Superintegrable systems

related items

• Quadatic algebras

expositions

• Miller Jr., Willard, Sarah Post, and Pavel Winternitz. ‘Classical and Quantum Superintegrability with Applications’. arXiv:1309.2694 [math-Ph, Physics:nlin], 10 September 2013. http://arxiv.org/abs/1309.2694.

articles

• Miller Jr., Willard, Qiushi Li, Yuxuan Chen, and Ernie G. Kalnins. ‘Examples of Complete Solvability of 2D Classical Superintegrable Systems’. arXiv:1505.00527 [math-Ph], 4 May 2015. http://arxiv.org/abs/1505.00527.
• Hoque, Md Fazlul, Ian Marquette, and Yao-Zhong Zhang. ‘A New Family of $N$ Dimensional Superintegrable Double Singular Oscillators and Quadratic Algebra $Q(3)\oplus So(n) \oplus so(N-N)$’. arXiv:1504.04910 [math-Ph], 19 April 2015. http://arxiv.org/abs/1504.04910.
• 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. ‘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.
• 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.