Complex Trajectories in the Quartic Oscillator and

The semiclassical approximation of the coherent-state propagator requires the computation of complex trajectories satisfying special boundary conditions. In this paper we present a method for the determination of such trajectories for one-dimensional polynomial potentials. We also compute the semiclassical propagator for the case V(q)=*q22+;q4 and compare the results with an ‘‘exact’ ’ calculation. 1996 Academic Press, Inc. 1