Phase space: Difference between revisions
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Carl McBride (talk | contribs) (New page: Phase space is the means by which the mechanical problem is converted in to geometry. '''Phase space''', or <math>\Gamma</math>-space, is a Euclidean space in <math>2s</math> dimensions (...) |
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Revision as of 11:15, 29 May 2007
Phase space is the means by which the mechanical problem is converted in to geometry. Phase space, or -space, is a Euclidean space in dimensions (i.e. ), where is the number of degrees of freedom. Thus our description of our system in terms of positions and velocities now becomes a point in phase space. Changes in our system now trace out a trajectory in phase space.