[Q]Different interpretation of same wavefucntion.

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The discussion centers on the interpretation of wave functions in quantum mechanics, specifically regarding momentum eigenstates. Participants debate whether a wave function that is mathematically identical to a momentum eigenstate can be interpreted differently, particularly in terms of superposition. The consensus is that if a wave function is indeed a momentum eigenstate, measuring momentum will yield the corresponding eigenvalue without altering the state. The conversation highlights the complexity of visualizing wave functions and their probabilistic implications in quantum mechanics.

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good_phy
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Hi

Is it possible that same wavefuction described by math can be interpreted to different

aspect?

For instance, Some wrote wave function as same as momentum eigenstate which is

normalized

But he seemed claim that it is not momentum eigenstate even mathmetical formula is same

And he assumed it is in superposition of all momentum eigenstate in oder to find probability which eigenstate is chosen after momentum measurement

Is it possible? I know if current state is momentum eigenstate and we measure momemtum,

we must get same momentum as same as eigenvalue of that eigenstate and measurement

can not change current state.
 
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Hm, could you post the exact argument given by this person? I agree, if it is a momentum eigenstate, measurement of momentum should give the exact eigenvalue...
 
I usually try to think of the wave function as the math that leads to the position space probability density function psi^2. I can think in spatial coordinates very well, so I think of psi^2 as the fundamental thing while I treat the underlying stuff as crazy math. I'm sure I'm missing something with this viewpoint, but that's how I visualize a wave function.
 

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