GE

გიორგი ჯორჯაძე

29 მარტი 2013

პოზიცია: პროფესორი

ელფოსტა: g.jorjadze@freeuni.edu.ge

 

განათლება

09/1970 – 06/1975 თსუ–ის ფიზიკის ფაკულტეტის სტუდენტი.

12/1974 – 05/1975 დიპლომზე მუშაობა, მაღალი ენერგიების ფიზიკის ინსტიტუტი, პროტვინო.

06/1975 დიპლომის დაცვა, თსუ–ის ფიზიკის ფაკულტეტი.დიპლომის თემა: „სიმეტრიების დარღვევა სუსტ ურთიერთქმედებებში".

11/1975 – 11/1978 ასპირანტი, სტეკლოვის მათემატიკის ინსტიტუტი, მოსკოვი.

02/1981 დისერტაციის დაცვა, სტეკლოვის მათემატიკის ინსტიტუტი, მოსკოვი. საკანდიდატო დისერტაცის თემა:"ლიუვილის განტოლების რეგულარული და სინგულარული ამოხსნები".

02/1997 სადოქტორო დისერტაციის დაცვა; თსუ–ის ფიზიკის ფაკულტეტი. დისერტაციის თემა:"ჰამილტონური რედუქცია და დაკვანტვა სიმპლექტურ მრავალსახეობებზე".

 

სასწავლო კურსები

ზოგადი ფიზიკის მათემატიკური მეთოდები

მათემატიკური ანზლიზი

თეორიული მექანიკა

ველის თეორია

კვანტური მექანიკა

თეორიული ფიზიკის მათემატიკური მეთოდები

ველის კვანტური თეორია

 

პუბლიკაციების ჩამონათვალი

სამაცნიერო სტატიების რაოდენობა – 66;
რეფერირებად ჟურნალებში – 45, კონფერენციის მასალებში – 17, პრეპრინტები – 4.

 

