Exact Classical and Quantum Mechanics of a Generalized Singular Equation of Quadratic Liénard Type
Lucas H. Koudahoun1, Jean Akande1, Damien K.K. Adjaï1, Yélomè J.F. Kpomahou2 & Marc D. Monsia1 Show affiliations
- University of Abomey-Calavi, Benin
- University of Abomey, Benin
Journal of Mathematics and Statistics, Volume 14, Issue 1, pp. 183–192 · doi.org/10.3844/jmssp.2018.183.192
Abstract
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.
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Koudahoun, L. H., Akande, J., Adjaï, D. K., Kpomahou, Y. J. & Monsia, M. D. (2018). Exact Classical and Quantum Mechanics of a Generalized Singular Equation of Quadratic Liénard Type. Journal of Mathematics and Statistics, 14(1), 183–192. https://doi.org/10.3844/jmssp.2018.183.192
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