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We find a coordinate-independent wave-packet solution of the massiveKlein-Gordon equation with the conformal coupling to gravity in the de-Sitteruniverse. This solution can locally be represented through the superposition ofpositive-frequency plane waves at any space-time point, assuming that thescalar-field mass $M$ is much bigger than the de-Sitter Hubble constant $H$.The solution is also shown to be related to the two-point function in thede-Sitter quantum vacuum. Moreover, we study the wave-packet propagation overcosmological times, depending on the ratio of $M$ and $H$. In doing so, we findthat this wave packet propagates like a point-like particle of the same mass if$M \ggg H$, but, if otherwise, the wave packet behaves highly non-classically.

On quantum corrections to geodesics in de-Sitter spacetime