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In these four lectures, aiming at senior undergraduate and junior graduatePhysics and Mathematics students, basic elements of the theory of ellipticfunctions are presented. Simple applications in classical mechanics arediscussed, including a point particle in a cubic, sinusoidal or hyperbolicpotential, as well as simple applications in quantum mechanics, namely the n=1Lame potential. These lectures were given at the School of Applied Mathematicsand Physical Sciences of the National Technical University of Athens in May2017.

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