The classical MICZ-Kepler problem is shown to be reducible to an isotropic two-dimensional system of linear harmonic oscillators and a conservation law in terms of new variables related to the Ermanno-Bernoulli constants and the components of the Poincare vector. An algorithmic route to linearization is shown based on Lie symmetry analysis and the reduction method [Nucci, J. Math. Phys. 37, 1772 (1996) ]. First integrals are also obtained by symmetry analysis and the reduction method [Marcelli and Nucci,J. Math. Phys. 44, 2111 (2002) ].
Reduction of the classical MICZ-Kepler problem to a two-dimensional linear isotropic harmonic oscillator / P. G. L. LEACH; NUCCI, Maria Clara. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 0022-2488. - STAMPA. - 45:9(2004), pp. 3590-3604. [10.1063/1.1781748]
Reduction of the classical MICZ-Kepler problem to a two-dimensional linear isotropic harmonic oscillator
NUCCI, Maria Clara
2004
Abstract
The classical MICZ-Kepler problem is shown to be reducible to an isotropic two-dimensional system of linear harmonic oscillators and a conservation law in terms of new variables related to the Ermanno-Bernoulli constants and the components of the Poincare vector. An algorithmic route to linearization is shown based on Lie symmetry analysis and the reduction method [Nucci, J. Math. Phys. 37, 1772 (1996) ]. First integrals are also obtained by symmetry analysis and the reduction method [Marcelli and Nucci,J. Math. Phys. 44, 2111 (2002) ].I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
