Real trajectories in the semiclassical coherent state propagator

Details Real trajectories in the semiclassical coherent state propagator Real trajectories in the semiclassical coherent state propagator

2005-07-13

arxiv.org/abs/quant-ph/0507124v1

J. Math. Phys. 46, 102102 (2005)

Physics

Quantum Physics

19 pages, 6 figures

Scientific paper

10.1063/1.2038608

The semiclassical approximation to the coherent state propagator requires complex classical trajectories in order to satisfy the associated boundary conditions, but finding these trajectories in practice is a difficult task that may compromise the applicability of the approximation. In this work several approximations to the coherent state propagator are derived that make use only of real trajectories, which are easier to handle and have a more direct physical interpretation. It is verified in a particular example that these real trajectories approximations may have excellent accuracy.

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