publication . Preprint . Article . 2016

Motion in an Asymmetric Double Well

Alain J. Brizard; Melissa C. Westland;
Open Access English
  • Published: 23 Feb 2016
Abstract
Comment: 12 pages, 10 figures; references added
Persistent Identifiers
Subjects
free text keywords: Mathematical Physics, Weierstrass functions, Lemniscatic elliptic function, Jacobi elliptic functions, Jacobian curve, Quarter period, Mathematics, Mathematical analysis, Elliptic integral, Elliptic rational functions, Elliptic function
Related Organizations

[1] A. J. Brizard, An Introduction to Lagrangian Mechanics, 2nd ed. (World Scientific, Singapore, 2015).

[2] A. J. Brizard, Eur. J. Phys. 30, 729 (2009).

[3] W. P. Reinhardt and P. L. Walker, Weierstrass Elliptic and Modular Functions, in NIST Handbook of Mathematical Functions (Cambridge University Press, Cambridge, 2010), Chap. 23.

[4] D. F. Lawden, Elliptic Functions and Applications, (Springer-Verlag, New York, 1989).

[5] W. P. Reinhardt and P. L. Walker, Jacobian Elliptic Functions, in NIST Handbook of Mathematical Functions (Cambridge University Press, Cambridge, 2010), Chap. 22.

[6] L. V. Ahlfors, Complex Analysis, 3rd ed. (McGraw-Hill, New York,1979).

[7] M. Levi, Classical Mechanics With Calculus of Variations and Optimal Control: An Intuitive Introduction, (American Mathematical Society, 2014), problem 1.53 (page 68).

[8] A. J. Brizard, Notes on the Weierstrass Elliptic Function, arXiv:1510.07818v1 (2015).

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