  We consider a Schr\"{o}dinger particle placed in an external electromagnetic
field of the form typical for scattering settings in the field theory:
$F=F^\mathrm{ret}+F^\mathrm{in}=F^\mathrm{adv}+F^\mathrm{out}$, where the
current producing $F^{\mathrm{ret}/\mathrm{adv}}$ has the past and future
asymptotes homogeneous of degree $-3$, and the free fields
$F^{\mathrm{in}/\mathrm{out}}$ are radiation fields produced by currents with
similar asymptotic behavior. We show that with appropriate choice of
electromagnetic gauge the particle has 'in' and 'out' states reached with no
further modification of the asymptotic dynamics. We use a special
quantum-mechanical evolution 'picture' in which the free evolution operator has
well-defined limits for $t\to\pm\infty$, thus the scattering wave operators do
not need the free evolution counteraction. The existence of wave operators in
this setting is established, but the proof of asymptotic completeness is not
complete: more precise characterization of the asymptotic behavior of the
particle for $|\mathbf{x}|=|t|$ would be needed.
