Cλ-extended harmonic oscillator and (para)supersymmetric quantum mechanics
C. Quesne, N. Vansteenkiste
Abstract
Cλ-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.
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