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

✍ Scribed by Ademir L. Xavier Jr.; Marcus A.M. de Aguiar


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
766 KB
Volume
252
Category
Article
ISSN
0003-4916

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✦ Synopsis


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)=*q 2 Â2+;q 4 and compare the results with an ``exact'' calculation.