1994/07/13 by Jean DESBOIS, J. Desbois, Christine Heinemann +3
Mathematics · Physics and Astronomy · #Quantum chaos and dynamical systems #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat
paper · pdf · doi:10.1103/physrevd.51.942
11 pages + 1 figure upon request
arxiv created 1994/07/13 · openalex publication_date 1995/01/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
The computation of the N-cycle Brownian paths contribution FN(\ensuremathα) to the N-anyon partition function is addressed. A detailed numerical analysis based on a random walk on a lattice indicates that FN0(\ensuremathα)=\ensuremath∏k=1^N\mathrm\ensuremath-1[1-(N/k)\ensuremathα]. In the paramount three-anyon case, one can show that F3(\ensuremathα) is built by linear states belonging to the bosonic, fermionic, and mixed representations of S3.