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Quantum Simulation Entanglement Theory Quantum Correlations Open Quantum Systems Decoherence Quantum State Preparation Representation

Dynamics on the cone: closed orbits and superintegrability

arXiv
Authors: Y. Brihaye, P. Kosiński, P. Maślanka

Year

2013

Paper ID

32291

Status

Preprint

Abstract Read

~2 min

Abstract Words

45

Citations

N/A

Abstract

The generalization of Bertrand's theorem to the case of the motion of point particle on the surface of a cone is presented. The superintegrability of such models is discussed. The additional integrals of motion are analyzed for the case of Kepler and harmonic oscillator potentials.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • The generalization of Bertrand's theorem to the case of the motion of point particle on the surface of a cone is presented.

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