ÞÉÒÉÈÀÃÉ ÓÀÌÄÝÍÉÄÒÏ ÍÀÛÒÏÌÄÁÉÓ ÍÖÓáÀ

(i) ÌÏÍÏÂÒÀ×ÉÄÁÉ

  1. Hamiltonian reduction and quantization on symplectic manifolds. Mem. Differential Equations Math. Phys. 13 (1998), 1-98.

(ii) ÓÀÌÄÝÍÉÄÒÏ ÓÔÀÔÉÄÁÉ

  1. Global solutions of the Cauchy problem for the Liouville equation  (with A. K. Pogrebkov and M. K. Polivanov). (Russian) Dokl. Akad. Nauk SSSR 243 (1978), No. 2, 318-320.

  2. On the solutions with singularities of the Liouville equation (with A. K. Pogrebkov and M. C. Polivanov). Preprint IC/78/126, Trieste, p.19, 1978.

  3. Singular solutions of the equation  and the dynamics of singularities (with A. K. Pogrebkov and M. K. Polivanov). (Russian) Teoret. Mat. Fiz. 40 (1979), No. 2, 221-234.

  4. Regular solutions of the Liouville equation. (Russian) Teoret. Mat. Fiz. 41 (1979), No. 1, 33-39.

  5. Liouville equation as a model of field theory. Proceedings of the V Conference of Young scientists (Sevan, September 22-24, 1981), pp. 28-29, Erevan Physics Institute, 1981.

  6. Global solution of the Liouville equation in the one class of  generalized functions (with A. K. Pogrebkov and M. C. Polivanov). Proceedings of International Conference “Generalized Functions and Their Application in Mathematical Physics” (Moscow, November 24-28, 1980), pp. 219-222, Moscow, 1981.

  7. On the commutation relations in quantum mechanics. Proceedings of the X Conference of Georgian Mathematicians (Telavi, November, 9-12, 1983), pp. 65-66, Tbilisi, 1983.

  8. Asymptotic variables for the Liouville equation. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 115 (1984), No. 1, 53-56.

  9. An explicitly solvable model of interaction of a particle with a field. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 116 (1984), No. 1, 73-76.

  10. Hamiltonian description of singular solutions of the Liouville equation. (Russian) Teoret. Mat. Fiz. 65 (1985), No. 3, 323-333.

  11. Liouville field theory: IST and Poisson bracket structure (with A. K. Pogrebkov, M. C. Polivanov and S. V. Talalov). J. Phys. A 19 (1986), No. 1, 121-139.

  12. Boundary conditions for the open relativistic string (with D. Gordeziani). Proceedings of the XI Conference of Georgian Mathematicians (Kutaisi, May 28-30, 1986), pp. 195-196, Tbilisi, 1986.

  13. Finite dimensional approximation of the relativistic  string  and  critical dimensions (with D. N. Gordeziani and G. G. Tsitsishvili). Proceedings of the seminar “Quarks-86(Tbilisi, April 15-17, 1986), pp. 173-177, Moscow,1987.

  14. On the one class of the Poincare-covariant finite dimensional systems (with D. N. Gordeziani and I. T. Sarishvili). Proceedings of the symposium “Modern Problems of the Mathematical Physics” (Tbilisi, April 22-25, 1987), pp. 191-198, Tbilisi,1987.

  15. Representation of S-matrix in the functional integral formulation (with A. N. Kvinikhidze and G. A. Chechelashvili). Proceedings of VIII International Conference on Quantum Field Theory Problems, Alushta, 1987.

  16. Quantum theory of the finite-mode string (with D. N. Gordeziani and I. T. Sarishvili). Proceedings of the X workshop “Problems on High Energy Physics and Field Theory” (Protvino, July 6-12, 1987), pp. 124-131, Moscow, 1988.

  17. Finite-mode Poincare-covariant systems (with D. N. Gordeziani and I. T. Sarishvili). Preprint IHEP 88-46, Serpukhov, p.18, 1988.

  18. Finite dimensional relativistic system with spin (with D. N. Gordeziani and I. T. Sarishvili). Soobshch. Akad. Nauk Gruzin. SSR 134 (1989), No. 3, 525.

  19. Approximation of the relativistic strings (with D. N. Gordeziani and I. T. Sarishvili), Proceedings of XI workshop “Problems on High Energy Physics and Field Theory” (Protvino, July 5-9 1988), pp. 69-72, Moscow, 1989.

  20. Phase operator and statistics (with I. Sarishvili). Preprint TMI P-02, Tbilisi, p.11, 1991.

  21. Constrained dynamical systems and geometric quantization (with G. Lavrelashvili and I. Sarishvili). Preprint TMI P-05, Tbilisi, p.32, 1991.

  22. The quantization of one mode string (with D. N. Gordeziani and I. T. Sarishvili). Proceedings of the International Seminar “Quarks'90 (Telavi, May 14-19, 1990), pp. 267-276, World Scientific 1991.

  23. Symmetry groups in the extended quantization scheme (with I. T. Sarishvili). (Russian) Teoret. Mat. Fiz. 93 (1992), No. 2, 231-248; English transl.: Theoret. and Math. Phys. 93 (1992), No. 2, 1239-1250.

