Abstract
We classify the Hamiltonians H = p2x + p2y + V(x,y) of all classical superintegrable systems in two-dimensional complex Euclidean space with two additional second-order constants of the motion. We similarly classify the superintegrable Hamiltonians H = J21 + J22 + J23 + V(x, y, z) on the complex two-sphere where x2 + y2 + z2 = 1. This is achieved in all generality using properties of the complex Euclidean group and the complex orthogonal group.
Original language | English (US) |
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Pages (from-to) | 4705-4720 |
Number of pages | 16 |
Journal | Journal of Physics A: Mathematical and General |
Volume | 34 |
Issue number | 22 |
DOIs | |
State | Published - Jun 8 2001 |