Classically, yes. Quantum mechanically, acceleration is a rather ill-defined quantity, so I don't know how to answer the question other than through Ehrenfest'

Classically, yes. Quantum mechanically, acceleration is a rather ill-defined quantity, so I don't know how to answer the question other than through Ehrenfest's theorem - <F> = m <a> when we're talking <averages> [http://en.wikipedia.org/wiki/Ehrenfest%27s_theorem http://en.wikipedia.org/wiki/Ehrenfest%27s_theorem]