Definition of stationary state (for wave function quantum)

[AStaunton]

Hi there

My textbook says the following is the time independent wave function for a stationary state:

$$\Psi(x,y,z,t)=\psi(x,y,z)e^{-iEt/\bar{h}}$$

Just trying to get my definitions straight...is a stationary state the analogue of a standing wave?

 

[AStaunton]

correction****

time dependent