EXACT DYSON EXPANSION FOR A SINGLE J-SHELL WITHIN THE QUON ALGEBRA

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