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Four Lectures on Weierstrass Elliptic Function and Applications in Classical and Quantum Mechanics

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arxiv 1706.07371 v2 pith:YC4G3GFY submitted 2017-06-19 math-ph hep-thmath.MP

Georgios Pastras This is my paper · ORCID
classification math-phhep-thmath.MP
keywords applicationslecturesmechanicsclassicalellipticfourmathematicspotential
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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.

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  1. Time-dependent solutions of biadjoint scalar field theories

    hep-th 2025-02 accept novelty 6.0 of 10

    New plane-wave-type exact solutions of generalized biadjoint scalar field theory are constructed, including bounded profiles, using elliptic, tanh, and rational functions.

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