Separation of Variable for Quantum Open Toda Lattice

Journal of the Physical Society of Japan

Volumn 65, Issue 5, 1996, Pages 1213-1221

  Hikami, Kazuhiro ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

Integrability; Quantum inverse scattering method; Reflection equation; Relativistic toda lattice; Separation of variable; Toda lattice; Yang baxter equation

Indexed keywords

EID: 0030538091     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.65.1213     Document Type: Article

References (34)

1. M. Toda: Theory of Nonlinear Lattices (Springer-Verlag, Berlin, 1981).
2. E. K. Sklyanin.: Non-linear Equations in. Classical and Quantum Field Theory, Lecture Notes in Physics 226, ed. N. Sanchez (Springer-Verlag, Berlin, 1985).
3. M. C. Gutzwiller: Ann. Phys. 124 (1980) 347.
4. M. C. Gutzwiller: Ann. Phys. 133 (1981) 304.
5. V. Pasquier and M. Gaudin: J. Phys. A 25 (1992) 5243.
6. E. K. Sklyanin: Prog. Theor. Phys. Suppl. 118 (1995) 35.
7. M. A. Olshanetsky and A. M. Perelomov: Phys. Rep. 94 (1983) 313.
8. E. K. Sklyanin: Funkt. Anal. Appl. 21 (1987) 164.
9. E. K. Sklyanin: J. Phys. A 21 (1988) 2375.
10. V. I. Inozemtsev: Commun. Math. Phys. 121 (1989) 629.
11. A. V. Tsiganov: J. Phys. A 27 (1994) 6759.
12. V. B. Kuznetsov, M. F. Jøgensen and P. L. Christiansen: J. Phys. A 28 (1995) 4639.
13. V. B. Kuznetsov. J. Math. Phys. 31 (1990) 1167.
14. V. Pasquier: Quantum Field Theory and Condensed Matter Physics, ed. S. Randjbar-Daemi and Y. Lu (World Scientific, Singapore, 1994).
15. K. Hikami: J. Phys. A 28 (1995) 4053.
16. L. D. Faddeev and L. A. Takhtajan: Hamiltonian Methods in the Theory of Solitons (Springer-Verlag. Berlin, 1987).
17. L. D. Faddeev: Int. J. Mod. Phys. A 10 (1995) 1845.
18. P. P. Kulish and E. K. Sklyanin: Integrable Quantum Field Theories, Lecture Notes in Physics 151, ed. J. Hietarinta and C. Montonen (Springer-Verlag, Berlin. 1982).
19. G. N. Yang and C. P. Yang: J. Math. Phys. 10 (1969) 1115.
20. R. J. Baxter: Exactly Solved Models in Statistical Mechanics (Academic Press, London, 1982).
21. H. M. Babujian: Nucl. Phys. B 215 (1983) 317.
22. K. Sogo: Phys. Lett. A 104 (1984) 51.
23. K. Hikami: Phys. Lett. A 205 (1995) 167.
24. F. C. Alcaraz, M. N. Barber, M. T. Batchelor, R. J. Baxter and G. R. W. Quispel: J. Phys. A 20 (1987) 6397.
25. V. Pasquier and H. Saleur: Nucl. Phys. B 330 (1990) 523.
26. L. Mezincescu, R. I. Nepomechie and V. Rittenberg: Phys. Lett. A 147 (1990) 70.
27. A. B. Zamolodchikov and Al. B. Zamolodchikov: Ann. Phys. 120 (1979) 253.
28. S. Ghoshal and A. Zamolodchikov: Int. J. Mod. Phys. A 9 (1994) 3841.
29. H. W. Braden, E. Corrigan, P. E. Dorey and R. Sasaki: Nucl. Phys. B 338 (1990) 689.
30. E. Corrigan, P. E. Dorey, R. H. Rietdijk and R. Sasaki: Phys. Lett. B 333 (1994) 83.
31. S. N. M. Ruijsenaars: Commun. Math. Phys. 133 (1990) 217.
32. O. Ragnisco and M. Bruschi: Inverse Problems 5 (1989) 389.
33. Yu. B. Suris: Phys. Lett. A 180 (1993) 419.
34. V. B. Kuznetsov and A. V. Tsiganov: hep-th/9402111 (1994).