What is for the free particle moving in one dimension?

What is for the free particle moving in one dimension? Question: A free particle moving in one dimension has wave function Ψ(x,t)=A[ei(kx−ωt)−ei(2kx−4ωt)] where k and ω are positive real constants. Is a particle moving in one dimension described by the wave function? A particle is described by one-dimensional wave function: ψ ( x ) =

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