2003/10/09 by A. N. F. Aleixo, A N F Aleixo, A. B. Balantekin +3 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Non-Hermitian Physics #math-ph #math.MP #msc:58D30 #nucl-th
paper · pdf · doi:10.1088/0305-4470/36/46/007
published as J.Phys.A36:11631-11642,2003
arxiv created 2003/10/09 · openalex publication_date 2003/11/04 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
A quantum deformed theory applicable to all shape-invariant bound-state systems is introduced by defining q -deformed ladder operators. We show that these new ladder operators satisfy new q -deformed commutation relations. In this context we construct an alternative q -deformed model that preserves the shape-invariance property presented by the primary system. q -deformed generalizations of Morse, Scarf and Coulomb potentials are given as examples.