Quasi-Particles Hamiltonian

Abstract

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 $\nu$ and the dimension of space. The anyonic algebra \cite{upa} is recalled as a deformed Heisenberg algebra and a deformed $C_{\lambda }$-extended Heisenberg algebra.

7 pages, clarifications, references added, Presented in the XIIIth Oporto Meeting on Geometry, Topology And Physics, Oporto, Portugal (2004)