Integrable Heisenberg-Dirac chains with variable range exchange: Integrable quantum spin chains

Inozemtsev, Vladimir

Softcover

ISBN 10: 3843359458 ISBN 13: 9783843359450

Publisher: LAP LAMBERT Academic Publishing, 2013

The book is devoted to the review of original results of the author in the theory of integrable s=1/2 quantum spin chains with the exchange constants proportional to inverse square hyperbolic sine (infinite chains) and Weierstrass elliptic function with real period which equals to the number of lattice sites (chains with periodic boundary conditions). It contains the proof of integrability (explicit construction of integrals of motion) and detailed description of multimagnon wave functions generalizing the well-known Bethe ansatz for one-dimensional chains with nearest-neighbor exchange. Much attention is paid to finding explicit form of corresponding eigenvalue equations for arbitrary number of magnons based on analogy with quantum Calogero-Moser integrable particle systems with inverse square hyperbolic and elliptic potentials at some integer coupling constant.

About the Author:

Vladimir Inozemtsev graduated from Department of Physics of Moscow State University in 1974 and got Ph.D. in 1979 from the Laboratory of Theoretical Physics of Joint Institute for Nuclear Research (JINR), Dubna, Russia. Author of more than 90 research papers in high-energy particle physics and integrable many-body theories.