TY - BOOK ID - 80826927 TI - Dynamics of one-dimensional quantum systems AU - Kuramoto, Y AU - Kato, Y PY - 2009 SN - 9780511596827 9780521815987 9781107424722 9780511596421 0511596421 0521815983 0511596820 1107424720 1107195020 1282303155 9786612303159 0511596022 0511593651 0511592728 0511595581 PB - Cambridge New York Cambridge University Press DB - UniCat KW - Electronic structure KW - Matrix inversion. KW - Many-body problem. KW - n-body problem KW - Problem of many bodies KW - Problem of n-bodies KW - Mechanics, Analytic KW - Inverse matrices KW - Inverse of a matrix KW - Inversion, Matrix KW - Linear operators KW - Matrices KW - Structure, Electronic KW - Atomic structure KW - Energy-band theory of solids KW - Mathematical models. KW - Generalized inverses UR - https://www.unicat.be/uniCat?func=search&query=sysid:80826927 AB - One-dimensional quantum systems show fascinating properties beyond the scope of the mean-field approximation. However, the complicated mathematics involved is a high barrier to non-specialists. Written for graduate students and researchers new to the field, this book is a self-contained account of how to derive the exotic quasi-particle picture from the exact solution of models with inverse-square interparticle interactions. The book provides readers with an intuitive understanding of exact dynamical properties in terms of exotic quasi-particles which are neither bosons nor fermions. Powerful concepts, such as the Yangian symmetry in the Sutherland model and its lattice versions, are explained. A self-contained account of non-symmetric and symmetric Jack polynomials is also given. Derivations of dynamics are made easier, and are more concise than in the original papers, so readers can learn the physics of one-dimensional quantum systems through the simplest model. ER -