Электромагнитная масса

!"
!
"#$%&'()*&+&,)#$$'$-).&/01+$)*-/0%%2.&3'$/*%1*4$+*+,.0/$5&.6&,7$5)&+8%
/$-#0+*-%9)*%%#&5+)#0)0+:/0%%#0%%)0+;0.;/$-#0+*-0'2.&2$.)*$%
!"
# !"
$ ! ! ! % &' (
% )"
$% "
$% !$ "
)
* + ,
"
, $ -. -/.
, , %$ ) 0 "
$123
4 *
$"
% 5 , * 5
"
5
$% ! !
#,3
6! "
+ 7 ! #$ ,8
= 9,
"
!
$
= &'
6
= =
&/'
ε
& :;<=φ' 3
/
6 5 ! "
$
/
? $ @ A "
%$
$B"
A * 3
= - × . = ε& :;<=φ' &'
= - × . = C &/'
*
&'
"
+ A , $
$D
*
1EF>2
&
"
->.'
/ 9
$ $ ? / G /,
= - × . = ε& :;<=φ' #$
#%
H
,,
&/' / , G % $ >
= - × . = C
7 9
! D)I#"
$ "
%9
"
12 , # 12D# 9
,
$%
! !
,
&5>'*5/
$ H
, "
A
H ",
!"
J! )
∆ = −µ
∆ =
&/'K
∆φ = − ρ
ε
&//'K
=LM +
∂ϕ
=C
∂
&/>'
∂
∂
∂
+
+
∂ ∂ ∂! !φ "
$
=
φ
= ρ
&/E'K
&/N'
) &/E' &/N' $%
E
#
&/' &//'&/>'"
$ B ! ! "
!&/'
! φ "
&/E'&/N'
∆ + µ =
∂
Q;OP-−:;<=φ × . + & −:;<=φ' + =LM & −:;<=φ' = C
∂
&/R'
% "
"#$
"
%
"#
#
-E.&
8
;OP- × . +
∂
+ =LM = C
∂
GS3:;<=φ/ "
&/R'"
&/>' $% ∂φ
&/T'
=LMφ +
=C
∂
U &//' ! φ $VFW
ρ
&/X'
∆φ = −
ε
6 ,
$%),
"
?, -N. 9
'#()"*
!φ $VFW&/X'H
"
,Y
-=
∂φ
ε
∂φ
ρ +, = − ∫ ∆φ +,
∫
/
/
∂
∂
N
&/Z'
+,3@
4
[ Y
- =−
ε ∂φ
ε ∂
:;<=φ +σ + ∫ & :;<=φ' +,
∫
/ ∂
E ∂
&/C'
8+\3
K3
&/R'&/T' "
&/Z'$%A
- =−
ε
ε ∂
-:;<=φ × - × :;<=φ.. +σ − ∫ & :;<=φ' +,
∫
/
E ∂
&/'
&/C'&/' 8
∫ +σ + ∫
∂
+, = C
∂
&//'
8.3
U
ε ∂φ
= Q− :;<=φ + -:;<=φ × - × :;<=φ.] = / ∂
=
&/>'
ε
& :;<=φ' 3
&/E'
/
U &//' U -R.%XTE
,B"
U-N.
+ &/>' &/E' $ ,"
#$&'&/'4
"
"
"
,
A
=
+, K
∫
=
+, K
∫
= R
9
8 "
*A +
"
$
A$
G $ , ) !
U
$% ! $ "
$% $ )
S3:;<=φ $%
!$U"
"
!&"
' ) $
*
$%8
^ = −
φ ∂
∂
=− / ∂
/ ∂
&>'
% 8
/ = ρ =
∂ ∂
& ' = µ∗
/
∂ E
∂
&>/'
_3
)%!"
#$
9
T
'#()"*
B
"
A[
!
∫ ∆!+, = ∫ &=LM! + × ;OP!' +σ − ∫ &=LM=LM! + ;OP;OP!'+,
8!3
∂
/∂
! = F µ *
A8
= −
∂
+ / = C
∂
&>>'
∂ ∂ =
/ = − / ∂ ∂ E
&>E'
=LM +
8
'
% $$K
'
=
-&=LM ' + & ;OP ' .
Eµ
8 =
'
= −
ε
&
:;<=
'
φ
=
=
µ
K
/ /
/ /
∂
∂
=LM +
× ;OP .
/µ ∂
∂
9
$
X
&>N'
&>R'
*
!"
8
- & '+"
&E'
+ = µ
E π0
&E'&>R'&>X' 8
µ - & '+" + = &
'
/ E π0 &E/'
?
/
8
∂
+ = # + ∂
&E>'
9
"
+
' 4 + $% "
$
+"
+ $ -G&
'
+ "
+
+$
! $%G"
, +
"
$"
$H "
+,
"
F0
' 7 "
Z
'*
U "
%$ "
%
#
&
'
) ^ = −C N∂ F ∂ $%)B!
# "
$%&',
$%
&
' ( ) "
!
7 8S`
"
%$ ! % ) *
$ +, -
$, ()
7
5/ "
8'&,&./0
"
& U !
"
' & '4
$
"
$%
! $"
0 "
@ #
!
"
!7
"3"
, ! , ! "
!
C
H
,! $$
!"
*
1 = ∫ Q∫ - −µ & −
' + Λ .+, ]+
/ &a'
8 µ = µ + µ K
µ 3
K
µ 3
4&a'
∂ &µ ' + × ;OP &µ ' − :;<=&µ ' + :;<=Λ = C
∂
&a/'
<' , $ &bSC' 5! $%8
:;<=µ = :;<=µ + :;<=µ = C
&a>'
'G,%$&bcC' "
!&d>'
U&a/'4
&a>' "
,
−
∂ ∂
&µ ' − &µ ' + :;<=Λ = C
∂
∂
&aE'
&aE' %"
!&&>E''
/ = − ∂
∂ ∂ µ = − =− & '
/ ∂
∂
∂ E
&aN'
#
Vφ "
5!
<=>>=?@AB!>C
DEFG
!HAIA<JKL
MNOOBP
HAIQ<JRJ
STPA>
P
!HAIA<JKL
RUPT
HAIQ<JFL
LTOPQVOPQA
W
C !TWQT
W
TNNENXJXR<JYFZFRL<TYF
F7[\/&,,]\/&4^_$5$1H`'$*-#;a+$.1*$*+-&+)*+b&.2$.+
cd9de-#'&/*'-#<YKR
&'(
N! Q
fOg#))2Ihh555+)&.1h0-h*10h
)*+,-.(6('*1*+i$'/0*+4%(.(
&(
AW!Q!PMXXXf>Q!
g
BQMY MXXX
/&0(
1(
J MXX<!
jfQEg555+)&.1
/