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5.2

Required quantities: Particle number

More general, in a time

independent

situation the number

N

may be described within a six dimensional

phase space

(x;

;E) in which:

x = (x1; x2; x3) is the spatial coordinate,

is the particle direction which is a point on a unit sphere S

with the angles coordinates

ϕ

and

θ

E is the energy variable.

E), , z, y, x,(

θϕ

NN

=