Integrable Many-Particle Systems (Hardcover)

Before placing an order, please note:

  • You'll receive a confirmation email once your order is complete and ready for pickup. 
  • If you have a membership, please make a note of this in the order comments and we'll apply your discount.
  • If you place a pre-order in the same order as currently available titles, an additional shipping fee will be added to your order. 
  • Women & Children First is not responsible for lost or stolen packages.
Integrable Many-Particle Systems By Vladimir Inozemtsev Cover Image


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.

Product Details
ISBN: 9781800613812
ISBN-10: 1800613814
Publisher: World Scientific Publishing Europe Ltd
Publication Date: April 25th, 2023
Pages: 268
Language: English