
#
%
(
]
/
/ ! "#
#
(*
'
" < $/ G ".
'
;'
'0
'
7 % '
7
7 %
8( '
.
8$
%
0
;
'
7 %
8
'
'
'
;
'
% 7
% 7
'
3
/
/ ! "#
(*
#
" < $/ G ".
'
'
;'
'0
'
7 % '
7
/
−
G !*
/
/
H
7
=
−
−
G !*
7
=
−
−
/
7
−
/
/
/
/
−
−
/
=
+
/
+
+
ρ
ρ
)
ρ
7
)
7
)
7
/
/ ! "#
#
(*
'
" < $/ G ".
'
;'
'0
'
7 % '
7
:
7
7
)7
−
7
− 7
7
)
3
7
M7
, *
K
7
/
ω
−
− 7
7
7
ω
=
− 7
)7
:
/
:
/
ω
:
K
#= <
'
'
!
""
'
.
'
'
&
!/
.$/
< #
# "
'
7
.
5
(5
(
,5
((
(,
,(
,,
# >
'' .
#
,
" $ "" "
=
−
-
I (
"
#= <
'
'
!
""
'
.
'
'
&
!/
< #
.$/
" $ "" "
# "
'' .
# >
#
4
5
.
(
=
((
(,
,(
−
-
( I (
,,
,
'
,,
4
0
((
;
'@
''
,(
(,
'
'
'
''
'
'
"
#= <
'
'
!
""
'
.
'
'
&
!/
.$/
< #
" $ "" "
# "
# >
'' .
8 '
'
'.
Lα =
4
;
''
'
−
-
σα (
'
'
"
#= <
!
#0
δC" = −
'
""
&
!/
;
" $ "" "
'
{
'
.$/
+
' %
'
−
E + Lα
@ @ α
@E@7
' !
ω
,2 &2 ω = 1 +
,
:'
' ("
α
}
/ "
&
− ω+
,
#= <
!
""
&
!/
.$/
" $ "" "
.
<
'
8
'
7
8 B,(%
(
'
7
8T κB,(%
8
8
'
87B ΨA%
'
'
. < =( Κ
(!
A'%
T
&
(
=
&
(Ψ
.
7
.
−
-
I (
#
4
=
@
''
'
@
'T
(H
'
#
'
'
'%
Ψ
A
(
'
8 '
−
( I (
-
'
Lα =
−
-
'.
σα (
#= <
!
""
&
!/
.$/
" $ "" "
.
'
9
A
'
3
';
$
'
"& ,
++=ρ
"& ,
−
"&
⋅
=
=
A
'
'
[ ]=
−ν
ν
ν
−ν
[ ]2 [ ] =
⋅
+ * = 3Ψ
+ + = ρ,
=
2
N =
7
5
∧
⋅5
(
−ν
ν
)
[U ]
ν
−ν
"? #= "
'
5!
L
+ ' = ρ
(
!
4σ A Bρ
σ
σBλ#
B
/
(
+ '
1
(
+ /
#@
A(µ
"A"&
L=
1 = 3
= ρ
"&
++=ρ
"&
−
+
= 3Ψ
"&L ⋅ + + = ρ ,
=
=
=
BA& @
N =
[ ]=
(
(
⋅5
[ ]=
(
−ν
=
2
5
∧
⋅5
ν
−ν
[ ]2
ν
−ν
ν
)
[E ]
ν
−ν
5 F/
4
-
D
- 2+
$V)2
)
0 %
'
#
#=<! !K /
7
'
'
'
'
7
'
)
9
3
,
.
)
−
=
,
,
'
'
'
.
0O =
=
)
O
3 0 − 0O =
3
= ± "0 2 0 =
−
3
, 0, + E ," 0, + :, +
5 F/
D
5 , $< #
#
"
#=<! !K / .
$$ " " $/ "
9
=
,
=
1
= 2
+ =
,
=
= 2
, 0, + E ," 0, + :, +
=
=
1
= 2
E," 0 + : =
,
=
−E0 ," 0 =
," 0 = 2 0 = π2
−
"
=
3
π
2 = E ,"
π
,
5 F/
D
5 ( $< #
#
#=<! !K / .
"#
< "</
=
9
=
,
= 2
1
=
,
+
− 0
E0 + : =
, 0 − E0 ," 0 =
1
= 2 =−
+L =− 3
+
,
,
,
, 0 = 20 = (
−
"
=
−
−
)
=
π
,
: = 2E =
2
π
3
2 =
)
(
, 0, −
)
5 F/
D
#
#=<! !K /
5 5 $< #
D&
"#
.
9
)
$ '
)
7&
)
'
.
−
)
"
= 3
)π
2
5 F/
D
#
#=<! !K /
5 5 $< #
D&
"#
$ '
.
$ '
$ '
'
7&
−
"
& 7 .
−
"
'
−
"
.
=
.
3
π
2
π
= 3
2
)
= 3
)π
2
5 F/
5 ( $< #
=
π
7K
3
D
/ %
W
#
"#
#=<! !K / .
