Publication:
Non-Markovian Dissipative Semiclassical Propagator of the Wigner Function

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2013-10-31

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We construct the Feynman and Vernon' theory of the influence functional in phase space using Marinov path-integrals. Based on this result we construct the phase-space version of the celebrated Ullersma-Caldeira-Leggett model, which allows us to derive the semiclassical propagating function of the Wigner function. We show that semiclassical propagation is done by pairs of deterministic coupled non-classical trajectories whose corresponding equations of motion contain memory terms which explicitly indicate the presence of non-Markovian effects. An alternative stochastic formulation is also discussed.

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