  24. Quantization scheme based on the extension of phase space (with G. Lavrelashvili and I. Sarishvili)). J. Phys. A 26 (1993), No. 3, 751-763.

  25. Quantization of a relativistic particle on the SL(2,R) manifold based on Hamiltonian reduction (with L. O’Raifeartaigh and I. Tsutsui). Phys. Lett. B 336 (1994), No. 3-4, 388-394.

  26. Roots of the phase operators (with I. Sarishvili). Georgian Math. J. 2 (1995), No. 1, 37-43.

  27. Practical scheme of reduction to gauge-invariant variables (with G. Chechelashvili and N. Kiknadze). Teoret. Mat. Fiz. 109 (1996), No. 1, 90-106; English transl.: Theoret. and Math. Phys. 109 (1996), No. 1, 1316-1328.

  28. Constrained quantization on symplectic manifolds and quantum distribution functions. J. Math. Phys. 38 (1997), No. 6, 2851-2879.

  29. The quantum metric on a phase space. The Proceedings of the Workshop Simi-96 (Tbilisi, September 21-28), ENSLAPP A-642/97, 1997.

  30. Dynamical ambiguities in a singular gravitational field (with W. Piechocki). Classical Quantum Gravity 15 (1998), No. 5, L41-L45.

  31. Relativistic particle in singular gravitational field (with W. Piechocki). Particles, fields, and gravitation (Łódź, 1998), 472-477, AIP Conf. Proc., 453, Amer. Inst. Phys., Woodbury, NY, 1998.

  32. Liouville field theory and 2d Gravity. Proceedings of the 10th International Seminar “Quarks-98, Institute for Nuclear Research of the Russian Academy of Sciences, Moscow, 1999.

  33. A relativistic particle in the Liouville field (with W. Piechocki). (Russian) Teor. Mat. Fiz. 118 (1999), No.2, 229-247; English transl.: Theor. Math. Phys. 118 (1999), No. 2, 183-196.

  34. Geometry of 2d spacetime and quantization of particle dynamics (with W. Piechocki). Phys. Lett. B 461 (1999), No. 3, 183-188.

  35. Massless particle in 2d spacetime with constant curvature (with W. Piechocki). Phys. Lett. B 448 (1999), No. 3-4, 203-208.

  36. Particle dynamics in the Liouville field and 2d gravity (with G. Chechelashvili). Proceedings of the International Workshop ISPM (Tbilisi, September, 1998), Annecy LAAP, ENSLAAP-99, 1999, hep-th/9908206.

  37. Massless particle in 2d spacetime with constant curvature (with W. Piechocki). Proceedings of the International Workshop ISPM (Tbilisi, September, 1998), Annecy LAAP, ENSLAAP-99, 1999.

  38. Particle in curved 2d space-time (with W. Piechocki). Theoretical physics. Fin de siècle (Wrocł aw, 1998), 245-250, Lecture Notes in Phys., 539, Springer, Berlin, 2000.

  39. Particle dynamics on hyperboloid and unitary representation of SO(1,N) group (with W. Piechocki). Phys. Lett. B 476 (2000), No. 1-2, 134-140.

  40. Gauge invariant reduction and integrability of SL(2,R)/U(1) WZNW theory (with C. Ford and G. Weigt). Turk. J. Phys. 24 (2000), 311.

  41. Canonical buantisation of the SL(2,R)/U(1) gauged WZNW black hole model (with C. Ford and G. Weigt). Turk. J. Phys. 24 (2000), 319.

  42. Global properties of 2d spacetime and quantization (with W. Piechocki). Proceedings of XVII Workshop on Geometric methods in Physics, (Bialowieza, Poland, July 1998), Warsaw University Press, 2001, p. 181.

  43. Integration of the SL(2,R)/U(1) gauged WZNW theory by reduction and quantum parafermions (with C. Ford and G. Weigt). Teor. Mat. Fiz.128 (2001) 249; English transl.: Theor. and Math. Phys.128 (2001), 1046.

  44. Causal Poisson brackets of the SL(2,R) WZNW model and its coset theories (with C. Ford and G. Weigt). Phys. Lett. B 514 (2001), No. 3-4, 413-416.

  45. Poisson structure and Moyal quantisation of the Liouville theory (with G. Weigt). Nuclear Phys. B 619 (2001), No. 1-3, 232-256.

  46. Quantisation of gauged SL(2,R) WZNW theories (with G. Weigt). Proceedings of the 35th International Symposium Ahrenshoop on the Theory of Elementary Particles (Berlin-Schmöckwitz, 2002). Fortschr. Phys. 51 (2003), No. 7-8, 753-758.

  47. Zero Mode problem of Liuville field theory (with G. Weigt). hep-th/0207041, to be published in TMF.

  48. Joint description of periodic SL(2,R) WZNW model and its coset theories (with G. Weigt). 24th International Colloquium On Group Theoretical Methods In Physics: GROUP-24: (ICGTMP 2002, July 15-20, 2002), Paris, France, hep-th/0303130.

  49. Correlation functions and vertex operators of Liouville theory (with G. Weigt). Phys.Lett. B, hep-th/0311202 (to appear).

  50. S-matrix, vertex operators and correlation functions of Liouville theory. Fortschr. Phys. (Submitted).