Solution to three-magnon problem for \(S=1/2\) periodic quantum spin chains with elliptic exchange. (English) Zbl 0895.33006
Three-magnon wave problems for the \(S=1/2\) quantum Heisenberg chains with elliptic exchange are solved by applying the method of the three-particle quantum elliptic Calogero-Moser problem. The Bethe-like algebraic equations for the three-magnon case are given in an explicit form.
Reviewer: Y.Kobayashi (Tottori)
MSC:
| 33E20 | Other functions defined by series and integrals |
| 82B20 | Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics |
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