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)homega and mu=n(p)hk; here n(p) is the phonon density, omega is the frequency, k is the wave number, and h 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.