## Abstract

We investigate the Hamiltonian H_{KL} with a time-dependent potential in N-dimensional space that is a special combination of a Kepler and a harmonic-oscillator potential. The corresponding classical system has an angular-momentum tensor and a time-dependent analog of the Laplace-Runge-Lenz vector, which commute with the "quasi-Hamiltonian" H_{c}. These quantities are conserved on the orbits of H_{KL}, and their Poisson brackets yield a realization of twisted or untwisted centerless Kac-Moody algebras of so(N + 1). The corresponding quantum-mechanical operators and their commutators yield a representation of the positive subalgebras of the above Kac-Moody algebras.

Original language | English |
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Pages (from-to) | 1000-1007 |

Number of pages | 8 |

Journal | Physics of Atomic Nuclei |

Volume | 65 |

Issue number | 6 |

DOIs | |

State | Published - 1 Jan 2002 |

Externally published | Yes |

## ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics
- Nuclear and High Energy Physics