We study a general q-deformed Heisenberg-Weyl algebra with complex deformation parameter. The q-boson realization of such an algebra is obtained by means of a complex generalization of the bosonization method. The real spectrum of the corresponding complex deformed oscillator is derived for two special cases of the q-commutation relations. The bosonic realization of the related SU(2) algebra is also briefly considered.
Defalco, L., Jannussis, A., Mignani, R., Sotiropoulou, A. (1994). Q-BOSON OSCILLATOR ALGEBRA WITH COMPLEX DEFORMATION PARAMETER. MODERN PHYSICS LETTERS A, 9(36), 3331-3337.
Q-BOSON OSCILLATOR ALGEBRA WITH COMPLEX DEFORMATION PARAMETER
MIGNANI, ROBERTO;
1994-01-01
Abstract
We study a general q-deformed Heisenberg-Weyl algebra with complex deformation parameter. The q-boson realization of such an algebra is obtained by means of a complex generalization of the bosonization method. The real spectrum of the corresponding complex deformed oscillator is derived for two special cases of the q-commutation relations. The bosonic realization of the related SU(2) algebra is also briefly considered.File in questo prodotto:
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