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Regular version of the site

Article

Taking parastatistical corrections to the Bose-Einstein distribution into account in the quantum and classical cases

Theoretical and Mathematical Physics. 2012. Vol. 172. No. 3. P. 1289-1299.
We use number-theoretical methods to study the problem of particle Bose-condensation to zero energy. The parastatistical correction to the Bose-Einstein distribution establishes a relation between the quantum mechanical and statistical definitions of the Bose gas and permits correctly defining the condensation point as a gap in the spectrum in the one-dimensional case, proving the existence of the Bose condensate in the two-dimensional case, and treating the negative pressure in the classical theory of liquids as the pressure of nanopores (holes).