The Weierstrass Elliptic Function and Applications in Classical and Quantum Mechanics A Primer for Advanced Undergraduates 1st Edition by Georgios Pastras ISBN 3030593843 978-3030593841

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Product details:

ISBN 10: 3030593843 

ISBN 13: 978-3030593841

Author:  Georgios Pastras

 The field of elliptic functions, apart from its own mathematical beauty, has many applications in physics in a variety of topics, such as string theory or integrable systems. This book, which focuses on the Weierstrass theory of elliptic functions, aims at senior undergraduate and junior graduate students in physics or applied mathematics. Supplemented by problems and solutions, it provides a fast, but thorough introduction to the mathematical theory and presents some important applications in classical and quantum mechanics. Elementary applications, such as the simple pendulum, help the readers develop physical intuition on the behavior of the Weierstrass elliptic and related functions, whereas more Interesting and advanced examples, like the n=1 Lamé problem-a periodic potential with an exactly solvable band structure, are also presented.

Table of contents: 

1. The Weierstrass Elliptic Function

2. The Weierstrass Quasi-periodic Functions

3. Real Solutions of Weierstrass Equation

4. Applications in Classical Mechanics

5. Applications in Quantum Mechanics

6. Epilogue and Projects for the Advanced Reader

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Tags: Georgios Pastras, Weierstrass, Elliptic Function, Applications, Classical, Quantum Mechanics, Primer