Dynamics of one-dimensional quantum systems : inverse-square interaction models / Yoshio Kuramoto, Yusuke Kato.

Format:

Book

Author/Creator:

Kuramoto, Y. (Yoshio), author.

Kato, Y. (Yūsuke), 1929-1991, author.

Language:

English

Subjects (All):

Electronic structure--Mathematical models.

Electronic structure.

Matrix inversion.

Many-body problem.

Physical Description:

1 online resource (xii, 474 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 2009.

Language Note:

English

Summary:

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.

Contents:

Physical properties

Single-component Sutherland model

Multi-component Sutherland model

Spin chain with 1/r² interactions

SU (K) spin chain

Supersymmetric t

J model with 1/r² interaction

Mathematics related to 1/r² systems

Jack polynomials

Yang-Baxter relations and orthogonal eigenbasis

SU (K) and supersymmetric Yangians

Uglov's theory.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

ISBN:

1-107-19502-0

1-282-30315-5

9786612303159

0-511-59602-2

0-511-59642-1

0-511-59365-1

0-511-59272-8

0-511-59682-0

0-511-59558-1

OCLC:

609842900