Phase space: Difference between revisions
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 (...) |
Carl McBride (talk | contribs) No edit summary |
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Thus our description of our system in terms of positions and velocities | 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 | now becomes a point in phase space. Changes in our system now trace out a trajectory | ||
in phase space. | in phase space. xx3xx | ||
[[category: statistical mechanics]] | [[category: statistical mechanics]] | ||
Revision as of 14:07, 5 July 2007
Phase space is the means by which the mechanical problem is converted in to geometry. Phase space, or Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Gamma} -space, is a Euclidean space in Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 2s} dimensions (i.e. ), where Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle s} 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. xx3xx
