This leads us to the use of phase space in a different sense.

Phase spaces deal with everything that might be, not what is.

This is the most similar a quantum state can be to a single point in 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.

A flow in most small patches of the phase space can be made very simple.

In most cases the patch cannot be extended to the entire phase space.

Each point of this phase space is associated to an event probability.

This larger manifold is called the phase space of the system.

Usually, a phase space does not have a low enough dimension (two or three) to be pictured.

The constraints are certain functions of these phase space variables.

For example, this is a way to describe the phase space of a pendulum.

The original and the new variables form a vector in the phase space.

Finally, a solution in the phase space is transformed back into the original setting.

The set of all dimensions of a system is known as a phase space.

This can happen along critical lines in phase space.

The distribution function is constant along any trajectory in phase space.

A periodic motion is a closed curve in phase space.

We consider the action of the constraints on arbitrary phase space functions.

It is possible to define operators to move the coherent states around the phase space.

However, due to energy conservation, the phase space is constrained to three dimensions.

The volume "sweeps" points of phase space as it moves.

A coherent state is not a point in the optical phase space but rather a distribution on it.

These equations describe a flow or orbit in phase space.

It separates (hence the name) the phase space into two distinct areas.