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

By:

Pastras, Georgios [VerfasserIn]

Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: SpringerBriefs in PhysicsPublisher: Cham : Springer International Publishing, 2020Publisher: Cham : Imprint: Springer, 2020Edition: 1st ed. 2020Description: 1 Online-Ressource(XIII, 111 p. 14 illus., 13 illus. in color.)ISBN:

9783030593858

Subject(s):

Additional physical formats: 9783030593841 | 9783030593865 | Erscheint auch als: 9783030593841 Druck-Ausgabe | Erscheint auch als: 9783030593865 Druck-AusgabeDOI: DOI: 10.1007/978-3-030-59385-8Online resources:

Summary: Weierstrass Elliptic Function -- Weierstrass Quasi-periodic Functions -- Real Solutions of Weierstrass Equation -- Applications in Classical Mechanics -- Applications in Quantum Mechanics -- Epilogue and Projects for the Advanced Reader.Summary: 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.PPN: PPN: 1737520176Package identifier: Produktsigel: ZDB-2-PHA | ZDB-2-SEB | ZDB-2-SXP

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