26 citations · 209 across the 29 of their papers we have counts for
4 papers · 1 filter
Statistical mechanics approach in the counting of integer partitions
Andrij Rovenchak
The treatment of the number-theoretical problem of integer partitions within the approach of statistical mechanics is discussed. Historical overview is given and known asymptotic r…
Enumeration of plane partitions with a restricted number of parts
Andrij Rovenchak
In the paper, the quantum-statistical approach is used to estimate the number of restricted plane partitions of an integer with the number of parts not exceeding some finite $N…
Fractional statistics and finite bosonic system: A one-dimensional case
Andrij Rovenchak
The equivalence is established between the one-dimensional (1D) Bose-system with a finite number of particles and the system obeying the fractional (intermediate) Gentile statistic…
Weakly-Interacting Bosons in a Trap within Approximate Second Quantization Approach
Andrij Rovenchak
The theory of Bogoliubov is generalized for the case of a weakly-interacting Bose-gas in harmonic trap. A set of nonlinear matrix equations is obtained to make the diagonalization…