The relation between fractional statistics and finite bosonic systems in one-dimensional case

• Published in: Физика низких температур
• Date: 2009
• Main Author: Rovenchak, A.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2009
• Subjects: Низкоразмерные и неупорядоченные системы
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/117141
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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...