ENGLISH

The Weierstrass Elliptic Function and Applications in Classical and Quantum Mechanics: A Primer for Advanced Undergraduates

By Georgios Pastras

Book information

Publisher
Springer International Publishing;Springer
Year
2020
ISBN
9783030593841, 9783030593858
DOI
10.1007/978-3-030-59385-8
Language
english
Format
PDF
Filesize
2 MB (1719553 bytes)
Series
SpringerBriefs in Physics
Edition
1st ed.
Pages
XIII, 111\119
Time added
2021-01-06 05:41:07
Mathematical and Computational Physics; Special FuPhysics; Theoretical

Description

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.

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