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arXiv · 1005.3839

Nonclassical phase-space trajectories for the damped harmonic quantum oscillator

Leonardo A. Pachon·Gert-Ludwig Ingold·Thomas Dittrich
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Abstract

The phase-space path-integral approach to the damped harmonic oscillator is analyzed beyond the Markovian approximation. It is found that pairs of nonclassical trajectories contribute to the path-integral representation of the Wigner propagating function. Due to the linearity of the problem, the sum coordinate of a pair still satisfies the classical equation of motion. Furthermore, it is shown that the broadening of the Wigner propagating function of the damped oscillator arises due to the time-nonlocal interaction mediated by the heat bath.

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Leonardo A. Pachon, Gert-Ludwig Ingold, Thomas Dittrich. 2010-05-20. Nonclassical phase-space trajectories for the damped harmonic quantum oscillator. https://doi.org/10.1016/j.chemphys.2010.05.024

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