DOC. 19
LECTURE
ON ELECTRICITY
&
MAGNETISM
519
oder[9]
Dq
qdp
__
=
-gradp-
~2at
dp
1Jp
divpq+
= 0
dt
P =
1
1
-
q
\
\c
J
{Pn
+
C2
°
c-f
jf(p)dp}
m
P =
"3
r
p
=
m
I
1
1
f
I
t2 l2
AD.
[3
007].
The
notes
cover
the
last
seven
pages
of
a
notebook,
17x21.5
cm,
of lined white
paper
and
are
written
in
ink
with occasional
additions in
pencil. The first part
of
the
notebook
was
published
as
Lecture Notes for Course
on
Electricity and Magnetism
at
the
University
of
Zurich
. . .
,
17
October 1910-4
March
1911
(Vol.
3,
Doc.
11).
[1]
This document
is
dated
on
the
assumption
that these
notes
were
written
by
Einstein
in
preparation
for
his
course
in
winter
semester
1913/1914
at
the
ETH,
2
October
1913
to 21
March
1914. See
Appendix A
for
a
summary
of
the
contents
of
the complete
course
that
is
reconstructed
on
the basis of student
notes.
[2]
This
array
lists the
components
of
the
electromagnetic
field
tensor
F(iV
and its
dual
Fx^v.
See Doc.
1
for
the
notation used
in
this document.
[3]
Ä
is
the force
on a mass
point
and
A
the
work
done
on
it
per
unit of time. The
square
root
is
J1
-
(q2/c2)
.
[4]
Gv
is
the
four-velocity.
[5]
In
the
expression below,
w
stands for
1
-
(q2/c2)
.
[6] For bodies
at rest
^)4 =
0,
so
that
(G^)
CP^) =
0.
[7] This section shows
strong
similarities with the discussion of
relativistic
hydrodynamics
in
Einstein's
manuscript
on
special
relativity (Doc.
1).
[8]
The
third
term in
the
second
equation
below should
be
"p
(q,
V)
qx."
[9]
"p0"
in
the third
equation
below should
be
"p0/f."