Is a wave function as complete as can be

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Roodles01
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For a wave function describing the state of an isolated system in 1D, does a wave function describe a system completely?
 
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According to standard quantum mechanics the quantum state represented by a wave function is complete. The are no further hidden variables or hidden information.

Of course one has to take into account relevant information like spin etc.
 
Ooh! Not got up to spin, yet.
Thank you.
 

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