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Numerical methods and programming, 2008, Volume 9, Issue 2, Pages 170–183 (Mi vmp431)  
Вычислительные методы и приложения

Calculations of equilibrium properties of quantum systems using the expanded ensemble MC technique

M. A. Voznesenskiya, P. N. Vorontsov-Velyaminova, A. P. Lyubartsevb

a Saint Petersburg State University
b Stockholm University
Full-text PDF (600 kB)
Abstract: The expanded ensemble Monte-Carlo method with the Wang-Landau algorithm is used to calculate the ratio of partition functions for each class of permuations in the problem of several interacting particles (fermions) in an external field. The complete partition function and the average energy for a system of indentical particles is obtained at finite temperatures down to their low values.
Keywords: Monte Carlo method, quantum statistics, path integral, density matrix.
Document Type: Article
UDC: 51-72; 519.245; 539.182
Language: Russian
Citation: M. A. Voznesenskiy, P. N. Vorontsov-Velyaminov, A. P. Lyubartsev, “Calculations of equilibrium properties of quantum systems using the expanded ensemble MC technique”, Num. Meth. Prog., 9:2 (2008), 170–183
Citation in format AMSBIB
\Bibitem{VozVorLyu08}
\by M.~A.~Voznesenskiy, P.~N.~Vorontsov-Velyaminov, A.~P.~Lyubartsev
\paper Calculations of equilibrium properties of quantum systems using the expanded ensemble MC technique
\jour Num. Meth. Prog.
\yr 2008
\vol 9
\issue 2
\pages 170--183
\mathnet{http://mi.mathnet.ru/vmp431}
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