Statistics of the Composite Systems

Details Statistics of the Composite Systems Statistics of the Composite Systems

2001-05-17

arxiv.org/abs/hep-th/0105162v5

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, revised June 28

Scientific paper

The commutation relations of the composite fields are studied in the 3, 2 and 1 space dimensions. It is shown that the field of an atom consisting of a nucleus and an electron fields satisfies, in the space-like asymptotic limit, the canonical commutation relations within the sub-Fock-space of the atom. The composite anyon fields are shown to satisfy the proper anyonic commutation relations with the additive phase exponents. Then, (quasi)particle pictures of the anyons are clarified. The hierarchy of the fractional quantum Hall effect is rather simply nderstood by utilizing the (quasi)particle charactors of the anyons. The commutation relations of the scalar object in the Schwinger(Thirring) model are mentioned briefly.

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