Can the Momentum of an Electron Be Determined from Its Wavefunction?

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SUMMARY

The discussion centers on determining the momentum of an electron from its wavefunction, specifically \(\Psi = A \sin(cx)\). It is established that the wavefunction squared represents the probability density of finding the electron in space. The confusion arises from the relationship between momentum and time, as the given wavefunction does not explicitly depend on time. In quantum mechanics, an electron's momentum is not definite; rather, it exists in a superposition of momentum eigenstates, with each eigenvalue having a specific probability of being measured.

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wavefunction/momentum confusion

Homework Statement


Given a wavefunction \Psi=Asin(cx) of an electron can i find it's momentum?


Homework Equations


Thats what i don't know.

The Attempt at a Solution


Wave function squared is the probability if finding the particle. So I'm given the probability of finding a particle in space how do i find momentum when momentum is dependent on time but the given wavefunction is not?
 
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What makes you think that the electron even has a definite momentum? In quantum mechanics, a wavefunction can be in a superposition of momentum eigenstates, and if the momentum is measured, each momentum eigenvalue will have some probability of being observed.

What does the question really say? (word for word)
 

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