Understanding hydrogen recombination line observations with ALMA and
  EVLA
  Hydrogen recombination lines are one of the major diagnostics of H II region
physical properties and kinematics. In the near future, the Expanded Very Large
Array (EVLA) and the Atacama Large Millimeter Array (ALMA) will allow observers
to study recombination lines in the radio and sub-mm regime in unprecedented
detail. In this paper, we study the properties of recombination lines, in
particular at ALMA wavelengths. We find that such lines will lie in almost
every wideband ALMA setup and that the line emission will be equally detectable
in all bands. Furthermore, we present our implementation of hydrogen
recombination lines in the adaptive-mesh radiative transfer code RADMC-3D. We
particularly emphasize the importance of non-LTE (local thermodynamical
equilibrium) modeling since non-LTE effects can drastically affect the line
shapes and produce asymmetric line profiles from radially symmetric H II
regions. We demonstrate how these non-LTE effects can be used as a probe of
systematic motions (infall & outflow) in the gas. We use RADMC-3D to produce
synthetic observations of model H II regions and study the necessary conditions
for observing such asymmetric line profiles with ALMA and EVLA.
