Geodesic
Calculations of equilibrium properties of quantum systems using the expanded ensemble MC technique
Numerical methods and programming, Tome 9 (2008) no. 2, pp. 170-183

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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. 
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     author = {M. A. Voznesenskiy and P. N. Vorontsov-Velyaminov and A. P. Lyubartsev},
     title = {Calculations of equilibrium properties of quantum systems using the expanded ensemble {MC} technique},
     journal = {Numerical methods and programming},
     pages = {170--183},
     publisher = {mathdoc},
     volume = {9},
     number = {2},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2008_9_2_a3/}
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M. A. Voznesenskiy; P. N. Vorontsov-Velyaminov; A. P. Lyubartsev. Calculations of equilibrium properties of quantum systems using the expanded ensemble MC technique. Numerical methods and programming, Tome 9 (2008) no. 2, pp. 170-183. http://geodesic.mathdoc.fr/item/VMP_2008_9_2_a3/