176
DOC.
4
KINETIC THEORY LECTURE NOTES
[p. 29] The
multiplicative
constant
can
easily
be determined
from
the condition
dW=1
3
3/2
TJ,
-x2
C
dx
21
2 I
1
konst
5
dedidc
=
cost
U
/(2/m)S
,J(2/m)S
const
2
lx,
0
Ii,
e
-(x2+y2)
dxdy
0
2irr
dr
in
`Jo
e
-x
4dx
yr
1.[61]
L
2~j~
konst
3/2
S
konst
S
(4iv)312
konst
We
have
dW
=
const
e
m
d\
-e
m di\
••
=
dW^dW^dW^
The
probabilities
that
C
lies
between
specific
limits
are always
the
same,
no
matter
what values
£
&
^
may
have.
(Probability
of
mutually
independent events.)
5
dW( =
const
e
[m/
d£
We
wish to
determine the
const.
dW(=
1
konst
/-©
e-i*H2lm)e
=
J
m
2
0
m
+
00
konst
2
0
e -
x
-v-2
dx
= 1
konst
=
m
m
27T0
V -
oo
V.
2V*
