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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
