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Fibre structure of a model manifold of classical configuration space in Bethe ansatz
Author(s) -
Milewski J.,
Lulek B.,
Lulek T.
Publication year - 2007
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.200674634
Subject(s) - bethe ansatz , manifold (fluid mechanics) , space (punctuation) , bundle , ring (chemistry) , fiber bundle , configuration space , physics , topology (electrical circuits) , mathematics , mathematical physics , quantum mechanics , chemistry , combinatorics , computer science , materials science , engineering , mechanical engineering , integrable system , organic chemistry , composite material , operating system
Within Bethe ansatz approach, the system of r Bethe pseudoparticles on a magnetic ring of N nodes is characterised by a finite set of magnetic configurations which can be interpreted as a classical configuration space. This space can be embedded into r ‐dimensional manifold. Here we present the fibre bundle structure of this model manifold. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)