How to find the time-independent (unnormalized) wavefunction

[Mary]

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

 

[Simon Bridge]

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?