We study the properties of an anisotropically paired superconductor in the presence of a specularly
reflecting surface. The bulk stable phase of the superconducting order parameter is taken to have
Contributions by order parameter components of different symmetries vanish in the bulk, but may enter
in the vicinity of a wall. We calculate the self-consistent order parameter and surface free energy
within the quasiclassical formulation of superconductivity. We discuss, in particular, the dependence
of these quantities on the degree of order parameter mixing and the surface to lattice orientation.
Knowledge of the thermodynamically stable order parameter near a surface is a necessary precondition
for calculating measurable surface properties which we present in a companion paper.
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