# Closedness of orbits in a space with SU(2) Poisson structure

@article{Fatollahi2014ClosednessOO, title={Closedness of orbits in a space with SU(2) Poisson structure}, author={Amir H. Fatollahi and Ahmad Shariati and Mohammad Khorrami}, journal={arXiv: Classical Physics}, year={2014} }

The closedness of orbits of central forces is addressed in a three dimensional space in which the Poisson bracket among the coordinates is that of the SU(2) Lie algebra. In particular it is shown that among problems with spherically symmetric potential energies, it is only the Kepler problem for which all of the bounded orbits are closed. In analogy with the case of the ordinary space, a conserved vector (apart from the angular momentum) is explicitly constructed, which is responsible for the…

## 3 Citations

### Eigenvalue problem for radial potentials in space with SU(2) fuzziness

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The eigenvalue problem for radial potentials is considered in a space whose spatial coordinates satisfy the SU(2) Lie algebra. As the consequence, the space has a lattice nature and the maximum value…

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In this paper, we analyze the modification of integrable models in the κ-deformed space–time. We show that two-dimensional isotropic oscillator problem, Kepler problem and MICZ-Kepler problem in…

### Noncommutative Classical Dynamics on Velocity Phase Space and Souriau Formalism

- Physics, Mathematics
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We consider Feynman-Dyson’s proof of Maxwell’s equations u sing the Jacobi identities on the velocity phase space. In this paper we generalize the Feynman-Dyson’s scheme by incorporating the…

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