The list of publications of George Jorjadze International refereed journals

  1. Quantization of AdS × S particle in static gauge. George Jorjadze, Chrysostomos Kalousios, Zurab Kepuladze. Class. Quant. Grav. 30 (2013)025015 [arXiv:1208.3833 [hep-th]].
  2. Bosonic string quantization in static gauge. George Jorjadze, Jan Plefka, Jonas Pollok. J. Phys. A 45 (2012) 485401 [arXiv:1207.4368 [hep-th]].
  3. Coordinate representation of particle dynamics in AdS and in generic static spacetimes. Harald Dorn, George Jorjadze, Chrysostomos Kalousios, Jan Plefka. J. Phys. A 44 (2011) 095402 [arXiv:1011.3416 [hep-th]].
  4. Vacuum type space-like string surfaces in AdS_3×S^3. H. Dorn, G. Jorjadze, C. Kalousios, L. Megrelidze, S. Wuttke. J. Phys. A 44 (2011) 025403 [arXiv: 1007.1204 [hep-th]].
  5. Space-like minimal surfaces in AdS × S. H. Dorn, N. Drukker, G. Jorjadze, C. Kalousios. JHEP 1004, 004 (2010) [arXiv: 0912.3829 [hep-th]].
  6. Singular Liouville _elds and spiky strings in R^1,2and SL(2,R). G. Jorjadze. JHEP 0910, 092 (2009) [arXiv:0909.0350 [hep-th]].
  7. On spacelike and timelike minimal surfaces in AdS_n. H. Dorn, G. Jorjadze, S. Wuttke. JHEP 0905, 048 (2009) [arXiv:0903.0977 [hep-th]].
  8. Operator approach to boundary Liouville theory. H. Dorn, G. Jorjadze. Annals Phys. 323, 2799 (2008) [arXiv:0801.3206 [hep-th]].
  9. Boundary Liouville theory: Hamiltonian description and quantization. H. Dorn, G. Jorjadze. SIGMA 3, 012 (2007) [arXiv:hep-th/0610197].
  10. A causal algebra for Liouville exponentials. C. Ford, G. Jorjadze. Class. Quant. Grav. 23, 6007 (2006) [arXiv:hep-th/0512018].
  11. Massless scalar particle on AdS spacetime: Hamiltonian reduction and quantization. H. Dorn, G. Jorjadze. JHEP 0605, 062 (2006) [arXiv:hep-th/0508072].
  12. Oscillator quantization of the massive scalar particle dynamics on AdS spacetime. H. Dorn, G. Jorjadze. Phys. Lett. B 625, 117 (2005) [arXiv:hep-th/0507031].
  13. On particle dynamics in AdSN+1 space-time. H. Dorn, G. Jorjadze. Fortsch. Phys. 53, 486 (2005) [arXiv:hep-th/0502081].
  14. The Liuville _eld theory zero mode problem. G. Jorjadze, G. Weigt. Theor. Math. Phys. 139, 654 (2004) [arXiv:hep-th/0207041].
  15. S-Matrix, vertex operators and correlation functions of Liouville theory. G. Jorjadze. Fortschr. Phys. 52, 555 (2004).
  16. Correlation functions and vertex operators of Liouville theory. G. Jorjadze, G. Weigt. Phys. Lett. B 581, 133 (2004) [arXiv:hep-th/0311202].
  17. Quantisation of gauged SL(2,R)WZNW theories. G. Jorjadze, G. Weigt. Fortsch. Phys. 51, 753 (2003) [arXiv:hep-th/0303132].
  18. Poisson structure and Moyal quantisaton of the Liouville theory. G. Jorjadze, G. Weigt. Nucl. Phys. B 619, 232 (2001) [arXiv:hep-th/0105306].
  19. Causal Poisson brackets of the SL(2,R) WZNW model and its coset theories. C. Ford, G. Jorjadze, G. Weigt. Phys. Lett. B 514, 413 (2001) [arXiv:hep-th/0106060].
  20. Integration of the SL(2,R)/U(1) gauged WZNW theory by reduction and quantum parafermions. C. Ford, G. Jorjadze, G. Weigt. Theor. Math. Phys. 128, 1046 (2001) [arXiv:hep-th/0003246].
