Starting from independent sets of one-dimensional ''bosonic'' and ''fermionic'' operators, we build up both a ''bosonic'' and a ''fermionic'' even-dimensional realization of an operatorial deformation of the Heisenberg-Weyl algebra, recently introduced to describe particles with intermediate statistics (guons). It is shown that these two deformed algebras are connected by unitary transformation. Mixed realizations are also generated by a simple change of representation.

Defalco, L., Mignani, R. (1996). Bosonic and fermionic realizations of an operator-deformed Heisenberg-Weyl algebra. NUOVO CIMENTO DELLA SOCIETÀ ITALIANA DI FISICA. A, NUCLEI, PARTICLES AND FIELDS, 109(2), 195-199.

Bosonic and fermionic realizations of an operator-deformed Heisenberg-Weyl algebra

MIGNANI, ROBERTO
1996-01-01

Abstract

Starting from independent sets of one-dimensional ''bosonic'' and ''fermionic'' operators, we build up both a ''bosonic'' and a ''fermionic'' even-dimensional realization of an operatorial deformation of the Heisenberg-Weyl algebra, recently introduced to describe particles with intermediate statistics (guons). It is shown that these two deformed algebras are connected by unitary transformation. Mixed realizations are also generated by a simple change of representation.
Defalco, L., Mignani, R. (1996). Bosonic and fermionic realizations of an operator-deformed Heisenberg-Weyl algebra. NUOVO CIMENTO DELLA SOCIETÀ ITALIANA DI FISICA. A, NUCLEI, PARTICLES AND FIELDS, 109(2), 195-199.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/131597
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