Fourth-order superintegrable systems separating in polar coordinates. II. Standard potentials

Superintegrable Hamiltonian systems in a two-dimensional Euclidean space are considered. We present all real standard potentials that allow separation of variables in polar coordinates and admit an independent fourth-order integral of motion. The general form of the potentials satisfies a linear ODE...

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Veröffentlicht in:	Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2018-11, Vol.51 (45), p.455202
Hauptverfasser:	Escobar-Ruiz, Adrian M, Vieyra, J C López, Winternitz, P, Yurdu en
Format:	Artikel
Sprache:	eng
Schlagworte:	higher order integrals of motion separation of variables standard potentials superintegrability
Online-Zugang:	Volltext
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