Journal of Physical Studies 7(2), 195–206 (2003) DOI: https://doi.org/10.30970/jps.07.195 STATISTICAL THEORY OF THE SPACEBOUNDED SYSTEMS OF CHARGED FERMI-PARTICLES: I. THE FUNCTIONAL INTEGRATION METHOD AND EFFECTIVE POTENTIALS P. P. Kostrobii, B. M. Markovych National University ‟Lvivska Polytechnica" 12 S. Bandery Str., Lviv, UA–79013, Ukraine

A statistical theory of a system of charged Fermi-particles bounded with plane surface is presented. The theory is based on the functional integration method. The expressions for the system thermodynamic potential is based on the effective potential of interaction between electrons and the separable surface. Analytical expressions for the effective interaction potentials for different surface potentials are found.

PACS number(s): 71.45.Gm.

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