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The Weierstrass elliptic function an...

Pastras, Georgios.

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The Weierstrass elliptic function and applications in classical and quantum mechanics = a primer for advanced undergraduates /

Record Type:	Electronic resources : Monograph/item
Title/Author:	The Weierstrass elliptic function and applications in classical and quantum mechanics/ by 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.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Elliptic functions. -
Online resource:	https://doi.org/10.1007/978-3-030-59385-8
ISBN:	9783030593858

The Weierstrass elliptic function and applications in classical and quantum mechanics = a 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

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

576021
Elliptic functions.

LC Class. No.: QA343 / .P37 2020

Dewey Class. No.: 515.983

The Weierstrass elliptic function and applications in classical and quantum mechanics = a primer for advanced undergraduates /
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245 1 4 $a The Weierstrass elliptic function and applications in classical and quantum mechanics $h [electronic resource] : $b a primer for advanced undergraduates / $c by Georgios Pastras.
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300 $a xiii, 111 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in physics, $x 2191-5423
505 0 $a 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.
520 $a 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.
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650 2 4 $a Particle and Nuclear Physics. $3 1067136
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