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Construction of the exceptional orthogonal polynomials and its application to the superintegrable system (The breadth and depth of nonlinear discrete integrable systems)

机译：异常正交多项式的构造及其在超积分系统中的应用（非线性离散积分系统的广度和深度）

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TSUJIMOTO Satoshi;
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年度 2013
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正文语种 eng
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1. New families of superintegrable systems from Hermite and Laguerre exceptional orthogonal polynomials [J] . Marquette I., Quesne C. Journal of Mathematical Physics . 2013,第4期

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2. Algebraic calculations for spectrum of superintegrable system from exceptional orthogonal polynomials [J] . Hogue Md. Fazlul, Marquette Ian, Post Sarah, Annals of Physics . 2018,第期

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3. Infinitely many shape invariant discrete quantum mechanical systems and new exceptional orthogonal polynomials related to the Wilson and Askey–Wilson polynomials [J] . Satoru Odake, Ryu Sasaki Physics Letters, B. Nuclear Physics and High Energy Physics . 2009,第1期

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4. Time-domain simulation of sampled weakly nonlinear systems using analytical integration and orthogonal polynomial series mixed-signal IC applications [C] . Martens, E., Gielen, . 2004

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6. Statistics of work and orthogonality catastrophe in discrete level systems: an application to fullerene molecules and ultra-cold trapped Fermi gases [O] . Antonello Sindona, Michele Pisarra, Mario Gravina, 2015

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7. The Laurent Phenomenon and Discrete Integrable Systems (The breadth and depth of nonlinear discrete integrable systems) [O] . MASE Takafumi 2013

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8. On discrete control of nonlinear systems with applications to robotics [R] . Eslami, Mansour 1989

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Construction of the exceptional orthogonal polynomials and its application to the superintegrable system (The breadth and depth of nonlinear discrete integrable systems)

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