Broken Spin-Orbit Symmetry in SuperfluidHe3andB-Phase Dynamics

It is shown that the $B$ phase not only has a "phase dynamics" such as that in He II, but also an orbital dynamics somewhat similar to that of ${}_{}{}^3{}_{}{}^{}\mathrm{He}$-$A$ or a nematic liquid cyrstal. The rederived $B$-phase hydrodynamic theory, complete with nonlinear terms, establishes the equivalence between rotations in orbital and spin spaces and shows the intriguing possibilities of generating a magnetization by mechanical rotations and of substituting the magnetic field with oscillating parallel plates in "NMR" experiments.