Two-fluid equations for phonons without momentum

In the customary microscopic derivation of the two-fluid equations of liquid He II explicit use is made of the assumption that an elementary excitation of wave vector k carries a momentum ?k. In this paper it is shown that phonons in a liquid can be defined as carrying momentum ?k (Eulerian phonons) or zero momentum (Lagrangian phonons). A careful analysis—in particular of the concept “velocity of the bearer fluid”—shows that the two-fluid equations turn out to be the same in either case.