Definition of stationary state (for wave function quantum)

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AStaunton
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Hi there

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

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

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