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

We present a semiclassical technique that relies on replacing complicated classical manifold structure with simpler manifolds, which are, then evaluated by the usual semiclassical rules. Under circumstances where the original manifold structure gives poor or useless results semiclassically the replacement manifolds can yield remarkable accuracy. We give several working examples to illustrate the theory presented here.