PARAMETER-FREE QUASI-CLASSICAL BOUNDARY-CONDITIONS FOR SUPERFLUID HE-3 AT ROUGH WALLS - B-PHASE ORDER PARAMETER AND DENSITY OF STATES

Parameter-free boundary conditions are discussed for the quasiclassical Green's functions at a rough wall. These conditions have a closed form: all information specific to the wall is eliminated under the assumption that the impurity layer covering the wall is much thicker than the mean-free path of quasiparticles. To demonstrate them in action we calculate the He-3-B order parameter and the density of states, and compare them with previous work. Our main conclusion is that the new boundary conditions give qualitatively similar density of states as the "thin-impurity-layer" model, but different from that of the "randomly-rippled-wall" model. Moreover, our approach, being much simpler, allows us to resolve the fine structure of quasiparticle resonances which has not been reported earlier.