Description: Further DetailsTitle: Integrable Many-particle SystemsCondition: NewFormat: HardbackEAN: 9781800613812ISBN: 9781800613812Publisher: World Scientific Europe LtdRelease Date: 06/05/2023Description: It is commonly known that three or more particles interacting via a two-body potential is an intractable problem. However, similar systems confined to one dimension yield exactly solvable equations, which have seeded widely pursued studies of one-dimensional n-body problems. The interest in these investigations is justified by their rich and quantitative insights into real-world classical and quantum problems, birthing a field that is the subject of this book. Spanning four bulk chapters, this book is written with the hope that readers come to appreciate the beauty of the mathematical results concerning the models of many-particle systems, such as the interaction between light particles and infinitely massive particles, as well as interacting quasiparticles. As the book discusses several unsolved problems in the subject, it functions as an insightful resource for researchers working in this branch of mathematical physics.In Chapter 1, the author first introduces readers to interesting problems in mathematical physics, with the prime objective of finding integrals of motion for classical many-particle systems as well as the exact solutions of the corresponding equations of motions. For these studied systems, their quantum mechanical analogue is then developed in Chapter 2. In Chapter 3, the book focuses on a quintessential problem in the quantum theory of magnetism: namely, to find all integrable one-dimensional systems involving quasiparticles of interacting one-half spins. Readers will study the integrable periodic chains of interacting one-half spins and discover the integrals of motion for such systems, as well as the eigenvectors of their corresponding Hamiltonians. In the last chapter, readers will study about integrable systems of quantum particles, with spin and mutual interactions involving rational, trigonometric, or elliptic potentials.Language: EnglishCountry/Region of Manufacture: GBAuthor: Vladimir InozemtsevGenre: Science Nature & MathItem Weight: 1.16 poundsgISBN-10: 1800613814Item Length: 16mmItem Height: 228mmType: PhysicsRelease Year: 2023 Missing Information?Please contact us if any details are missing and where possible we will add the information to our listing.
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Format: Hardback
Book Title: Integrable Many-particle Systems
Publication Name: Integrable Many-particle Systems
Title: Integrable Many-particle Systems
EAN: 9781800613812
ISBN: 9781800613812
Publisher: World Scientific Europe Ltd
Release Date: 06/05/2023
Release Year: 2023
Language: English
Country/Region of Manufacture: GB
Author: Vladimir Inozemtsev
Genre: Science Nature & Math
Item Weight: 1.16 poundsg
ISBN-10: 1800613814
Item Length: 16mm
Item Height: 228mm
Type: Physics