Completeness of superintegrability in two-dimensional constant curvature spaces

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dc.creatorKalnins, E. G.
dc.creatorKress, J. M.
dc.creatorPogosyan, G. S.
dc.creatorMiller Jr, W.
dc.date2001-02-07
dc.date.accessioned2026-07-07T04:28:17Z
dc.date.available2026-07-07T04:28:17Z
dc.descriptionWe classify the Hamiltonians $H=p_x^2+p_y^2+V(x,y)$ of all classical superintegrable systems in two dimensional complex Euclidean space with second-order constants of the motion. We similarly classify the superintegrable Hamiltonians $H=J_1^2+J_2^2+J_3^2+V(x,y,z)$ on the complex 2-sphere where $x^2+y^2+z^2=1$. This is achieved in all generality using properties of the complex Euclidean group and the complex orthogonal group.
dc.description23 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math-ph/0102006
dc.identifierhttp://arxiv.org/abs/math-ph/0102006
dc.identifierJ. Phys. A: Math. Gen. 34 (2001) 4705-4720
dc.identifierdoi:10.1088/0305-4470/34/22/311
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56731
dc.subjectMathematical Physics
dc.subjectQuantum Physics
dc.titleCompleteness of superintegrability in two-dimensional constant curvature spaces
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