Journal of Physical Studies 2(1), 23–29 (1998)
DOI: https://doi.org/10.30970/jps.02.23

CYCLIC TRANSFORMATION OF PARTITION FUNCTION AND THE DISPLACEMENTS REPRESENTATION IN THE FERMI SYSTEMS THEORY

M. Vavrukh1, Ya. Kushtay2, V. Solovyan3
1Lviv State University, Chair of Astrophysics
8 Kyrylo i Mefodii Str., Lviv, UA-290005, Ukraine
2Lviv Commercial College, Lviv
8 Mentsinskyi Str., Lviv, UA-290000, Ukraine
3Institute for Condensed Matter Physics Ukrainian Academy of Sciences
1 Svientsitskyi Str., Lviv, UA-290011, Ukraine

It is proved that in the case of Fermi systems the representation of displacements is equal to some cyclic transformation of the partition function. It corresponds to the renormalized perturbation theory which is based on the taking into account of the correlation effects, particularly of the local-field ones. The results of the calculation of the ground state of the electron liquid model in the paramagnetic phase are presented for the coupling parameter region $10^{-2} \leq r_s \leq 10$.

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