Summary
The energy levels of the Kepler problem in a space of constant curvature can be cleared by the ladder method. In case of positive constant curvature, it has been done by H. I. Leemon. By extension of his method to the case of negative constant curvature the problem of energy levels of the Kepler problem in a space of constant curvature will be cleared.
References
E. Schrödinger:Proc. R. Ir. Acad., Sec. A,46, 9 (1940).
A. F. Stovenson:Phys. Rev.,59, 842 (1940).
L. Infeld andA. Schild:Phys. Rev.,67, 121 (1945).
M. Ikeda andY. Miyachi:Math. Jpn.,20, 73 (1975).
Y. Nishino:Math. Jpn.,17, 59 (1972).
M. Ikeda andN. Katayama:Tensor,38, 37 (1982).
P. W. Higgs:J. Phys. A,12, 309 (1979).
H. I. Leemon:J. Phys. A,12, 489 (1979).
Ю. Щ. А. Курочкин иВ. С Отчик:ДАН БССР,23, 987 (1979).
А. А. Богуш, Ю. А. Курочкин иВ. С. Отчик:ДАН БССР,24, 19 (1980).
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An erratum to this article is available at http://dx.doi.org/10.1007/BF02727281.
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Katayama, N. A note on the Kepler problem in a space of constant curvature. Nuov Cim B 105, 113–119 (1990). https://doi.org/10.1007/BF02723559
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DOI: https://doi.org/10.1007/BF02723559