Replacement manifolds: A method to uniformize semiclassical wave functions- art. no. 026215

We present a semiclassical technique that relies on replacing complicated c lassical manifold structure with simpler manifolds, which are, then evaluat ed by the usual semiclassical rules. Under circumstances where the original manifold structure gives poor or useless results semiclassically the repla cement manifolds can yield remarkable accuracy. We give several working exa mples to illustrate the theory presented here.