Exact zero-energy solution for a new family of Anharmonic Potentials

Yoel Lana-Renault

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arXiv · physics/0102054

Exact zero-energy solution for a new family of Anharmonic Potentials

Yoel Lana-Renault

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Abstract

An explicit, oscillatory solution of the type r = [A + B sin(wt)]exp(a) is found for the zero-energy one-dimensional motion of a particle under a specific family of anharmonic potentials. We present a new parametric family of anharmonic potentials for which one is able to obtain closed analytical solutions for the trajectories of zero-energy.

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Yoel Lana-Renault. 2001-02-17. Exact zero-energy solution for a new family of Anharmonic Potentials. https://arxiv.org/abs/physics/0102054

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