Solution to three-magnon problem for S=1/2 periodic quantum spin chains with elliptic exchange

Journal of Mathematical Physics

Volumn 37, Issue 1, 1996, Pages 147-159

  Inozemtsev, V I ^a,b  

^a UNIVERSITY OF TOKYO   (Japan)

^b JOINT INSTITUTE FOR NUCLEAR RESEARCH   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030550668     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531380     Document Type: Article

References (30)

1. F. Calogero, Lett. Nuovo Cim. 13, 411 (1975); J. Moser. Adv. Math. 16, 1 (1975).
2. F. Calogero, Lett. Nuovo Cim. 13, 411 (1975); J. Moser. Adv. Math. 16, 1 (1975).
3. M. A. Olshanetsky and A. M. Perelomov, Phys. Rep. 94, 313 (1983).
4. H. Ochiai, T. Oshima, and J. Sekiguchi, Proc. Jpn. Acad. Ser. A 70, 62 (1994).
5. F. Calogero, G. Marchioro, and O. Ragnisco, Lett. Nuovo Cim. 13, 383 (1975).
6. O. A. Chalykh and A. P. Veselov, Commun. Math. Phys. 126, 597 (1990); 152, 29 (1993).
7. O. A. Chalykh and A. P. Veselov, Commun. Math. Phys. 126, 597 (1990); 152, 29 (1993).
8. J. B. McGuire, J. Math. Phys. 5, 622 (1964).
9. F. Calogero, J. Math. Phys. 12, 419 (1971).
10. B. Sutherland, Phys. Rev. A 4, 2019 (1971); 5, 1372 (1972).
11. B. Sutherland, Phys. Rev. A 4, 2019 (1971); 5, 1372 (1972).
12. I. V. Cherednik, IMRN (Duke Math.) 9, 171 (1992).
13. D. Kazhdan, B. Kostant, and S. Sternberg, Comm. Pure Appl. Math. 31, 481 (1978).
14. P. I. Etingof, J. Math. Phys. 36, 1645 (1995).
15. P. I. Etingof and A. A. Kirillov, Jr., Duke Math. J. 74, 585 (1994).
16. S. N. M. Ruijsenaars, Commun. Math. Phys. 110, 191 (1987).
17. A. Gorsky and N. Nekrasov, Nucl. Phys. B 436, 582 (1995).
18. E. K. Sklyanin, Progr. Theor. Phys. Suppl. 118, 35 (1995).
19. K. Hasegawa, J. Phys. A 26, 3211 (1993); J. Math. Phys. 35, 6158 (1994).
20. K. Hasegawa, J. Phys. A 26, 3211 (1993); J. Math. Phys. 35, 6158 (1994).
21. H. Bethe, Z. Phys. 71, 205 (1931).
22. F. D. M. Haldane, Phys. Rev. Lett. 66, 1529 (1991).
23. L. D. Faddeev, in Integrable Models of 1+1 Dimensional Quantum Field Theory (Elsevier, Amsterdam, 1984).
24. D. Bernard, M. Gaudin, F. D. M. Haldane, and V. Pasquier, J. Phys. A 26, 5219 (1993).
25. V. I. Inozemtsev, Commun. Math. Phys. 148, 359 (1992).
26. V. I. Inozemtsev, J. Stat. Phys. 59, 1143 (1990).
27. G. H. Halphen, Fonctions Elliptiques II, Paris, 1888.
28. J. Dittrich and V. I. Inozemtsev, J. Phys. A 26, L753 (1993).
29. V. I. Inozemtsev, ISSP preprint A2928 (1995), to appear in Lett. Math. Phys.
30. V. I. Inozemtsev, Lett. Math. Phys. 28, 281 (1993).