Condensed Matter Physics, 2006, vol. 9, No. 2(46), p. 351-358, English
DOI:10.5488/CMP.9.2.351

Title: Adaptive kernel methods to simulate quantum phase space flow
Author(s):
  H.López (Laboratorio de Física Estadística de Sistemas Desordenados, Centro de Física, Instituto Venezolano de Investigaciones Científicas, IVIC, Apartado 21827, Caracas 1020A, Venezuela) ,
  A.Donoso (Laboratorio de Física Estadística de Sistemas Desordenados, Centro de Física, Instituto Venezolano de Investigaciones Científicas, IVIC, Apartado 21827, Caracas 1020A, Venezuela)

A technique for simulating quantum dynamics in phase space is discussed. It makes use of ensembles of classical trajectories to approximate the distribution functions and their derivatives by implementing Adaptive Kernel Density Estimation. It is found to improve the accuracy and stability of the simulations compared to more conventional particle methods. Formulation of the method in higher dimensions is straightforward.

Key words: particle methods, quantum phase space dynamics, adaptive density estimation
PACS: 02.70.Ns, 34.10.+x, 03.65.Xp


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