Quasi-Particles Hamiltonian

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The anyonic Hamiltonian is quantum mechanically given and the bosonic and the fermionic Hamiltonians are found as extremes by discussing the cases of the statistical parameter $ν$ and the dimension of space. The anyonic algebra \cite{upa} is recalled as a deformed Heisenberg algebra and a deformed $C_λ$-extended Heisenberg algebra.
7 pages, clarifications, references added, Presented in the XIIIth Oporto Meeting on Geometry, Topology And Physics, Oporto, Portugal (2004)

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