Occurrence of pairwise energy level degeneracies in q,p-oscillator model

الأصل · EN

It is demonstrated that a two-parameter deformed oscillator with the deformation parameters q,p such that 0 < q,p ≤ 1 exhibits the property of "accidental" two-fold (pairwise) energy level degeneracy of the classes Eₘ=Eₘ₊₁ and E₀=Eₘ. The most general case of degeneracy of q,p-oscillators of the form Eₘ₊ₖ=Eₘ (with k≥ 1 for m≥ 1 or k≥ 2 for m=0) is briefly discussed.