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Li\'enard-type nonlinear one-dimensional oscillator is quantized using vanRoos symmetric ordering recipe for the kinetic-like part of the new derivedHamiltonian. The corresponding Schr\"odinger equation is exactly solved inmomuntum space via the approach of supersymmetric quantum mechanics (SUSYQM).The bound-states energy spectra and corresponding wave functions are givenexplicitly in terms of the ambiguity parameters. The limiting case of nodeformation agrees exactly with the eigenenergies and eigenfunctions of theordinary quantum harmonic oscillator.

Quantization of Li\'enard's nonlinear harmonic oscillator and its solutions in the framework of supersymmetric quantum mechanics