Exact Classical and Quantum Mechanics of a Generalized Singular Equation of Quadratic Liénard Type
Lucas H. Koudahoun, Jean Akande, Damien K.K. Adjaï, Yélomè J.F. Kpomahou and Marc D. Monsia
Journal of Mathematics and Statistics
Authors introduce a generalized singular differential equation of quadratic Liénard type for study of exact classical and quantum mechanical solutions. The equation is shown to exhibit periodic solutions and to include the linear harmonic oscillator equation and the Painlevé-Gambier XVII equation as special cases. It is also shown that the equation may exhibit discrete eigenstates as quantum behavior under Nikiforov-Uvarov approach after several point transformations.
© 2018 Lucas H. Koudahoun, Jean Akande, Damien K.K. Adjaï, Yélomè J.F. Kpomahou and Marc D. Monsia. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.