Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2003-09-23
Phys. Rev. E 67, 026707 (2003)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
11 pages, 3 figures
Scientific paper
10.1103/PhysRevE.67.026707
We demonstrate a new method of simulation of nonstationary quantum processes, considering the tunneling of two {\it interacting identical particles}, represented by wave packets. The used method of quantum molecular dynamics (WMD) is based on the Wigner representation of quantum mechanics. In the context of this method ensembles of classical trajectories are used to solve quantum Wigner-Liouville equation. These classical trajectories obey Hamilton-like equations, where the effective potential consists of the usual classical term and the quantum term, which depends on the Wigner function and its derivatives. The quantum term is calculated using local distribution of trajectories in phase space, therefore classical trajectories are not independent, contrary to classical molecular dynamics. The developed WMD method takes into account the influence of exchange and interaction between particles. The role of direct and exchange interactions in tunneling is analyzed. The tunneling times for interacting particles are calculated.
Arkhipov A. S.
Filinov A. V.
Lozovik Yu. E.
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