A Phase in a Coherent State Wave Function - Is It Always Irrelevant?
  We point out that harmonic oscillator coherent states, in coordinate representation, require particular phase factor, in order to represent classical time evolution properly. The presence of such a phase is clearly stated only in a minority of scientific sources discussing properties of coherent states. 
W.Berej, P.Rozmej (University MCS, Lublin, Poland)