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arXiv · 0801.1413

Fractional statistics and finite bosonic system: A one-dimensional case

Andrij Rovenchak
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Abstract

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.

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Andrij Rovenchak. 2008-01-09. Fractional statistics and finite bosonic system: A one-dimensional case. https://doi.org/10.1063/1.3132748

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