ABSTRACT The usefulness of the quon expansion to treat Pauli principle violations and many-body c... more ABSTRACT 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.
ABSTRACT We apply the nonperturbative optimized linear delta expansion method to the O(N) scalar ... more ABSTRACT We apply the nonperturbative optimized linear delta expansion method to the O(N) scalar field model in three-dimensions to determine the transition temperature of a dilute homogeneous Bose gas.
ABSTRACT The usefulness of the quon expansion to treat Pauli principle violations and many-body c... more ABSTRACT 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.
ABSTRACT We apply the nonperturbative optimized linear delta expansion method to the O(N) scalar ... more ABSTRACT We apply the nonperturbative optimized linear delta expansion method to the O(N) scalar field model in three-dimensions to determine the transition temperature of a dilute homogeneous Bose gas.
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