Runge-Lenz vector for nonrelativistic Kepler motion modifed by an inverse cube force

Details Runge-Lenz vector for nonrelativistic Kepler motion modifed by an inverse cube force Runge-Lenz vector for nonrelativistic Kepler motion modifed by an inverse cube force

Jul 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976amjph..44..687h&link_type=abstract

American Journal of Physics, Volume 44, Issue 7, pp. 687-694 (1976).

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8

Other Topics In Mathematical Methods In Physics, Solutions Of Wave Equations: Bound States

Scientific paper

The Runge-Lenz vector is determined in a rotating coordinate system, for nonrelativistic Kepler motion modified by an inverse cube force. In the rotating coordinate system the problem reduces to that of nonrelativistic Kepler motion. Using the Runge-Lenz vector it is shown how to obtain the classical orbit equation and the quantum mechanical energy eigenvalues. Attention is confined to classical motion between two turning point method can be extended to other kinds of motion that are possible in this force field.

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