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Yu.M. POLUEKTOV and O.O. SOROKA

Quantum Distribution Functions in Systems with an Arbitrary Number of Particles

1–12 (2025)

PACS numbers: 02.30.Gp, 05.30.Ch, 05.30.Fk, 05.30.Jp, 64.60.an, 71.10.Ca, 73.21.La

Expressions for the entropy and equations for the quantum distribution functions for systems of non-interacting fermions and bosons with an arbitrary, including small, number of particles are obtained.

KEY WORDS: fermions, bosons, distribution function, entropy, quantum dot, factorial, gamma function, Bose–Einstein condensation

DOI:  https://doi.org/10.15407/nnn.23.01.0001

REFERENCES
  1. L. D. Landau and E. M. Lifshitz, Statistical Physics. Part 1. Volume 5 of Course of Theoretical Physics (Oxford: Elsevier–Butterworth-Heinemann: 1980).
  2. Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables (Eds. M. Abramowitz and I. A. Stegun). Nat’l Bureau of Standards. Appl. Math. Ser. Vol. 55 (Washington, D.C.: U.S. Govt. Printing Office: 1964).
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