Beams and time dependence



My physics book uses the expression;

psi(x) = A exp(ikx) + B exp (-ikx)

to model the incident and reflected components of a steady state beam of
particles of well defined momentum as they scatter normally from a surface.
(transmitted part not included)

It describes these as waves travelling in a region of zero potential.
In what sense are they *travelling* if there is no time dependence.

Earlier chapters introduce travelling waves as functions of the form

y(x.t) = Asin(kx+wt)
which I can follow.
Any tips links would be most welcome please.
Regards
Zinc

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