Laboratory of the Quantum Field Theory

 

Director of laboratory: Dr. Sc., A. E. Shalyt-MargolinA�(alexm@hep.by)
Personal webpage

 

Basic area of research:

A?A�A�A�A�The quantum field theory;

A?A�A�A�A�Dirac-Kahler Equation;

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

A?A�A�A�A�Quantum cosmology;

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

A? A� A�Dark Energy Problem.

Main Publications

 

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

2.A�A�A�A�A�A.E.Margolin, V.A�I.A�StrazhevA�& A.A�Ya.A�Tregubovich. On non-adiabaticA�holonomicA�quantumA�computer // Phys.A�Lett.A�A.-A�V. 312, N5-6.- 2003.-p.296-300.

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

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

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

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

7.A�A�A�A�A�A.E.A�Shalyt-Margolin. The universe as aA�nonuniformA�lattice in finite-volumeA�hypercubeA�I.A�Fundamental definitions and particular features // Int. J. Mod.Phys.-2004.-Vol.13.-p.853-863.

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

9.A�A�A�A�A�A.E.Shalyt-Margolin,A�TheA�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.,A�Hauppauge,A�NY,2005)}

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

11. A.E.Shalyt-Margolin, Deformed Density Matrix and Quantum Entropy of the Black Hole, A�EntropyA�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. 357a��381.

16. A.E. Shalyt-Margolin, Entropy in the present and early universe and vacuum energy (2010), AIP Conference Proceedings, 1205, pp. 160 a��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.A�A�A�A�A�The operators and fields studied in a quantum field theory with indefinite metric have been considered. For positive solution of theA�unitarityA�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 theA�noncompactA�semisimpleA�internal symmetry group in space with indefinite metric. It has been shown that this theory possesses an additional discrete symmetry specifying theA�superselectionA�operator.

2.A�A�A�A�A�For aA�noncompactA�quantum sigma-model the Goldstone and low-energy theorems have been proved, and Green functions have been described as compared to theA�compactifiedA�sigma-model. The required condition for the reduction ofA�chiralA�anomalies has been established.

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

4.A�A�A�A�A�A method to calculateA�WilczekA�- Zee potential for a quantum system withA�semisimpleA�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 theA�nonadiabaticA�BerryA�phase in quantum computations. In the process the quantum gates have been described explicitly, and control parameters have been determined.

5.A�A�A�A�A�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 A�geometryA�considered in aA�semiclassicalapproximation, where the state space of the theory is a space with indefinite metric.

6.A�A�A�A�A�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 isA�redeterminedA�at Plancks scales. Some inferences of this approach have been obtained.

7. A� A�It is developed the new approach to Dark Energy Problem solution.