Unified supersymmetric transformations for the harmonic oscillator and its rational extension

DOI10.1088/1361-6404/ab5f90OpenAlexW2991701577MaRDI QIDQ5889440

Unnamed Author, Géza Lévai

Publication date: 20 April 2023

Published in: European Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6404/ab5f90

zbMATH Keywords

supersymmetric quantum mechanicsexceptional orthogonal polynomialsexactly solvable potentials

Mathematics Subject Classification ID

Special functions (33-XX) Quantum theory (81-XX)

Cites Work

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• Dynamical breaking of supersymmetry
• An extension of Bochner's problem: exceptional invariant subspaces
• General properties of potentials for which the Schrödinger equation can be solved by means of hypergeometric functions
• Conditionally exactly solvable potentials and supersymmetric transformations
• Solutions of the bi-confluent Heun equation in terms of the Hermite functions
• An extended class of orthogonal polynomials defined by a Sturm-Liouville problem
• Potentials of the Heun class
• Exceptional orthogonal polynomials and the Darboux transformation
• Exceptional orthogonal polynomials, exactly solvable potentials and supersymmetry
• Practical Quantum Mechanics II
• Infinite families of (non)-Hermitian Hamiltonians associated with exceptionalX_mJacobi polynomials
• The Factorization Method

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