Fractional statistics in terms of the r-generalized Fibonacci sequences

被引：3
|
作者：
Rachidi, M
Saidi, EH
Zerouaoui, J
机构：
[1] Fac Sci Rabat, Lab UFR Phys Hautes Energies, Rabat, Morocco
[2] Fac Sci Rabat, Dept Math & Informat, Rabat, Morocco
[3] Abdus Salam Int Ctr Theoret Phys, I-34100 Trieste, Italy
来源：
INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2003年 / 18卷 / 01期
关键词：
generalized spin; quasiparticles; Pauli exclusion principle; generalized r-Fibonacci sequences;
D O I：
10.1142/S0217751X03012394
中图分类号：
O57 [原子核物理学、高能物理学];
学科分类号：
070202 ;
摘要：
We develop a method to approach quantum gases of quasiparticles with generalized statistics. This way is based on Fibonacci hierarchies and offers an alternative issue to the Haldane-Wu method. We give the statistical weights densities pm of gases of quasiparticles with s = 1/M : mod(1), M greater than or equal to 2, using the combinatorial aspects of M-generalized Fibonacci series. This is a remarkable feature which envelopes naturally the Fermi and Bose statistics.
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页码：159 / 171
页数：13
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