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: http://num-meth.srcc.msu.ru/english/zhurnal/tom_2009/v10r124.html
Дата изменения: Mon May 18 14:24:50 2009 Дата индексирования: Mon Oct 1 22:44:52 2012 Кодировка: |
"Stochastic positive P-representation in problems of quantum statistics.
Simulation of one-dimensional Bose-gas with delta-repulsion" Polyakov E.A., Vorontsov-Velyaminov P.N., Lyubartsev A.P. |
A method of stochastic positive P-representation for the computer simulation of thermal equilibrium and dynamical properties of many-particle quantum systems with interactions is proposed and thoroughly analyzed. The testing procedure of the method includes the evaluation of spatial correlation functions for the one-dimensional Bose-gas with delta-repulsion between particles, both in the state of thermal equilibrium and in the dynamical evolution from a given initial state. This work was supported by the Russian Foundation for Basic Research (project number 080200041) and by the Royal Swedish Academy of Sciences. Keywords: quantum dynamics, stochastic differential equations, Bose-gas, correlation functions
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Polyakov E.A.
e-mail: E.A.Polyakov@gmail.com;
Vorontsov-Velyaminov P.N.
e-mail: voron.wgroup@pobox.spbu.ru; Lyubartsev A.P. e-mail: sasha@physc.su.se |