# Phase space trajectories

1. Jan 9, 2011

### madman143

Why cant trajectories in phase space intersect?

2. Jan 9, 2011

### Rocky Raccoon

Initial conditions uniquely define the trajectory in phase space (by virtue of Hamilton's equation). If two trajectories intersected, the point of intersection could be chosen as an initial condition which wouldn't have unique evolution in phase space, contratry to Hamilton's equation.

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