Physics – Quantum Physics
Scientific paper
2003-09-21
J. Phys. A: Math. Gen. 2004, Vol.37 P.9841-9860
Physics
Quantum Physics
22 pages, 7 Postscript figures, accepted for publication in Journal of Physics A
Scientific paper
10.1088/0305-4470/37/42/001
Operator method and cumulant expansion are used for nonperturbative calculation of the partition function and the free energy in quantum statistics. It is shown for Boltzmann diatomic molecular gas with some model intermolecular potentials that the zeroth order approximation of the proposed method interpolates the thermodynamic values with rather good accuracy in the entire range of both the Hamiltonian parameters and temperature. The systematic procedure for calculation of the corrections to the zeroth order approximation is also considered.
Feranchuk Ilya D.
Ivanov Anatoly A.
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