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The spectra of fermionic excitations, pairing correlations and edge currentsconfined near the boundary of a chiral p-wave superfluid are calculated toleading order in $\hbar/p_f\xi$. Results for the energy- and momentum-resolvedspectral functions, including the spectral current density, of a chiral p-wavesuperfluid near a confining boundary are reported. The spectral functionsreveal the subtle role of the chiral edge states in relation to the edgecurrent and the angular momentum of a chiral p-wave superfluid, including therapid suppression of $L_z(T)$ for $0 \lesssim T\ll T_c$ in the fully gapped 2Dchiral superfluid. The edge current and ground-state angular momentum are shownto be sensitive to boundary conditions, and as a consequence the topology andgeometry of the confining boundaries. For perfect specular boundaries the edgecurrent accounts for the ground-state angular momentum, $L_z=(N/2)\hbar$, of acylindrical disk of chiral superfluid with $N/2$ fermion pairs. Non-specularscattering can dramatically suppress the edge current. In the limit of perfectretro-reflection the edge states form a flat band of zero modes that arenon-chiral and generate no edge current. For a chiral superfluid film confinedin a cylindrical toroidal geometry the ground-state angular momentum is, ingeneral, non-extensive, and can have a value ranging from $L_z > (N/2)\hbar$ to$L_z < -(N/2)\hbar$ depending on the ratio of the inner and outer radii and thedegree of back scattering on the inner and outer surfaces. Non-extensivescaling of $L_z$, and the reversal of the ground-state angular momentum for atoroidal geometry, would provide a signature of broken time-reversal symmetryof the ground state of superfluid \Hea, as well as direct observation of chiraledge currents.

Surface States, Edge Currents and the Angular Momentum of Chiral p-wave Superfluids