Laboratory of the Quantum Field Theory


Director of laboratory: Dr. Sc., A. E. Shalyt-MargolinAi??(
Personal webpage


Basic area of research:

A?Ai??Ai??Ai??Ai??The quantum field theory;

A?Ai??Ai??Ai??Ai??Dirac-Kahler Equation;

A?Ai??Ai??Ai??Ai??The quantum theory of computations;

A?Ai??Ai??Ai??Ai??Quantum cosmology;

A?Ai??Ai??Ai??Ai??Physics of black holes and Early Universe.

A? Ai?? Ai??Dark Energy Problem.

Main Publications


1.Ai??Ai??Ai??Ai??Ai??A.E.Shalyt-Margolin,Ai??V.I.Strazev,Ai??A.Ya.Tregubovich. Geometric phases and quantum computations // Phys.Ai??Lett. A.- 2002.- V. 303.- N 2-3.- p. 131-134.

2.Ai??Ai??Ai??Ai??Ai??A.E.Margolin, V.Ai??I.Ai??StrazhevAi??& A.Ai??Ya.Ai??Tregubovich. On non-adiabaticAi??holonomicAi??quantumAi??computer // Phys.Ai??Lett.Ai??A.-Ai??V. 312, N5-6.- 2003.-p.296-300.

3.Ai??Ai??Ai??Ai??Ai??E.Ai??Shalyt-Margolin, V. I.Ai??StrazhevAi??& A.Ai??Ya.Ai??Tregubovich. On Geometric Realization of Quantum Computations in Externally Driven 4-Level System // Optics and Spectroscopy.-Ai??V.94, N5.- 2003.- p. 789 Ai??791.

4.Ai??Ai??Ai??Ai??Ai??A.E.Shalyt-MargolinAi??andAi??J.G.Suarez. Quantum Mechanics at Planck’s scale and Density Matrix // Int. J. Mod.Phys.-D.12.-2003.-Ai??p.1265 – 1278.

5.Ai??Ai??Ai??Ai??Ai??A.E.Shalyt-Margolin,Ai??A.Ya.Tregubovich. Deformed density matrix and generalized uncertainty relation in thermodynamics // Mod. Phys.Ai??Lett.Ai??A.-Ai??2004.-Vol.19.-p.71-81.

6.Ai??Ai??Ai??Ai??Ai??A.E.Shalyt-Margolin. Non-unitary and unitary transitions in generalizedAi??quantum Ai??mechanics, new small parameter and information problem solving // Mod. Phys.Ai??Lett. A. – 2004.-Vol.19.-p 391-403.

7.Ai??Ai??Ai??Ai??Ai??A.E.Ai??Shalyt-Margolin. The universe as aAi??nonuniformAi??lattice in finite-volumeAi??hypercubeAi??I.Ai??Fundamental definitions and particular features // Int. J. Mod.Phys.-2004.-Vol.13.-p.853-863.

8.Ai??Ai??Ai??Ai??Ai??A.E.Ai??Shalyt-Margolin. Pure states, mixed states and Hawking problem in generalized quantum mechanics // Mod. Phys.Ai??Lett. A. – 2004.-Vol.19.-p 2037-2045.

9.Ai??Ai??Ai??Ai??Ai??A.E.Shalyt-Margolin,Ai??TheAi??Density Matrix Deformation in Physics of the Early Universe and Some of its Implications, “Quantum Cosmology Research Trends. Horizons in World Physics, Volume 246,p.p.49–91″ (Nova Science Publishers, Inc.,Ai??Hauppauge,Ai??NY,2005)}

10.Ai??A.E.Shalyt-Margolin, The Universe as aAi??NonuniformAi??Lattice in Finite-Volume Ai??Hypercube. Ai??II. Simple Cases of Symmetry Breakdown and Restoration \\Intern.Journ.of Mod. Phys. Ai??A. Ai?? 2005.-Ai??Vol. 20. p. 4951-4964.

11. A.E.Shalyt-Margolin, Deformed Density Matrix and Quantum Entropy of the Black Hole, Ai??EntropyAi??2006. 8 [1], p. 31–43

12. A. E. Shalyt-Margolin, Entropy in the Present and Early Universe// Symmetry: Culture and Science, 18 (2007), 4, 299-320

13. A. E. Shalyt-Margolin, V. I. Strazhev and A. Ya. Tregubovich, Irreversibility in the halting problem of quantum computer, Modern Physics Letters B, Vol. 21, (2007), p.p. 977-980.

14. A. E. Shalyt-Margolin,V.I. Strazhev, A. Ya. Tregubovich, Application of Geometric Phase in Quantum Computations// Chapter 5 in High Energy Physics Research Advances, p.p.111–135, Nova Science Publishers,2008

15. A. E. Shalyt-Margolin, V. I. Strazhev and A. Ya. Tregubovich, Application of Geometric Phase in Quantum Computations, International Journal of Computer Research 2009, v.15, pp. 357ai??i??381.

16. A.E. Shalyt-Margolin, Entropy in the present and early universe and vacuum energy (2010), AIP Conference Proceedings, 1205, pp. 160 ai??i??167.

17. A.E. Shalyt-Margolin, Entropy in The Present And Early Universe: New Small Parameters And Dark Energy Problem, Entropy, 12:932-952, 2010.

Main Results

1.Ai??Ai??Ai??Ai??Ai??The operators and fields studied in a quantum field theory with indefinite metric have been considered. For positive solution of theAi??unitarityAi??problem in quantum field theory an adequate condition has been found. A self-consistent quantum theory has been constructed for Yang-Mills fields, and also for quantum sigma-models with theAi??noncompactAi??semisimpleAi??internal symmetry group in space with indefinite metric. It has been shown that this theory possesses an additional discrete symmetry specifying theAi??superselectionAi??operator.

2.Ai??Ai??Ai??Ai??Ai??For aAi??noncompactAi??quantum sigma-model the Goldstone and low-energy theorems have been proved, and Green functions have been described as compared to theAi??compactifiedAi??sigma-model. The required condition for the reduction ofAi??chiralAi??anomalies has been established.

3. Ai?? Ai?? It has been demonstrated that halting of a quantum computer in the canonical statement results in the irreversible operator.

4.Ai??Ai??Ai??Ai??Ai??A method to calculateAi??WilczekAi??- Zee potential for a quantum system withAi??semisimpleAi??symmetry group and constant energy levels has been proposed, forming the basis for the quantum computations. Two examples have been given for the application of theAi??nonadiabaticAi??BerryAi??phase in quantum computations. In the process the quantum gates have been described explicitly, and control parameters have been determined.

5.Ai??Ai??Ai??Ai??Ai??It has been established that the probabilistic interpretation takes place in quantum cosmology for the case when quantum gravitation is a topological quantum field theory, and also for a model of closed homogeneous and isotropic Universe associated with Robertson–Walker Ai??geometryAi??considered in aAi??semiclassicalapproximation, where the state space of the theory is a space with indefinite metric.

6.Ai??Ai??Ai??Ai??Ai??A new phenomenological approach to description of quantum mechanics of the early Universe (Planck scale) has been put forward, within the scope of which the density matrix isAi??redeterminedAi??at Plancks scales. Some inferences of this approach have been obtained.

7. Ai?? Ai??It is developed the new approach to Dark Energy Problem solution.