Circulation and Angular Momentum in theAPhase of Superfluid Helium-3
It is shown that the curl of the velocity field generally identified with ${\stackrel{\ensuremath{\rightarrow}}{\mathrm{v}}}_{s}$ in the $A$ phase of superfluid $^{3}\mathrm{He}$ is entirely determined in the absence of singularities by the spatial gradients of the order-parameter symmetry axis $\stackrel{\ensuremath{\rightarrow}}{\mathrm{l}}$. As a simple application of this relation it is argued that in a texture of cylindrical symmetry in a volume $V$, the liquid should have a nonvanishing thermal-equilibrium orbital angular momentum of order ${\ensuremath{\rho}}_{s}\frac{V\ensuremath{\hbar}}{M}$.