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State and prove Liouville's Theorem.
(q.p+dp)
B
р
0
q
speed
i. e.
df
dt
A
(q.p)
N
-
Account to Liouville's Theorem we define
the number of point one unit volume of phase
space as density p, then account to this theorem
the density of point remain constant with time.
V
= :0
p = constant
(q +dq.p+dp)
C
↑p
(speed)
q
D
(q dq,p)

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