basic_tools:phase_space

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basic_tools:phase_space [2020/04/03 10:50] 81.217.94.109 small fixes |
basic_tools:phase_space [2020/05/12 06:25] (current) 173.245.129.4 grammar fix |
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is governed by a **flow** in phase space. | is governed by a **flow** in phase space. | ||

- | To understand this image that you follow one individual trajectory in phase space. Say, you take a pencil, put it down at one point in phase space and then start to draw the correct trajectory for the system which follows from [[equations:hamiltons_equations|Hamilton's equations]]. Now, this trajectory is only one thing that can happen in our system. When we are interested in the bigger picture, we need to follow all trajectories that are possible. This means, that we take an infinite number of pencils, put them down and the draw the trajectories. Each trajectory is calculated with Hamilton's equations. The set of all possible trajectories defines a flow in phase space. | + | To understand this imagine that you follow one individual trajectory in phase space. Say, you take a pencil, put it down at one point in phase space and then start to draw the correct trajectory for the system which follows from [[equations:hamiltons_equations|Hamilton's equations]]. Now, this trajectory is only one thing that can happen in our system. When we are interested in the bigger picture, we need to follow all trajectories that are possible. This means, that we take an infinite number of pencils, put them down and the draw the trajectories. Each trajectory is calculated with Hamilton's equations. The set of all possible trajectories defines a flow in phase space. |

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basic_tools/phase_space.txt · Last modified: 2020/05/12 06:25 by 173.245.129.4

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