Classes of potentials of time-dependent central force fields which possess first integrals quadratic in the momenta
- 1 July 1985
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 26 (7) , 1613-1620
- https://doi.org/10.1063/1.526927
Abstract
The general form for the potential of a time-dependent central force which possesses an energylike first integral is determined. In two special cases additional first integrals (apart from the angular momentum) are found. These enable the orbit equation to be determined without further quadrature. The Schrödinger equation is solved fully in these cases.Keywords
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