Superintegrability and higher-order constants for classical and quantum systems

We extend recent work by Tremblay, Turbiner, and Winternitz which analyzes an infinite family of solvable and integrable quantum systems in the plane, indexed by the positive parameter k . Key components of their analysis were to demonstrate that there are closed orbits in the corresponding classica...

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Veröffentlicht in:	Physics of atomic nuclei 2011-06, Vol.74 (6), p.914-918
Hauptverfasser:	Kalnins, E. G., Miller, W., Pogosyan, G. S.
Format:	Artikel
Sprache:	eng
Schlagworte:	CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS Elementary Particles and Fields INTEGRAL CALCULUS ORBITS Particle and Nuclear Physics Physics Physics and Astronomy POLYNOMIALS POTENTIALS QUANTUM MECHANICS QUANTUM OPERATORS SYMMETRY
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