Cλ-extended harmonic oscillator and (para)supersymmetric quantum mechanics

C-extended oscillator algebras are realized as generalized deformed oscillator algebras. For λ = 3, the spectrum of the corresponding bosonic oscillator Hamiltonian is shown to strongly depend on the algebra parameters. A connection with cyclic shape invariant potentials is noted. A bosonization of PSSQM of order two is obtained. © 1998 Elsevier Science B.V.SCOPUS: ar.j