A three-dimensional quantum integrable mapping

Theoretical and Mathematical Physics

Volumn 118, Issue 3, 1999, Pages 378-384

  Sergeev, S M ^a  

^a INSTITUTE FOR NUCLEAR RESEARCH   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033241572     PISSN: 00405779     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02557336     Document Type: Article

References (14)

1. 1. J.-M. Maillet and F. W. Nijhoff, "Multidimensional lattice integrability and the simplex equations," in: Proc. Como Conf. Nonlinear Evolution Equations: Integrability and Spectral Methods (A. Degasperis, A. P. Fordy, and M. Lakshmanan, eds.), Manchester Univ. Press, Manchester (1990), p. 537.
2. 2. J.-M. Maillet and F. W. Nijhoff, Phys. Lett. B, 224, 389 (1989).
3. 3. J.-M. Maillet, Nucl. Phys. B. (Proc. Suppl.), 18, 212 (1990).
4. 4. S. M. Sergeev, Lett. Math. Phys., 45, No. 2, 113 (1998).
5. 5. S. M. Sergeev, "On a two-dimensional system associated with the complex of the solutions of the tetrahedron equation," Preprint solv-int/9709013 (1997); to appear in Int. J. Mod. Phys. A.
6. 6. S. M. Sergeev, "3D symplectic map," Preprint solv-int/9802012 (1998).
7. 7. I. G. Korepanov and S. M. Sergeev, "Eigenvector and eigenvalue problem for 3d bosonic model," Preprint solv-int/9802014 (1998).
8. 8. L. Faddeev and A. Yu. Volkov, Lett. Math. Phys., 32, 125 (1994).
9. 9. L. D. Faddeev and A. Yu. Volkov, "Algebraic quantization of integrable models in discrete space-time," Preprint hep-th/9710039 (1997).
10. 10. R. M. Kashaev and N. Yu. Reshetikhin, Commun. Math. Phys., 188, 251 (1997).
11. 11. L. D. Faddeev and R. M. Kashaev, Mod. Phys. Lett. A, 9, 427 (1994).
12. 12. S. M. Sergeev, V. V. Mangazeev, and Yu. G. Stroganov, J. Stat. Phys., 82, No. 1/2, 31 (1996).
13. 13. S. M. Sergeev, "Operator solutions of simplex equations," in: Proc. 10th Intl. Conf. "Problems of Quantum Field Theory," (Alushta, 13-18 May 1996), JlNR, Dubna (1997), p. 154.
14. 14. J.-M. Maillard and S. M. Sergeev, Phys. Lett. B, 405, 55 (1997).