The dispersion of transverse zero sound in liquid helium 3

Abstract

The dispersion relation for transverse sound in a Fermi liquid has been derived for all omega tau ( omega is the sound frequency, tau is the quasi-particle relaxation time), and using this the shear wave properties of liquid 3He have been calculated. For omega tau <1 the dispersion relation should behave classically, but at low temperatures and high frequencies ( omega tau >>1) transverse zero sound should propagate if the liquid is pressurized. The nature and properties of this zero sound are discussed, and suggestions are offered as to how it could be studied experimentally.