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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