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

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

2001-02-16

arxiv.org/abs/physics/0102054v2

Acad. Ciencias Zaragoza, 55 (2000) 103-109

Physics

Atomic Physics

7 pages with 5 figures

Scientific paper

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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