This leads us to the use of phase space in a different sense.
A flow in most small patches of the phase space can be made very simple.
Finally, a solution in the phase space is transformed back into the original setting.
This larger manifold is called the phase space of the system.
In most cases the patch cannot be extended to the entire phase space.
All the transitions are shown in the phase space below.
These can produce new coherent states and allow us to move around phase space.
This is the most similar a quantum state can be to a single point in phase space.
Each point of this phase space is associated to an event probability.
Usually, a phase space does not have a low enough dimension (two or three) to be pictured.