Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Physics G Nuclear and Particle Physics

Boson mapping for a singlej-shell within the quon statistics

Sidney S. Avancini, José Ricardo Marinelli, Débora Peres Menezes

Published Sep 1, 1999• 7 citations
Publisher

Abstract

The quon algebra, which interpolates between the Bose and Fermi algebras and depends on a free parameter q , is used to generate a Marumori mapping of the quadrupole-quadrupole Hamiltonian, for a single j -shell. This Hamiltonian is then diagonalized for a system composed of six fermions and its eigenvalues are compared with the ones obtained from the counterpart fermionic Hamiltonian and with another usual boson expansion method. The deformed mapping is shown to require a larger basis than the usual Marumori method for the diagonalization of the Hamiltonian. The low-lying levels of the spectrum obtained from the fermionic calculation in the SD subspace can be reproduced with our mapping for some selected j -shells.

DOI
10.1088/0954-3899/25/9/306

Related papers

Marumori expansion for a singlej-shell within the quon algebra

Sidney S. Avancini, F. Cruz, José Ricardo Marinelli +2 more

The quon algebra, which interpolates between the Bose and Fermi algebras and depends on a free parameter q , is used to generate deformed Marumori boson expansions for the pair and quadrupole operators. Then we obtain a pairing plus quadrupole-quadrupole Hamiltonian, for a single j -shell, in terms of these deformed bosonic operators. The Hamiltonian is diagonalized and its eigenvalues are compared with the ones obtained from the counterpart fermionic Hamiltonian. The deformation parameter helps in achieving the correct energy levels, which cannot be encountered in practice with the usual non-deformed boson expansion.

Journal of Physics G Nuclear and Particle Physics•Jan 1, 1999•9 citations

Exact Dyson Expansion for a Single J-Shell Within the Quon Algebra

Sidney S. Avancini, José Ricardo Marinelli, Débora Peres Menezes +2 more

The quon algebra, which interpolates between the Bose and Fermi algebras and depends on a free paramenter q, is used to generate a deformed Dyson boson expansion of the quadrupole operator. Then we obtain a quadrupole-quadrupole hamiltonian, for a single j-shell, in terms of this deformed bosonic operator. The hamiltonian is diagonalized and its eigenvalues are compared with the ones obtained from the fermionic quadrupole-quadrupole hamiltonian. The deformation parameter helps in achieving the correct excitation energy levels, what cannot be encountered in practice with the usual non-deformed Dyson expansion.

International Journal of Modern Physics E•Jun 1, 1998•4 citations

Exact Q-Deformed Dyson Expansion for the Nuclear J=5/2 Shell

Sidney S. Avancini, José Ricardo Marinelli, Débora Peres Menezes +2 more

The quon algebra, which interpolates between the Bose and Fermi algebras and depends on a free paramenter $q$, is used to generate a deformed Dyson boson expansion of the quadrupole operator. Then we obtain a quadrupole-quadrupole hamiltonian, for a single j-shell, in terms of this deformed bosonic operator. The hamiltonian is diagonalized and its eigenvalues are compared with the ones obtained from the fermionic quadrupole-quadrupole hamiltonian. The deformation parameter helps in achieving the correct energy levels, what cannot be encountered in practice with the usual non-deformed Dyson expansion.

arXiv:nucl-th/9701061•Jan 29, 1997•0 citations

q-deformed boson expansions

S S Avancini, F F de Souza Cruz, J R Marinelli +2 more

A deformed boson mapping of the Marumori type is derived for an underlying su(2) algebra. As an example, we bosonize a pairing Hamiltonian in a two level space, for which an exact treatment is possible. Comparisons are then made between the exact result, our q-deformed boson expansion and the usual non-deformed expansion.

arXiv:nucl-th/9604006•Journal of Physics A Mathematical and General•Sep 7, 1996•6 citations

QUONS AS su(2) IRREDUCIBLE TENSOR OPERATORS

We prove that, for the quon algebra, which interpolates between the Bose and Fermi statistics and depends on a free parameter q,it is possible to build an su(2) irreducible representation. One of the consequences of this fact is that the quons couple via the same angular momentum coupling rules obeyed by ordinary bosons and fermions. 1 1

•Jan 1, 1999•0 citations

Quonic expansion and its random-phase approximation counterpart

Sidney S. Avancini, F. Cruz, José Ricardo Marinelli +1 more

The usefulness of the quon expansion to treat Pauli principle violations and many-body correlations in many-fermion systems is investigated within two models, namely, the Lipkin and the two level pairing models. The q deformation parameter of the quon algebra is fixed through a dynamical criterion. The spectra obtained are compared with the random-phase approximation (RPA), usual boson expansion, and exact results. The quonic expansion is shown to take into account correlations which are not included either in the second order boson expansion or in the RPA approach.

Physical Review C•Jul 19, 2000•3 citations
The quon algebra, which interpolates between the Bose and Fermi algebras and depends on a free parameter q , is used to generate a Marumori mapping of the quadrupole-quadrupole Hamiltonian, for a single j -shell. This Hamiltonian is then diagonalized for a system composed of six fermions and its eigenvalues are compared with the ones obtained from the counterpart fermionic Hamiltonian and with another usual boson expansion method. The deformed mapping is shown to require a larger basis than the usual Marumori method for the diagonalization of the Hamiltonian. The low-lying levels of the spectrum obtained from the fermionic calculation in the SD subspace can be reproduced with our mapping for some selected j -shells.
The quon algebra, which interpolates between the Bose and Fermi algebras and depends on a free parameter q , is used to generate deformed Marumori boson expansions for the pair and quadrupole operators. Then we obtain a pairing plus quadrupole-quadrupole Hamiltonian, for a single j -shell, in terms of these deformed bosonic operators. The Hamiltonian is diagonalized and its eigenvalues are compared with the ones obtained from the counterpart fermionic Hamiltonian. The deformation parameter helps in achieving the correct energy levels, which cannot be encountered in practice with the usual non-deformed boson expansion.
The quon algebra, which interpolates between the Bose and Fermi algebras and depends on a free paramenter q, is used to generate a deformed Dyson boson expansion of the quadrupole operator. Then we obtain a quadrupole-quadrupole hamiltonian, for a single j-shell, in terms of this deformed bosonic operator. The hamiltonian is diagonalized and its eigenvalues are compared with the ones obtained from the fermionic quadrupole-quadrupole hamiltonian. The deformation parameter helps in achieving the correct excitation energy levels, what cannot be encountered in practice with the usual non-deformed Dyson expansion.
The quon algebra, which interpolates between the Bose and Fermi algebras and depends on a free paramenter qqq, is used to generate a deformed Dyson boson expansion of the quadrupole operator. Then we obtain a quadrupole-quadrupole hamiltonian, for a single j-shell, in terms of this deformed bosonic operator. The hamiltonian is diagonalized and its eigenvalues are compared with the ones obtained from the fermionic quadrupole-quadrupole hamiltonian. The deformation parameter helps in achieving the correct energy levels, what cannot be encountered in practice with the usual non-deformed Dyson expansion.
The usefulness of the quon expansion to treat Pauli principle violations and many-body correlations in many-fermion systems is investigated within two models, namely, the Lipkin and the two level pairing models. The q deformation parameter of the quon algebra is fixed through a dynamical criterion. The spectra obtained are compared with the random-phase approximation (RPA), usual boson expansion, and exact results. The quonic expansion is shown to take into account correlations which are not included either in the second order boson expansion or in the RPA approach.