### phase space

(space of all possible states of a system)

A **phase space** is a space of all possible states of a system, and
for mechanical systems the phase space typically considered is a
position and a momentum component for each dimension, i.e., six
dimensions for 3-dimensional space. Two dimensions are sufficient
for the phase space of a pendulum allowed to swing along a single
path, one for its position along the path and another for its
momentum. The term **phase line** similarly indicates just a single
dimension of states (which would not be for such a mechanical system).

A **phase integral** is an integral calculating a volume in a
phase space. For some calculations, such volumes is useful as a
substitution for discrete numbers of potential points in the phase
space.

(*physics,mathematics*)
**Further reading:**

http://en.wikipedia.org/wiki/Phase_space

**Referenced by pages:**

final parsec problem

H3 Survey (H3)

Poisson's equation

Index