Authors: Jean Akande, Biswanath Rath, Damien Kêgnidé Kolawolé Adjaï, Lucas Hervé Koudahoun, Pravanjan Mallick, Rati Ranjan Sahoo, Fernando Yélomè Judicaël Kpomahou, Marc Delphin Monsia
The quantization of second order nonlinear dynamical systems is well known to be a complicated Sturm-Liouville problem. This work is devoted to the numerical and exact quantization of a quadratic Liénard type oscillator equation which admits a trigonometric function solution. The bound state solutions of the resulting Schrödinger equation expressed in terms of elementary functions and the possibility to recover the energy spectrum of the quantum harmonic oscillator are exactly and numerically discussed following the specific values of system parameters, using the Nikiforov-Uvarov method and nonlocal transformations.
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