  21. Gauge invariant reduction and integrability of SL(2,R)/U(1) WZNW theory. C. Ford, G. Jorjadze, G. Weigt. Turk. J. Phys. 24, 311 (2000).
  22. Canonical quantisation of the SL(2,R)/U(1) gauged WZNW black hole model. C. Ford, G. Jorjadze, G. Weigt. Turk. J. Phys. 24, 319 (2000).
  23. Particle dynamics on hyperboloid and unitary representation of SO(1,N) group. G. Jorjadze, W. Piechocki. Phys. Lett. B 476, 134 (2000) [arXiv:gr-qc/9912006].
  24. Particle in curved 2d spacetime. G. Jorjadze, W. Piechocki. Lect. Notes Phys. 539, 245 (2000).
  25. Massless particle in 2d spacetime with constant curvature. G. Jorjadze, W. Piechocki. Phys. Lett. B 448, 203 (1999) [arXiv:hep-th/9812199].
  26. Geometry of 2d spacetime and quantization of particle dynamics. G. Jorjadze, W. Piechocki. Phys. Lett. B 461, 183 (1999) [arXiv:gr-qc/9811094].
  27. Relativistic particle in the Liouville field. G. Jorjadze, W. Piechocki. Theor. Math. Phys. 118, 183 (1999) [arXiv:hep-th/9709059].
  28. Dynamical ambiguities in singular gravitational field. G. Jorjadze, W. Piechocki. Class. Quant. Grav. 15, L41 (1998) [arXiv:gr-qc/9709074].
  29. Hamiltonian reduction and quantization on symplectic manifolds. G. Jorjadze. Memoirs on Differential Equations and Mathematical Physics 13, 1 (1998).
  30. Constrained quantization on symplectic manifolds and quantum distribution functions. G. Jorjadze. J. Math. Phys. 38 (1997) 2851 [arXiv:hep-th/9606162].
  31. Practical scheme of reduction to gauge invariant variables. G. Chechelashvili, G. Jorjadze, N. Kiknadze. Theor. Math. Phys. 109, 1316 (1997) [arXiv:hep-th/9510050].
  32. Quantization of a relativistic particle on the SL(2,R) manifold. based on Hamiltonian reduction. G. Jorjadze, L. O'Raifeartaigh, I. Tsutsui. Phys. Lett. B 336, 388 (1994) [arXiv:hep-th/9407059].
  33. Symmetry groups in the extended quantization scheme. G. P. Jorjadze, I. T. Sarishvili. Theor. Math. Phys. 93, 1239 (1992).
  34. Quantization scheme based on the extension of phase space. G. Jorjadze, G. Lavrelashvili, I. Sarishvili. J. Phys. A 26, 751 (1993).
  35. On representation of symmetry group transformation operators in the interaction picture. G. P. Jorjadze, A. N. Kvinikhidze, A. M. Khvedelidze. Theor. Math. Phys. 73, 1239 (1987).
  36. Liouville _eld theory: IST and Poisson bracket structure. G. P. Jorjadze, A. K. Pogrebkov, M. C. Polivanov, S. V. Talalov. J. Phys. A 19, 121 (1986).
  37. Hamiltonian description of singular solutions of the Liouville equation. G. P. Jorjadze. Theor. Math. Phys. 65, 1189 (1985).
  38. Regular solutions of the Liouville equation. G. P. Jorjadze. Theor. Math. Phys. 41, 867 (1979).
  39. Singular solutions of the equation ⊡φ + (m^2/2) exp φ = 0. and the dynamics of singularities. G. P. Jorjadze, A. K. Pogrebkov, M. C. Polivanov. Theor. Math. Phys. 40, 706 (1979).
  40. On the global solutions of the Cauchy problem for the Liouville equation. G. P. Jorjadze, A. K. Pogrebkov, M. C. Polivanov. Dokl. Akad. Nauk. SSSR 243, 318 (1978).

