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Partial algebraization and a q-deformed harmonic oscillator

1999/08/13 by Abilio De Freitas, De Freitas, Abilio, Sebastian Salamo +2
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9908098

19 pages, Latex

openalex publication_date 1999/08/13 · arxiv created 1999/11/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

From the algebraic treatment of the quasi-solvable systems, and a q-deformation of the associated su(2) algebra, we obtain exact solutions for the q-deformed Schrodinger equation with a 3-dimensional q-deformed harmonic oscillator potential.

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