Time-dependent realization of the infinite-dimensional hydrogen algebra

Jamil Daboul, Pavel Winternitz

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


We use the Hamiltonian formalism to investigate the Katzin-Levine model of a time-dependent Kepler problem. This formalism enables us to define Lie products in terms of Poisson brackets and obtain a time-dependent realization of centerless twisted (or standard) Kac-Moody algebras of so(N + 1). We also show that the classical solutions of the model are modulated conic sections and derive a generalized Kepler equation for the time dependence.

Original languageEnglish
Pages (from-to)163-168
Number of pages6
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number3
StatePublished - 16 Apr 2001


  • Kac-Moody algebras
  • Kepler equation
  • Runge-Lenz vector
  • Super-integrable Hamiltonians
  • Time-dependent Hamiltonians

ASJC Scopus subject areas

  • General Physics and Astronomy


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