Editing Phase space
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Phase space, sometimes written as <math>\Gamma</math>-space, is an Euclidean space in <math>2s</math> dimensions | Phase space, sometimes written as <math>\Gamma</math>-space, is an Euclidean space in <math>2s</math> dimensions | ||
(''i.e.'' <math>E^{2s}</math>), where <math>s</math> | (''i.e.'' <math>E^{2s}</math>), where <math>s</math> | ||
is the number of | is the number of degrees of freedom. | ||
Thus a description of a system in terms of positions and velocities | Thus a description of a system in terms of positions and velocities | ||
now becomes a point in phase space | now becomes a point in phase space. Changes in the system now trace out a trajectory | ||
in phase space | in phase space. | ||
One important | One of the most important properties of phase space is that, for a long period of time, the phase-trajectory | ||
will spend an equal amount of time in equal volume elements. | will spend an equal amount of time in equal volume elements. | ||
==See also== | ==See also== |