No abstract

We present particle algebras whose representations correspond to states having at most p particles. For p = 1, the algebra corresponds to fermions. For p = 2, 3, 4, …, the algebra corresponds to the orthofermion algebra with a new interpretation.

Abstract:We present an algebra generated by a single pair of creation and annihilation operators and * . We prove that the algebra has a unique -dimensional representation. Physically this algebra corresponds to a system where there are at most − 1 particles in a state with otherwise same quantum numbers. PACS (