Quantum theory for a special kind of hard-core particles with intermediate statistics |
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Authors: | Z.D. Wang Jian-Xin Zhu D.Y. Xing Yun Wang |
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Affiliation: | 1. Department of Physics, University of Hong Kong, Pokfulam Road, Hong Kong
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Abstract: | Starting from a specific definition of fractional statistics for hard-core particles, we find a set of intermediate statistics systems, in which a single-particle quantum state can be effectively occupied by an integer number of identical particles — M-ons, as in the case for fermions and bosons. A quantum statistical theory of an ideal M-on gas is formulated exactly, and the associated distribution is explicitly represented in a simple analytical form. A possible application to the fractional quantum Hall effect is also briefly discussed. |
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