Результаты исследований: Научные публикации в периодических изданиях › статья
Calculation of Canonical Properties and Excited States by Path Integral Numerical Methods. / Vorontsov-Velyaminov, P.N.; Voznesenskiy, M.A.; Polyakov, E.A.; Lyubartsev, A.P.
в: Contributions to Plasma Physics, Том 51, № 4, 2011, стр. 382–385.Результаты исследований: Научные публикации в периодических изданиях › статья
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TY - JOUR
T1 - Calculation of Canonical Properties and Excited States by Path Integral Numerical Methods
AU - Vorontsov-Velyaminov, P.N.
AU - Voznesenskiy, M.A.
AU - Polyakov, E.A.
AU - Lyubartsev, A.P.
PY - 2011
Y1 - 2011
N2 - Path integral Monte Carlo method in the expanded ensemble is used for calculation of the ratio of partition functions for different classes of permutations treating the problem of several interacting identical particles (fermions) in an external field. Wang-Landau algorithm is used for adjustment of balancing factors. For systems consisting of greater than two number of particles we propose an advanced variant of our approach which implies calculation of the ratio of positive and negative contributions to the partition function. Densities and energies of the sequence of excited states starting from the ground state for a system of non interacting quantum particles are calculated in turn, one by one, by means of considering systems with artificially excluded lowest energy levels and further obtaining of the ”ground state” of each next system constructed in this way. The idea of evaluation of densities of excited states for a quantum system with interparticle interaction by evaluating density difference betwee
AB - Path integral Monte Carlo method in the expanded ensemble is used for calculation of the ratio of partition functions for different classes of permutations treating the problem of several interacting identical particles (fermions) in an external field. Wang-Landau algorithm is used for adjustment of balancing factors. For systems consisting of greater than two number of particles we propose an advanced variant of our approach which implies calculation of the ratio of positive and negative contributions to the partition function. Densities and energies of the sequence of excited states starting from the ground state for a system of non interacting quantum particles are calculated in turn, one by one, by means of considering systems with artificially excluded lowest energy levels and further obtaining of the ”ground state” of each next system constructed in this way. The idea of evaluation of densities of excited states for a quantum system with interparticle interaction by evaluating density difference betwee
KW - Quantum statistics
KW - Monte Carlo
KW - path-integral
KW - expanded ensembles
KW - Wang-Landau algorithm
U2 - DOI: 10.1002/ctpp.201010112
DO - DOI: 10.1002/ctpp.201010112
M3 - Article
VL - 51
SP - 382
EP - 385
JO - Contributions to Plasma Physics
JF - Contributions to Plasma Physics
SN - 0863-1042
IS - 4
ER -
ID: 5186637