< "</ A '
'
' W
'
:
F/
$
'' '
D
#
$< #
"
'
7
'
'
''
P
5 F/
5 * $< #
D
"#
#
#=<! !K / .
R $$ ? . "?"#
=?$
9
,
1 =
−
,
0 =
=
, 0, + E ,"
+%
3
−,
%
=
3
−
3
0, −
%
"# #
−,
−,
5 F/
5 * $< #
D
"#
#
#=<! !K / .
R $$ ? . "?"#
=?$
"# #
9
=
, 0, + E ,"
0, −
%
−,
,
=
−
=
,
%
E0 +
=
%
−
=
, 0 + E ," 0 =
−
,"
0
+
=
0
=
0
, 0 =
, 0
2
,"
0
0
= 0
, #= <
! " $ ""
"8
"</ !
/ "#
&"
&$ ' '
&/
I
Ω
#
'
'
'
'0 ;
H '
% =
>J H
'
'
9
'
3
7
.
'
0
'
δ A δX 4'B)
&δ
−ρ 2 H
'
9
';
4
% +
Ω
<
// "$<
'
'
&
2H
7 .
% +
Ω
'
'
2H
∂Ω
'
'
7
.
&
'
7
&
'
3
@
HO@
'
0:
'0 '
%
O
@
4
'
T
, #= <
Ω
I
>J H
! " $ ""
"8
"</ !
/ "#
% =
−ρ 2 H
% +
Ω
( = [X ] =
#
// "$<
&
2H
% +
Ω
5=
H5 ( #5 =
[
2H
∂Ω
H5
]#
5
'
Ω
I J 5# 5 >J J" #"
%=
Ω
−J 5# 5 2 J" #" % +
&
Ω
2 J" #" % +
∂Ω
2 J" #"
, #= <
Ω
%=
I J 5# 5 >J J" #"
( = [X ]# =
#
! " $ ""
"8
"</ !
/ "#
Ω
σ J 5 >ε J"
Ω
[
H5
%
#
−J 5# 5 2 J" #" % +
]#
5
2
&
Ω
H ( = # [X ]= #
#5 + #
E +
E +
// "$<
Ω
2 J" #" % +
J" 2
∂Ω
#=
#5 = #
ρJ 5 J" %
=F
F
[
#"
' 2 J"
∂Ω
=
2 J" #"
]
+ >>>
, #= <
! " $ ""
"8
"</ !
/ "#
"
F=
2
=
// "$<
7 .
%
Ω
#
2H
%+
2H
∂Ω
> 7 * ! ", "
! !* , '" ",
'
,'
,
(!"
, !&
*
!+ " ,
, & *
P , '
, "
7
'
4
%
4 ++ "# # # ' ",
'
' ,'
, ( Q ,
* "
5
#
"!
= [X
]
""
#
=
>!#
H 5#
5=
5
1"5 = ρ H" 4 2H5 4
Ω
K
' %
"5
=
Ω
[
5! @
I (H
'
@
"
%
)> J (H 5 )] &
@
5
'
'
&
'
(
( =# − +#
(
"!
""
#
>!#
, .7
(
"
=# J ( +# J ( 2
IJ ( = − 2 J ( =
'
#
(
.
#(
4@
#,
=ρ
7
=
1"5 = ρJ" ( J5 ( % 1 =
Ω
(
−
7
ρ 7
(
7
−
(
7
(
7
=
(
−
7
(
7
*
(
5
'
4
(.
&D
"!
""
'
ω,
#
>!#
(
"
ω(
ω
$ =
#
2
( =[J ( 2J ( 2J ( 2J) ( ] # =[X ( ] #
ω
'
.
=
.
7
1 =
ρ
[X ][X ]
( 2
1"5 = ρJ" ( J5 ( %
Ω
=
.)
−
−
.
−
)
)
%
)
5
'
(.
&D
4
$ =
#
"!
'
""
ω,
#
>!#
(
"
ω(
ω
" =[' " 2' " 2' " 2') " ] $ =[& " ] $
2
ω
'
% '
7
H=
K= 3
3
7
,
,
[X′′ ( ][X′′ ( ]
(
7 −
)7 − 7
3
K=
7
, *
7
7
− 7
)7
←
←ω
←
←ω
* 8 D # < ! " "?"#
$ F<
"! " /
*($ '
" < #
#" F
4
*(,
'
& /
∂
∂)
3 ) (2 + ρ
∂
∂(
4@'
"
=H (
(2
H ( =H
"
'
".
"
%
.
0(
7
H( =
3
0
7
(2 =
, ω +ϕ
)
−ω ρ = 2 , "
0(
,
+ E ,"
7
ω =
0
7
)
3
ρ
0(
0(
0(
+: + ,7
7
7
* 8 D # < ! " "?"#
$ F<
"! " /
*(($ '
4
'
"
/
/
SB π
∂ H
1= 3
(2
∂(
!
)
3
'
ρ
.
