Superintegrable systems

expositions

Heinonen, R., E. G. Kalnins, Jr Miller, and E. Subag. “Structure Relations and Darboux Contractions for 2D 2nd Order Superintegrable Systems.” arXiv:1502.00128 [math-Ph], January 31, 2015. http://arxiv.org/abs/1502.00128.
Hoque, Md Fazlul, Ian Marquette, and Yao-Zhong Zhang. “Quadratic Algebra Structure and Spectrum of a New Superintegrable System in N-Dimension.” arXiv:1410.3550 [math-Ph], October 13, 2014. http://arxiv.org/abs/1410.3550.
Miller Jr, Willard, and Qiushi Li. ‘Wilson Polynomials/functions and Intertwining Operators for the Generic Quantum Superintegrable System on the 2-Sphere’. arXiv:1411.2112 [math-Ph], 8 November 2014. http://arxiv.org/abs/1411.2112.
Daskaloyannis, C. ‘Generalized Deformed Oscillator and Nonlinear Algebras’. Journal of Physics A: Mathematical and General 24, no. 15 (7 August 1991): L789. doi:10.1088/0305-4470/24/15/001.
Daskaloyannis, C. ‘Quadratic Poisson Algebras of Two-Dimensional Classical Superintegrable Systems and Quadratic Associative Algebras of Quantum Superintegrable Systems’. Journal of Mathematical Physics 42, no. 3 (1 March 2001): 1100–1119. doi:10.1063/1.1348026.