Bethe Ansatz and Geometry of the Classical Configuration Space

• Authors: B. Lulek , T. Lulek , J. Milewski
• Languages of publication: EN

Abstracts

EN

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

Keywords

EN

02.10.Ox; 02.40.Sf; 31.15.xm; 75.75.+a; 85.75.Ff

Discipline

• 02.40.Sf: Manifolds and cell complexes
• 02.10.Ox: Combinatorics; graph theory
• 31.15.xm: Quasiparticle methods
• 85.75.Ff: Reprogrammable magnetic logic

• Journal: Acta Physica Polonica A
• Year: 2009
• Volume: 115
• Issue: 1
• Pages: 159-161

Dates

published

2009-01

Contributors

author

B. Lulek

• Chair of Physics, Rzeszów University of Technology, Powstańców Warszawy 6, 35-959 Rzeszów, Poland

author

T. Lulek

• Chair of Physics, Rzeszów University of Technology, Powstańców Warszawy 6, 35-959 Rzeszów, Poland

author

J. Milewski

• Institute of Mathematics, Poznań University of Technology, Piotrowo 3A, 60-965 Poznań, Poland

References

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• 8. A. Schilling, MSJ Memoirs 17, 75 (2007)
• 9. T. Lulek, B. Lulek, D. Jakubczyk, P. Jakubczyk, Physica B: Phys. Condens. Matter 382, 162 (2006)
• 10. B. Lulek, T. Lulek, Rep. Math. Phys. 38, 267 (1996)
• 11. J. Milewski, B. Lulek, T. Lulek, Phys. Status Solidi B 244, 2497 (2007)

Identifiers

DOI

10.12693/APhysPolA.115.159