Exact and Asymptotic Solutions for Bethe Ansatz in a Hexagon

Andrzej Wal
Additional contact information
Andrzej Wal: Pedagogical University, Institute of Physics

A chapter in Algebraic Combinatorics and Applications, 2001, pp 324-332 from Springer

Abstract: Abstract A complete set of solutions of the Heisenberg model for a magnet with N=6 nodes and spin s=1/2 has been described in terms of (i) immediate diagonalization, (ii) coordinate Bethe Ansatz (in terms of pseudomomenta pα and soliton phase exchange Ф α,α′), (iii) algebraic Bethe Ansatz (in terms of spectral parameters λα), (iv) string hypothesis with its combinatorial content (rigged configurations of Kerov-Kirillov-Reshetikhin). It has been shown that this example transparently presents various notions and terminology associated with Bethe Ansatz, and, in particular, indicates distinction between exact and asymptotic solutions.

Keywords: Cyclic Group; Asymptotic Solution; Spectral Parameter; Total Spin; Bethe Equation (search for similar items in EconPapers)
Date: 2001
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-59448-9_22

Ordering information: This item can be ordered from
http://www.springer.com/9783642594489

DOI: 10.1007/978-3-642-59448-9_22

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().