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- W2023168984 abstract "The anisotropic Kepler problem is a one parameter family of Hamiltonian systems recently introduced by Gutzwiller to approximate certain quantum mechanical systems. When the parameter μ = 1, we have the ordinary Kepler or central force problem. This system is regularizable by any of several well known methods. When μ > 1, the kinetic energy of the system becomes anisotropic. This destroys the integrability of the problem and changes the orbit structure of the system dramatically. In this paper, we show that the anisotropy of the kinetic energy also destroys the regularizability of the system, at least for most μ > 1." @default.
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- W2023168984 date "1978-08-01" @default.
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- W2023168984 title "Nonregularizability of the anisotropic Kepler problem" @default.
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- W2023168984 doi "https://doi.org/10.1016/0022-0396(78)90124-9" @default.
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