Motion in an Asymmetric Double Well
Mathematical Physics
2016-09-21 v2 math.MP
Abstract
The problem of the motion of a particle in an asymmetric double well is solved explicitly in terms of the Weierstrass and Jacobi elliptic functions. While the solution of the orbital motion is expressed simply in terms of the Weierstrass elliptic function, the period of oscillation is more directly expressed in terms of periods of the Jacobi elliptic functions.
Cite
@article{arxiv.1602.07239,
title = {Motion in an Asymmetric Double Well},
author = {Alain J. Brizard and Melissa C. Westland},
journal= {arXiv preprint arXiv:1602.07239},
year = {2016}
}
Comments
12 pages, 10 figures; references added