MAPPING OF NON-CENTRAL POTENTIALS UNDER POINT CANONICAL TRANSFORMATIONS

2002/10/20 by Mehmet Kocak, M. KOCAK, Ilker Zorba +3 · 2 citations
Mathematics · Physics and Astronomy · #Mathematical functions and polynomials #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1142/s0217732302008125

published as Mod. Phys. Lett. A, Vol. 17, No. 32 (2002) pp. 2127-2135 · 11 pages article in LaTEX (uses standard article.sty). Please check http://www1.gantep.edu.tr/~gonul for other studies of Nuclear Physics Group at University of Gaziantep

openalex publication_date 2002/10/20 · arxiv created 2002/11/20 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Motivated by the observation that all known exactly solvable shape invariant central potentials are inter-related via point canonical transformations, we develop an algebraic framework to show that a similar mapping procedure also exists between a class of non-central potentials. As an illustrative example, we discuss the inter-relation between the generalized Coulomb and oscillator systems.

Citations

• Significance of Electromagnetic Potentials in the Quantum Theory
• Supersymmetry and Quantum Mechanics

Cited by

• Fractional supersymmetry and hierarchy of shape invariant potentials
• PT-Symmetric Solutions of Schrödinger Equation with Position-Dependent Mass via Point Canonical Transformation