Hydrodynamics of3He-B

Abstract
The linearized hydrodynamic theory of 3He-B is derived from thermodynamics by symmetry arguments alone. Spin waves are obtained as Goldstone modes of the broken spin-orbit symmetry. Their spectrum omega (k) is analysed and found to be isotropic, phonon-like with a damping approximately k2. Effects of the weak magnetic dipole interaction and an applied external magnetic field are calculated. The former leads to a mixing of one transverse mode and the longitudinal mode and a gap in the spectrum of one of the Goldstone modes which is the large longitudinal NMR shift characteristic of 3He-B.

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