How to find the time-independent (unnormalized) wavefunction

Mary
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Homework Statement



How would I find the time-independent (unnormalized) wavefunction given the momentum? I don't know if this can be generalized without giving the momentum in the problem. I want to do this problem myself but I'm stuck.

The problem states:

A particle of mass m moves in one dimension (x). It is known that the momentum of the particle is p_{x}=\hbark_{0}, where k_{0} is a known constant. What is the time-independent (unnormalized) wavefunction of this particle, \psi_{a}(x)?

this is only the first part of the problem. If I get past this I believe I can finish the rest.

TextBook Used

Liboff's Introductory Quantum Mechanics 4th edition ...hasn't been that helpful
 
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If you have a particle prepared in a position-space state ##\psi(x)##, how would you normally go about finding the momentum of the state?
 

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