In an introductory textbook of Quantum Mechanics, I found the momentum eigenfunction in position space to be given as Ne^ip/h.

Where N is the normalization factor and i is root of -1.

I don't understand clearly what this function signifies. Does it tell us that the ampitude of finding a particle with momentum p oscialltes as we move about the positon / x axis?

So is it that a particle is favoured to have certain momentum values in some special positions?

In an introductory textbook of Quantum Mechanics, I found the momentum eigenfunction in position space to be given as Ne^ipx/h.

Where N is the normalization factor and i is root of -1.

I don't understand clearly what this function signifies. Does it tell us that the ampitude of finding a particle with momentum p oscialltes as we move about the positon / x axis?

So is it that a particle is favoured to have certain momentum values in some special positions?