Four Lectures on Weierstrass Elliptic Function and Applications in Classical and Quantum Mechanics
Mathematical Physics
2017-09-07 v2 High Energy Physics - Theory
math.MP
Abstract
In these four lectures, aiming at senior undergraduate and junior graduate Physics and Mathematics students, basic elements of the theory of elliptic functions are presented. Simple applications in classical mechanics are discussed, including a point particle in a cubic, sinusoidal or hyperbolic potential, as well as simple applications in quantum mechanics, namely the n=1 Lame potential. These lectures were given at the School of Applied Mathematics and Physical Sciences of the National Technical University of Athens in May 2017.
Cite
@article{arxiv.1706.07371,
title = {Four Lectures on Weierstrass Elliptic Function and Applications in Classical and Quantum Mechanics},
author = {Georgios Pastras},
journal= {arXiv preprint arXiv:1706.07371},
year = {2017}
}
Comments
89 pages, 13 figures. Lectures given at the National Technical University of Athens in May 2017