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.
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