 

National refereed journals

  1. On particle type string solutions AdS_3×S^3. George Jorjadze, Zurab Kepuladze, Luka Megrelidze. Proceedings of A Razmadze Mathematical Institute, 159 (2012) 43-59 [arXiv:1209.3997 [math-th]].
  2. Roots from the phase operators. G.P. Jorjadze, I.T. Sarishvili. Georgian Math. Journal 2, 37 (1995).
  3. Finite dimensional relativistic system with spin. D. N. Gordeziani, G. P. Jorjadze, I. T. Sarishvili. Bulletin of the Academy of Sciences of the Georgian SSR 134, 525 (1989).
  4. On one explicitly solvable model of interaction between a particle and a field. G. P. Jorjadze. Bulletin of the Academy of sciences of the Georgia SSR 116, 73 (1984).
  5. Asymptotic variables for the Liouville equation. G. P. Jorjadze. Bulletin of the Academy of Sciences of the Georgia SSR 115, 53 (1984).

 

Contributions to conference proceedings

  1. Joint description of periodic SL(2,R) WZNW model and its coset theories. G. Jorjadze, G. Weigt. 24th International Colloquium On Group Theoretical Methods In Physics: Group-24: (ICGTMP 2002) 15-20 July 2002, Paris, France; arXiv:hep-th/0303130.
  2. Massless particle in 2d spacetime with constant curvature. G. Jorjadze, W. Piechocki. Proceedings of the International Workshop ISPM, Tbilisi, September 1998. Published by Annecy LAAP, ENSLAAP 1999.
  3. Liouville field theory and 2d Gravity. G. Jorjadze. Proceedings of the 10th International Seminar "Quarks-98", Institute for Nuclear Research of the Russian Academy of Sciences, Moscow 1999.
  4. Relativistic Particle in Singular Gravitational Field. G. Jorjadze, W. Piechocki. Proc. Inter. Conf. "Particles, Fields and Gravitation", Lodz, Poland, April 1998, Ed. J. Rembielinski. p.472, (AIP Proceedings 453, Woodbry-New York) 1998.
  5. Dilaton field and massless particle for 2d gravity. G. Chechelashvili, G. Jorjadze. Proceedings of the International Workshop ISPM, Tbilisi, September 1998. Published by Annecy LAAP, ENSLAAP 1999. arXiv:hep-th/9908206.
  6. Global properties of 2d spacetime and quantization. G. Jorjadze, W. Piechocki. Proceedings of XVII Workshop on Geometric methods in Physics, Bialowieza, Poland, July 1998 (Warsaw University Press, 2001), p.181.
  7. The quantum metric on a phase space. G. Jorjadze. Proceedings of the Workshop Simi-96, Tbilisi, September 21-28, Published by Annecy LAAP, ENSLAPP A-642/97, 1997.
  8. The quantization of one mode string. D. N. Gordeziani, G. P. Jorjadze, I. T. Sarishvili. Proceedings of the International Seminar "Quarks'90", Telavi, 14-19 May 1990, 267-276, World Scientific 1991.
  9. Approximation of relativistic strings. D. N. Gordeziani, G. P. Jorjadze, I. T. Sarishvili. Proc. of the XI workshop "Problems on High Energy Physics and Field Theory", Protvino, July 5-9 1988, 69-72, Moscow 1989.
  10. Representation of S-matrix in the functional integral formulation. G. P. Jorjadze, A. N. Kvinikhidze, G. A. Chechelashvili. Proceedings of VIII International Conference on Quantum Field Theory Problems, Alushta, 1987.
  11. Quantum theory of a finite-mode string. D. N. Gordeziani, G. P. Jorjadze, I. T. Sarishvili. Proc. of the X workshop "Problems on High Energy Physics and Field Theory", Protvino, July 6-12 1987, 124-131, Moscow 1988.
  12. On the one class of the Poincare-covariant finite dimensional systems. D. N. Gordeziani, G. P. Jorjadze, I. T. Sarishvili. Proceedings of the symposium "Modern Problems of Mathematical Physics", Tbilisi, 22-25, April 1987, 191-198, Tbilisi 1987.
  13. Finite dimensional approximation of the relativistic string and critical dimensions. D. N. Gordeziani, G. P. Jorjadze, G. G. Tsitsishvili. Proceedings of the seminar "Quarks-86", Tbilisi, 15-17 April 1986, 173-177, Moscow 1987.
  14. Boundary conditions for the open relativistic string. D. Gordeziani, G. Jorjadze. Proceedings of the XI Conference of Georgian Mathematicians, Kutaisi, 28-30 May 1986, 195-196, Tbilisi 1986.
  15. On the commutation relations in quantum mechanics. G. Jorjadze. Proceedings of the X Conference of Georgian Mathematicians, Telavi, 9-12 November 1983, 65-66, Tbilisi 1983.
  16. Liouville equation as a model of field theory. G. P. Jorjadze. Proceedings of the V Conference of Young scientists, Sevan, 22-24 September 1981, 28-29, Yerevan Physics Institute 1981.
  17. Global solution of the Liouville equation in the one class of generalized functions. G. P. Jorjadze, A. K. Pogrebkov, M. C. Polivanov. Proceedings of International Conference "Generalized Functions and Their Application in Mathematical Physics", Moscow, 24-28 November 1980, 219-222, Moscow 1981.

Internal reports

  1. Constrained dynamical systems and geometric quantization. G. Jorjadze, G. Lavrelashvili, I. Sarishvili. Preprint TMI P-05, Tbilisi, 32pp, 1991.
  2. Phase operator and statistics. G. Jorjadze, I. Sarishvili. Preprint TMI P-02, Tbilisi, 11pp, 1991.
  3. Finite-mode Poincare-covariant systems. D. N. Gordeziani, G. P. Jorjadze, I. T. Sarishvili. Preprint IHEP 88-46, Serpukhov, 18pp, 1988.
  4. On the solutions with singularities of the Liouville equation ⊡φ+(m^2/2) exp φ = 0. G. P. Jorjadze, A. K. Pogrebkov, M. C. Polivanov. Preprint IC/78/126, Trieste, 19pp, 1978.