000 02677nam a22003738i 4500
001 CR9780511596827
003 UkCbUP
005 20200124160327.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090716s2009||||enk o ||1 0|eng|d
020 _a9780511596827 (ebook)
020 _z9780521815987 (hardback)
020 _z9781107424722 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQC176.8.E4
_bK867 2009
082 0 0 _a530.4/11015118
_222
100 1 _aKuramoto, Y.
_q(Yoshio),
_eauthor.
245 1 0 _aDynamics of one-dimensional quantum systems :
_binverse-square interaction models /
_cYoshio Kuramoto, Yusuke Kato.
264 1 _aCambridge :
_bCambridge University Press,
_c2009.
300 _a1 online resource (xii, 474 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 _aPhysical 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.
520 _aOne-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.
650 0 _aElectronic structure
_xMathematical models.
650 0 _aMatrix inversion.
650 0 _aMany-body problem.
700 1 _aKato, Y.
_q(Yūsuke),
_d1929-
_eauthor.
776 0 8 _iPrint version:
_z9780521815987
856 4 0 _uhttps://doi.org/10.1017/CBO9780511596827
999 _c522257
_d522255