An Algebraic q-Deformed Form for Shape-Invariant Systems

نویسندگان

  • A. N. F. Aleixo
  • A. B. Balantekin
  • M. A. Cândido Ribeiro
چکیده

A quantum deformed theory applicable to all shape-invariant bound-state systems is introduced by defining q-deformed ladder operators. We show these new ladder operators satisfy new q-deformed commutation relations. In this context we construct an alternative q-deformed model that preserve the shapeinvariance property presented by primary system. q-deformed generalizations of Morse, Scarf, and Coulomb potentials are given as examples. Typeset using REVTEX ∗Electronic address: [email protected] †Electronic address: [email protected] ‡Deceased 1

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تاریخ انتشار 2008