Quantum mechanical representation of acoustic streaming and acoustic radiation pressure

We discuss acoustic streaming and acoustic radiation pressure from the viewpoint of energy and momentum of acoustic waves, using a quantum mechanical representation of acoustic waves. We represent the energy epsilon and momentum mu of acoustic waves as epsilon = n(p)(h) over bar omega and mu = n(p)(h) over bark; here n(p) is the phonon density, omega is the frequency, k is the wave number, and (h) over bar is Planck's constant. It is easy to derive the momentum of acoustic waves as mu = epsilon /c (c is the sound velocity). Therefore, we can represent the acoustic streaming and acoustic radiation pressure in terms of the momentum.