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Phys. Rev. C 62, 024312 (2000) [7 pages]

Quonic expansion and its random-phase approximation counterpart

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S. S. Avancini, F. F. de Souza Cruz, J. R. Marinelli, and D. P. Menezes
Departamento de Física, CFM, Universidade Federal de Santa Catarina, CP. 476, CEP 88.040-900, Florianópolis, SC, Brazil

Received 23 February 2000; published 19 July 2000

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.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevC.62.024312
DOI:
10.1103/PhysRevC.62.024312
PACS:
21.60.Jz, 03.65.Fd, 21.10.-k