Frequency of wave function

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wave function always refer to the position of particle with probability amplitude. since wave function is not a wave but field, frequency seems meaningless to it. can i imagine it is a vibration field with certain frequency f in complex plane or something?
 

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jtbell
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vibration field with certain frequency f in complex plane or something?
That's exactly what it is. A wave function generally has a complex phase factor of the form ##e^{i \omega t} = \cos (\omega t) + i \sin (\omega t)## where ##\omega = 2 \pi f##.
 

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