) B)
/ B)
'3
=
H = H ,"
".
"
:
/.
) B)@
/ B)@
4
0
ω =
7
" < #
#" F
3
ρ
π
7
π(
2 ≥
7
SB)@
* 8 D # < ! " "?"#
$ F<
"! " /
*(($ '
ω,
4
'
4
"
7 −
)7 − 7
3
7
, *
.
7
)7
*
1=
)
, *
7
7
− 7
)7
←
←ω
←
←ω
.)
−
7
.
− 7
− 7
)7
".
"
: .
,
ω(
K=
" < #
#" F
'
4
'
'
) B ,B)@
.
'
%
/
' .
/ B (B)
' '
ω, @ω
ω(
7 ←ω
)7 ← ω
3 )7
K$ =
7 7
7
$=
)
F
)
−
−
)
* 8 D # < ! " "?"#
$ F<
"! " /
*(5$ '
4
.
'
" < #
#" F
/.$ '
'
".
"
& 7
4
4
; ,
'
'
.
.
Y'
4
' . ) B ,B)@
/ B (@ - / B ω(
- ) B ω,B)
* 8 D # < ! " "?"#
$ F<
"! " /
*(5$ '
4
−
−
)
(=
%
.
←
←ω
−
)
4
'
←
←ω
" < #
#" F
/.$ '
".
"
'
& 7
.
=
)
.
)
%
'
4
−
−
−
)
.)
*
1$ =
)
'
.
.
−
7
− 7
)7
% '
− 7 ←
3
K$ =
7 − 7 )7 ← ω
* 8 D # < ! " "?"#
$ F<
"! " /
*(5$ '
4
.
'
/.$ '
− 7
.
*
− 7 )7
)
ω
4
4
"
'
.
ω =
2)R
"
ω =
"
;
" < #
#" F
F$ ' 7
'
'
3
ρ 7)
ω =
3
ρ 7)
4
& 7
− 7
3
+
7 − 7 )7 ω
W 4 ' W : ';
2
".
"
2
3
ρ 7)
'
3
ω = )M.2.
ρ 7)
@ 8
, /
#P
=
* 8 D # < ! " "?"#
$ F<
"! " /
*5$ '
8
4
-4 ' '
" < #
#" F
'
".
"
7
'
.
O '
8< ' .
#0 ;
8$
L
0.
/
'
' 4
'
' % ' .
@
'
'0 %
K
%
#$8
4
'
*5$ '
<
'
!
4
-4 ' '
' % '
'
7
'
' % '
∂)
3
(2
)
∂(
##8. 4@' B)
4@' Bν
ν 4 Oωω'
<
'
'
% ' .
'
7
)
3
H (
& (
)
(
< @E
+ρ
( −ω
∂
∂
(2
7
= ' (2
ρ H ( &( ( =
> −ω < @
>=
*5$ '
<
'
4
<
'
'E :
%
'
<
@
<
@E
-4 ' '
' % '
7
'
' % ' .
'
'
'
>=<
>= ω <
O
'
'@ 4 '
'E
@E
@
7
>= ," * ≠ 2
H >= ω *
*5$ '
7
4
!
-4 ' '
7
42 =
'- O '
'
5=
∞
5=
#5
#0
7
∞
5=
∞
'
'
ρ #5
;
ρ H5 ( H ( ( + # 5
V @
OZ
∂ )H 5 (
H 5 ( + 3# 5
'
7
4
Υ5 4 # 5
∂(
'
)
@ 0
= ' (2
'
7
∂)H (
H ( ( = ' (2 H ( (
3
)
∂(
V @E OZ
4.
*5$ '
7
4
[
+ω #
!
%
* #
7 7
-4 ' '
]=
7
H
7
'
( ' (2
( 2 = 2 >>>
$ O '
9 4 ' '
K ' '
4 '
.
F
W '
W3
.
'
*5$ '
7
K
[
* #
4
-4 ' '
4 ' '
7
'
+ω #
.
]= H
'
[
' (2
'
= '( δ ( − ( 2 >
2 = 2 >>
( '(
F
]
* −ω +ω N
5ω = H
'.
(
H (2 5ω =
(
∞
5=
5ω
H 5 ( N 5 5ω
*5$ '
7
4
-4 ' '
7
'
F
4
"
4)
H (2 5ω
D (2 ( 2 5ω =
=
( 5ω
.
&
.
&
F F. 4-4)
&
3
'
' 9 7
'
'
3
' 9 4 ' '
PPP 3
∞
=
H (H (
* ω −ω
*5$ '
7
4
.$ '
4
4
-4 ' '
7
4
'
F
"
4)
4
.
'
"
@
F '
:
7
@0
O ' T
K
' '
T
'
'
:
*5$ '
4
7
4
.$ '
-4 ' '
7
4
'
'
:
F
4
"
F
'
'
4 ' '
'.
4).
43
4)
* "@ " @
=
∞
=
"
"
)ω + ω
F F. BOω
ω
=
∞
ρ
=
π"
+
ρ
π"
π
)