Bethe Ansatz and Geometry of the Classical Configuration Space |
| B. Lulek, T. Lulek
Chair of Physics, Rzeszów University of Technology, Powstańców Warszawy 6, 35-959 Rzeszów, Poland |
| and J. Milewski
Institute of Mathematics, Poznań University of Technology, Piotrowo 3A, 60-965 Poznań, Poland |
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| We demonstrate that the seminal one-dimensional model of the Heisenberg magnet, consisting of N spins 1/2 with the nearest-neighbour isotropic interaction, solved exactly by Bethe ansatz, admits an interpretation of a system of r=N/2-M pseudoparticles (spin deviations) which are indistinguishable, have hard cores and move on the chain by local hoppings. Such an approach allows us to construct a manifold with some boundaries, which is genericly r-dimensional, and whose F-dimensional regions, 0 |
| DOI: 10.12693/APhysPolA.115.159 PACS numbers: 02.10.Ox, 02.40.Sf, 31.15.xm, 75.75.+a, 85.75.Ff |