http://wiki.karljones.com/index.php?action=history&feed=atom&title=Phase_space 2026-10-23T16:03:33Z Revision history for this page on the wiki MediaWiki 1.24.2 http://wiki.karljones.com/index.php?title=Phase_space&diff=19502&oldid=prev 2016-11-03T03:07:10Z

<p>‎<span dir="auto"><span class="autocomment">General</span></span></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;'> <td colspan='2' style="background-color: white; color:black; text-align: center;">← Older revision</td> <td colspan='2' style="background-color: white; color:black; text-align: center;">Revision as of 03:07, 3 November 2016</td> </tr><tr><td colspan="2" class="diff-lineno">Line 17:</td> <td colspan="2" class="diff-lineno">Line 17:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [[Parameter space]]</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [[Parameter space]]</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [[Separatrix]]</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [[Separatrix]]</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* [[State space]]</ins></div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>=== Applications ===</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>=== Applications ===</div></td></tr> </table>

Karl Jones http://wiki.karljones.com/index.php?title=Phase_space&diff=17698&oldid=prev 2016-09-04T03:44:26Z

<p>Created page with &quot;In <a href="/index.php/Mathematics" title="Mathematics">mathematics</a> and <a href="/index.php/Physics" title="Physics">physics</a>, a &#039;&#039;&#039;phase space&#039;&#039;&#039; of a <a href="/index.php/Dynamical_system" title="Dynamical system">dynamical system</a> is a <a href="/index.php/Space_(mathematics)" title="Space (mathematics)">mathematical space</a> in which all possible states of a system are...&quot;</p> <p><b>New page</b></p><div>In [[mathematics]] and [[physics]], a '''phase space''' of a [[dynamical system]] is a [[Space (mathematics)|mathematical space]] in which all possible states of a system are represented, with each possible state corresponding to one unique point in the phase space.<br /> <br /> == Description ==<br /> <br /> For mechanical systems, the phase space usually consists of all possible values of position and momentum variables.<br /> <br /> The concept of phase space was developed in the late 19th century by [[Ludwig Boltzmann]], [[Henri Poincaré]], and [[Willard Gibbs]].<br /> <br /> == See also ==<br /> <br /> === General ===<br /> <br /> * [[Phase line, 1-dimensional case]]<br /> * [[Phase plane, 2-dimensional case]]<br /> * [[Phase portrait]]<br /> * [[Phase space method]]<br /> * [[Parameter space]]<br /> * [[Separatrix]]<br /> <br /> === Applications ===<br /> <br /> * [[Optical phase space]]<br /> * [[State space (controls)]] for information about state space (similar to phase state) in [[control engineering]].<br /> * [[State space]] for information about state space with discrete states in computer science.<br /> * [[Molecular dynamics]]<br /> <br /> === Mathematics ===<br /> <br /> * [[Cotangent bundle]]<br /> * [[Dynamic system]]<br /> * [[Symplectic manifold]]<br /> * [[Wigner-Weyl transform]]<br /> <br /> === Physics ===<br /> <br /> * [[Classical mechanics]]<br /> * [[Hamiltonian mechanics]]<br /> * [[Lagrangian mechanics]]<br /> * [[State space (physics)]] for information about state space in physics<br /> * [[Phase space formulation]] of quantum mechanics<br /> <br /> == External links ==<br /> <br /> * [https://en.wikipedia.org/wiki/Phase_space Phase space] @ Wikipedia.org <br /> <br /> [[Category:Mathematics]]<br /> [[Category:Physics]]</div>

Karl Jones