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Complex Trajectories in the Quartic Oscillator and Its Semiclassical Coherent-State Propagator

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)=lambda q^2  + beta q^4 and compare the results with an “exact” calculation.

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