Research output: Contribution to journal › Article › peer-review
The harmonic oscillator and the Kepler problem are superintegrable systems which admit more integrals of motion than degrees of freedom and all these integrals are polynomials in momenta. We present superintegrable deformations of the oscillator and the Kepler problem with algebraic and rational first integrals. Also, we discuss a family of superintegrable metrics on the two-dimensional sphere, which have similar first integrals.
| Original language | English |
|---|---|
| Article number | 085207 |
| Pages (from-to) | 085207 |
| Number of pages | 12 |
| Journal | Physica Scripta |
| Volume | 94 |
| Issue number | 8 |
| DOIs | |
| State | Published - 29 Apr 2019 |
ID: 41729427