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DY N A M I C S O F O N E - D I M E N S I O N A L
Q U A N T U M S Y S T E M S
One-dimensional quantum systems show fascinating properties beyond the
scope of the mean-field approximation. However, plicated mathemat-
ics involved is a high barrier to non-specialists. Written for graduate stu-
dents and researchers new to the field, this book is a self-contained account
of how to derive a quasi-particle picture from the exact solution of models
with inverse-square interparticle interactions.
The book provides readers with an intuitive understanding of exact dy-
namical properties in terms of exotic quasi-particles that 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.
Yoshio Kuramoto is a Professor of Physics at Tohoku University, Japan.
He is an expert on strongly correlated electron systems, and has authored
and co-authored several books and many papers in related research fields.
He is a member of the Physical Society of Japan, and has served as one of
the editors of the Society’s journal.
Yusuke Kato is an Associate Professor in the Department of Basic
Science at the University of Tokyo. His working fields are physics of con-
densed matter, correlated electron systems in one dimension, integrable sys-
tems, superconductivity and Bose–Einstein condensation.
Dynamics of One-Dimensional
Quantum Systems
Inverse-Square Interaction Models
Y O S H I O K U R A M O T O
Tohoku University
Y U S U K E K AT O
University of Tokyo
CAMBRIDGE UNIVERSITY PRESS
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