Homotopy of the classical configuration space for the two-magnon sector of a magnetic Heisenberg ring

• Autorzy: Barbara Lulek , Dorota Jakubczyk
• Języki publikacji: EN

Abstrakty

EN

A finite Heisenberg magnetic ring with an arbitrary single-node spin and two spin deviations from the ferromagnetic saturation is considered as the system of two Bethe pseudoparticles. The set of all relevant magnetic configurations spans a surface which can be recognised as a Mőbius strip. The dynamics of the system imposes the double twist of all regular orbits of the translation symmetry group.

Słowa kluczowe

EN

Triangulation; homotopy group; triangulation; configuration space; translation group; Mőbius strip; 02.40.Re; 03.65.Fd; 45.10.Na; 75.10.Jm

• Czasopismo: Open Physics
• Rocznik: 2003
• Tom: 1
• Numer: 1
• Strony: 132-144

Daty

wydano

2003-03-01

online

2003-03-01

Twórcy

autor

Barbara Lulek

• The Institute of Physics, the University of Rzeszow, Rzeszow, 35-959, Rejtana 16 c, Poland

autor

Dorota Jakubczyk

• The Institute of Physics, the University of Rzeszow, Rzeszow, 35-959, Rejtana 16 c, Poland

Bibliografia

• [1] H. Bethe, Z. Physik71, 205–26 (1931) (in German); English translation in: D. C. Mattis, The Many-Body Problem (Word Sci., Singapore, 1993, pp. 689–716) http://dx.doi.org/10.1007/BF01341708[Crossref]
• [2] R. Baxter, Exactly Solvable Models in Statistical Mechanics (New York, Academic Press (1982).
• [3] C. N. Yang, Phys. Rev. Lett. 19, 1312–1315 (1961) http://dx.doi.org/10.1103/PhysRevLett.19.1312[Crossref]
• [4] R. Baxter, Ann. Phys. (N.Y.) 70, 193–228 (1972). http://dx.doi.org/10.1016/0003-4916(72)90335-1[Crossref]
• [5] L. A. Takhtajan and L. D. Faddeev, LOMI 109, 134–173 (1981)
• [6] H. J. de Vega, Int. J. Mod. Phys. 4, 735–801 (1990) http://dx.doi.org/10.1142/S0217979290000383[Crossref]
• [7] E. K. Skalyanin, in: B. A. Kupersehmidt (Ed.)Integrable and Superintegrable Systems (World Sci., Singapore (1990), pp. 8–33.
• [8] B. Lulek and T. Lulek, Rep. Math. Phys. 38, 279–82 (1996) http://dx.doi.org/10.1016/0034-4877(96)88959-2[Crossref]
• [9] B. Lulek and T. Lulek, in: T. Lulek, B. Lulek and A. Wal (Eds.)Symmetry and Structural Properties of Condensed Matter (World Sci., Singapore 1991) pp. 289–310
• [10] B. Lulek and T. Lulek, Czech. J. Phys. 51, 357–64 (2001) http://dx.doi.org/10.1023/A:1017545607581[Crossref]
• [11] S. V. Kerov, A. N. Kirillov, and N. Yu. Reshetikin, J. Sov. Math., 41, 916–24 (1988) http://dx.doi.org/10.1007/BF01247087[Crossref]
• [12] T. Lulek, in: A. Betten, A. Kohnert, R. Laue and A. Wassermann (Eds.), Algebraic Combinatorics and Applications (springer, Berlin 2000), pp. 261–72.
• [13] M. Gandin, La Function d’Onde de Bethe, Masson, Paris 1983
• [14] B. Lulek, Acta Phys. Pol. B22, 371–88 (1992)
• [15] P.J. Hilton and S. Wylie, Homology Theory, Cambridge University Press, 1960.

Identyfikatory

DOI

10.2478/BF02475557