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The Weierstrass elliptic function an...

Pastras, Georgios.

The Weierstrass elliptic function and applications in classical and quantum mechanicsa primer for advanced undergraduates /

Record Type:	Electronic resources : Monograph/item
Title/Author:	The Weierstrass elliptic function and applications in classical and quantum mechanicsby Georgios Pastras.
Reminder of title:	a primer for advanced undergraduates /
Author:	Pastras, Georgios.
Published:	Cham :Springer International Publishing :2020.
Description:	xiii, 111 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Elliptic functions.
Online resource:	https://doi.org/10.1007/978-3-030-59385-8
ISBN:	9783030593858$q(electronic bk.)

The Weierstrass elliptic function and applications in classical and quantum mechanicsa primer for advanced undergraduates /
Pastras, Georgios.

The Weierstrass elliptic function and applications in classical and quantum mechanicsa primer for advanced undergraduates /[electronic resource] :by Georgios Pastras. - Cham :Springer International Publishing :2020. - xiii, 111 p. :ill., digital ;24 cm. - SpringerBriefs in physics,2191-5423. - SpringerBriefs in physics..

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.

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 Lame problem-a periodic potential with an exactly solvable band structure, are also presented.

ISBN: 9783030593858$q(electronic bk.)

Standard No.: 10.1007/978-3-030-59385-8doiSubjects--Topical Terms:

277226
Elliptic functions.

LC Class. No.: QA343 / .P37 2020

Dewey Class. No.: 515.983

The Weierstrass elliptic function and applications in classical and quantum mechanicsa primer for advanced undergraduates /
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