θ Statistics and Quantum Group |
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| Authors: | Yi-Xin CHEN Guang-Jiong NI |
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| Institution: | 1. Department of Physics, Fudan University, Shanghai 200433, China;
2. Zhejiang Institute of Modern Physics, Zhejiang University, Hanzhou 310027, China;
3. Theoretical Physics Division, Nankai Institute of Mathematics, Tianjin 300071, China |
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| Abstract: | General theory of quantum statistics with internal degree of freedom in two dimensions is studied. Because of the topological nontrivial properties in the configuration space of indistinguishable particles, the intrinsic part of many-body wave function is associated with the representation of quantum group, which describes θ statistics. The statistical potential and the effective Hamiltonian of general two-dimensional system can be derived from the Kohno connection. |
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