Посилання:The relation between fractional statistics and finite bosonic systems in one-dimensional case / A. Rovenchak // Физика низких температур. — 2009. — Т. 35, № 5. — С. 510-513. — Бібліогр.: 32 назв. — англ.
Підтримка:I am grateful to my colleagues Prof. Volodymyr Tkachuk,
Dr. Taras Fityo, and Yuri Krynytskyi for useful discussions
and comments regarding the presented material.
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 statistics, in which the maximum occupation of single-particle energy levels is limited. The system of 1D harmonic oscillators is considered providing the model of harmonically trapped Bose-gas. The results are generalized for the system with power energy spectrum.