Ladder Operators and Hidden Algebras for Shape Invariant Nonseparable and Nondiagonalizable Modelswith Quadratic Complex Interaction. I. Two-Dimensional Model

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2022
• Main Authors: Marquette, Ian, Quesne, Christiane
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2022
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211541
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Ladder Operators and Hidden Algebras for Shape Invariant Nonseparable and Nondiagonalizable Modelswith Quadratic Complex Interaction. I. Two-Dimensional Model. Ian Marquette and Christiane Quesne. SIGMA 18 (2022), 004, 11 pages

A shape-invariant, nonseparable, and nondiagonalizable two-dimensional model with quadratic complex interaction, first studied by Cannata, Ioffe, and Nishnianidze, is re-examined to reveal its hidden algebraic structure. The two operators ⁺ and ⁻, coming from the shape invariant supersymmetrical app...