TitleThe Weierstrass Elliptic Function and Applications in Classical and Quantum Mechanics : A Primer for Advanced Undergraduates
Author(s)Pastras, Georgios
PublicationCham, Springer International Publishing, 2020.
DescriptionXIII, 111 p. 14 illus., 13 illus. in color : online resource
Abstract NoteThe 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 Lam?? problem-a periodic potential with an exactly solvable band structure, are also presented
ISBN,Price9783030593858
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. CLASSICAL MECHANICS 4. EBOOK 5. EBOOK - SPRINGER 6. ENGINEERING MATHEMATICS 7. MATHEMATICAL PHYSICS 8. MECHANICS 9. NUCLEAR PHYSICS 10. Particle and Nuclear Physics 11. SPECIAL FUNCTIONS 12. Theoretical, Mathematical and Computational Physics
Item TypeeBook
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Accession#  Call#StatusIssued ToReturn Due On Physical Location
I09024     On Shelf