Based on the formalism of the Z(k)-graded deformed oscillator algebra, we systematically construct, within the framework of supersymmetric quantum mechanics, general algebraic properties of four known classes of shape invariant potentials that are extended from the ordinary one step in the literature to arbitrary k steps.
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Univ Salento, Dipartimento Matemat & Fis E De Giorgi, Via Arnesano, I-73100 Lecce, ItalyUniv Salento, Dipartimento Matemat & Fis E De Giorgi, Via Arnesano, I-73100 Lecce, Italy
Frittelli, Massimo
Madzvamuse, Anotida
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Univ Sussex, Dept Math, Sch Math & Phys Sci, Brighton BN1 9QH, E Sussex, EnglandUniv Salento, Dipartimento Matemat & Fis E De Giorgi, Via Arnesano, I-73100 Lecce, Italy
Madzvamuse, Anotida
Sgura, Ivonne
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Univ Salento, Dipartimento Matemat & Fis E De Giorgi, Via Arnesano, I-73100 Lecce, ItalyUniv Salento, Dipartimento Matemat & Fis E De Giorgi, Via Arnesano, I-73100 Lecce, Italy
Sgura, Ivonne
Venkataraman, Chandrasekhar
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Univ St Andrews, Sch Math & Stat, St Andrews KY16 9SS, Fife, ScotlandUniv Salento, Dipartimento Matemat & Fis E De Giorgi, Via Arnesano, I-73100 Lecce, Italy