Motion in an Asymmetric Double Well

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...

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Bibliographic Details
Published in:arXiv.org 2016-07
Main Authors: Brizard, Alain J, Westland, Melissa C
Format: Article
Language:English
Subjects:
Elliptic functions
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1602.07239