D O C . 1 2 R E L AT I V I T Y L E C T U R E N O T E S 9 5
In der That für ruhendes System
Nachweis des Impulssatzes für elektromagnetisches Feld.
Man kann setzen
I1
M-----x
q
=
- - - - - - - - -
E
M
c2
---- -
1
1
q2
c2
----- –
------------------ ⋅ =
[p. 9]
I1 0 =
E0
M
c
2
----- =
–kν fμν =
μ
fμν---------
∂
μσ
∂xσ
- =
(erstes
Maxwell’sches System)
[34]
∂
∂xσ
--------( fμνfμσ)
fμσ----------μνxσ∂
∂
– =
fμσè--------- + ⋅
∂xμ
-
æ∂fνσ
----------øöσμxνf[33]∂∂
+ =
∂
∂xμ
--------( fμσfνσ)
μ μ
+ ⋅
fνσ----------μσxμ∂
∂f
– =
∂2
∂xν
--------( + fμσfσμ)–fσμ∂fμ
1
2∂xν
----------(fμσ -
∂
2 ) –
f21f24 f31f34 +
μ 1 ν 4 = =
z y y z
–
–kν
1
2∂xμ
-- -
∂ 1
2
--fσμfσν -
1
4
--fστ -
2
δμν
μ
–
è ø
æ ö
=
ì ï ï ï ï í ï ï ï ï î
Tνμ