2001/02/04 by Jian-zu Zhang, J.-z. Zhang, P. Osland +1 · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #hep-th
paper · pdf · doi:10.1007/s100520100649
published as Eur.Phys.J.C20:393-396,2001 · 10 pages, LaTeX, including 1 figure
arxiv created 2001/02/04 · openalex publication_date 2001/04/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Within the framework of the q-deformed Heisenberg algebra a dynamical equation of q-deformed quantum mechanics is discussed. The perturbative aspects of the q-deformed Schrödinger equation are analyzed. General representations of the additional momentum-dependent interaction originating from the q-deformed effects are presented in two approaches. As examples, such additional interactions related to the harmonic-oscillator potential and the Morse potential are demonstrated.