Algebraic calculations for spectrum of superintegrable system from exceptional orthogonal polynomials-Reference-Cited by-同舟云学术

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Algebraic calculations for spectrum of superintegrable system from exceptional orthogonal polynomials

Published:2018-04 Issue: Volume:391 Page:203-215
ISSN:0003-4916
Container-title:Annals of Physics
language:en
Short-container-title:Annals of Physics

Author:

Hoque Md. Fazlul,Marquette Ian,Post Sarah,Zhang Yao-Zhong

Funder

International Postgraduate Research Scholarship and Australian Postgraduate Award

Australian Research Council Discovery

National Natural Science Foundation of China

Simon’s Foundation

Publisher

Elsevier BV

Subject

General Physics and Astronomy

Reference66 articles.

1. Families of superintegrable Hamiltonians constructed from exceptional polynomials

2. New families of superintegrable systems from Hermite and Laguerre exceptional orthogonal polynomials

3. Two-step rational extensions of the harmonic oscillator: exceptional orthogonal polynomials and ladder operators

4. New ladder operators for a rational extension of the harmonic oscillator and superintegrability of some two-dimensional systems

5. Combined state-adding and state-deleting approaches to type III multi-step rationally extended potentials: Applications to ladder operators and superintegrability

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. An Algebraic Geometric Foundation for a Classification of Second-Order Superintegrable Systems in Arbitrary Dimension;The Journal of Geometric Analysis;2023-09-09

2. Algebraic approach and exact solutions of superintegrable systems in 2D Darboux spaces;Journal of Physics A: Mathematical and Theoretical;2023-08-07

3. Quadratic Algebra and Spectrum of Superintegrable System;Trends in Mathematics;2023

4. Polynomial algebras of superintegrable systems separating in Cartesian coordinates from higher order ladder operators;Physica D: Nonlinear Phenomena;2022-11

5. Convergence Rates of Exceptional Zeros of Exceptional Orthogonal Polynomials;Computational Methods and Function Theory;2022-08-08

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