Curriculum Vitae of Yuri Palii

    July 2008
     
Personal Data  Palii Yuri Grigorievich,  
   PhD, Senior Researcher of the Laboratory of Information Technologies, JINR
   
Born:  8 June 1963, Republic of Moldova
Citizenship:  Republic of Moldova
   
Home address:

 Moskovskaya st.2, ap.616
 141980 Dubna, Moscow region, Russia
Office address:

 Laboratory of Information Technologies (LIT)
 Joint Institute for Nuclear Research (JINR), 141980 Dubna, Russia
Telephone: +7 49621 64800
Fax: +7 49621 65145
E-mail: palii@jinr.ru
   
Education    
1989 -- 1995
 Physics Department, Moldova State University,
Chisinau city, Republic of Moldova
Degrees     

1995

Masters (Diploma),
Bogoliubov Laboratory of Theoretical Physics, Dubna, Russian Federation.
Advisor: Prof. V.N. Pervushin, Dip.Thesis "Gaugeless reduction of Friedmann cosmological models ".

1999

Ph.D.(C.Sc.),
Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics,
Dubna, Russian Federation.
Advisors: Prof., Dc.V.N.Pervushin and Dc.A.M.Khvedelidze,
Phd.Thesis "Friedmann Cosmological models in Generalized Hamilton Dynamics ".
Permanent Employment  
1995 -- till now
 Staff member, Laboratory of Nuclear Physics
and Elementary particles, Institute of Applied Physics, Academy of Sciences of Moldova, Chisinau, Republic of Moldova.
   
Present Employment:
1995 -- 1998
 Unior scientific researcher,
Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research,
Dubna, Russian Federation;
1999 -- 2005
 Scientific Researcher,
Laboratory of Information Technologies, Joint Institute for Nuclear Research,
Dubna, Russian Federation.
2005- till now
Senior Researcher,
Laboratory of Information Technologies, Joint Institute for Nuclear Research,
Dubna, Russian Federation.
   
Languages:
 Russian, english.
     
Research Interests:   
  • Algebraical methods in gauge fields and group theory.
  • Unification theory of fundamental interactions.
  
 

Publications 

    1. A. Khvedelidze, Yu. Palii
      Generalized Hamiltonian Dynamics of Friedmann cosmology with scalar and spinor matter source fields.
      Classical and Quantum Gravity (Institute of Physics Publishing ) 18 9 (2001), pp. 1767-1785, ISSN 0264-9381.
      http://arxiv.org/abs/gr-qc/0103048
    2. Yu. Palii
      Functional Schrödinger Picture for Conformally Flat Space-Time with a Cosmological Constant.
      http://arxiv.org/abs/gr-qc/0104075
    3. Yu. Palii
      Numerical Integration Correction as an Optimal Control Problem (pdf-file)
      Programming and Computer Software (MAIK NAUKA/INTERPERIODICA, distributed worldwide by Springer, ISSN print 0361-7688), vol. 28, N2 pp. 84-87 (2002).
      http://www.maik.rssi.ru/abstract/procom/2/procom2_2p84abs.htm
    4. V. Gerdt, R. Horan, A. Khvedelidze, M. Lavelle, D. McMullan and Yu. Palii
      On the Hamiltonian reduction of geodesic motion on SU(3) to SU(3)/SU(2).
      Journal of Mathematical Physics (American Institute of Physics), Vol.47, No. 10, 2006, 112902 (27 pages) ISSN: 0022-2488 (print) 1089-7658 (online).
      http://arxiv.org/abs/hep-th/0511245
    5. V. Gerdt, A. Khvedelidze and Yu. Palii
      Towards an algorithmisation of the Dirac constraint formalism.
      Proceedings of the Workshop Global Integrability of Field Theories and Applications, November 1-3, 2006, Cockcroft Institute, Daresbury (UK), Eds. J.Calmet, W.M.Seiler, R.W.Tucker, ISBN 3-86644-03509 Universitatsverlag Karlsruhe 2006, pp. 135-154.
      http://arxiv.org/abs/math-ph/0611021
    6. Gerdt, V., Khvedelidze, A. and Palii, Yu.
      Deducing the constraints in the light-cone SU(3) Yang-Mills mechanics via Gröbner bases.
      Proceedings of the 10th International Workshop Computer Algebra in Scientific Computing (CASC'07), Bonn, Germany, September 16-20, 2007, Editors: Victor V. Ganzha, Ernst W. Mayr, Evgenii V. Vorozhtsov . In Ser. Lecture Notes in Computer Science, ISSN: 0302-9743 (Print) 1611-3349 (Online), Volume 4770/2007, ISBN: 978-3-540-75186-1, Bonn, Germany 2007, Springer-Verlag Berlin / Heidelberg LNCS 4770, pp. 145-159 , 2007.
      http://www.springerlink.com/content/eh2p83p633t12712/?p=7c5b353825004bfd8d0c7f1daa62c590&pi=11
    7. V. Gerdt, A. Khvedelidze and Yu. Palii
      Light-Cone Yang-Mills Mechanics: SU(2) vs. SU(3) (pdf-file)
      Theoretical and Mathematical Physics (MAIK AUKA/INTERPERIODICA, distributed worldwide by Springer, ISSN print 0040-5779) 155(1): 557-566 (2008).
    8. Yu.G. Palii and A.M. Khvedelidze
      On the Homogeneous Gröbner Basis for Tensors (pdf-file)
      Programming and Computer Software (MAIK NAUKA/INTERPERIODICA, distributed worldwide by Springer, ISSN print 0361-7688) 34 2, pp. 101-106 2008.

      July 2008
 

Conferences / Workshops reports 

  1. The Workshop Global Integrability of Field Theories and Applications,
    November 1-3, 2006, Cockcroft Institute, Daresbury (UK),
    Towards an algorithmisation of the Dirac constraint formalism
    V. Gerdt, A. Khvedelidze and Yu. Palii
  2. 11-th workshop on Computer Algebra,
    Laboratory of Information Technologies, JINR, Dubna May 24-25, 2007
    The Homogeneous Gröbner Basis for the SU(3)-gauge Mechanics
    Arsen Khvedelidze and Yuri Palii
  3. 12-th workshop on Computer Algebra,
    Laboratory of Information Technologies, JINR, Dubna May 14-16, 2008
    Towards an algorithmic construction of the ring of polynomial invariants for the
    quantum entanglement issue
    Vladimir Gerdt, Arsen Khvedelidze and Yuri Palii

 

 

MATHEMATICA Programs 

Here I present my programs in MATHEMATICA-5.0 where some basic objects in differential geometry of Lie groups are calculated for SU(2) and SU(3) groups in Euler angles parametrization.

Math.rar (168KB) :

  • SU(2).nb -- material which concerns SU(2) group,
  • aSU3-left.nb -- left invariant vector fields and Maurer-Cartan forms,
  • aSU3-right.nb -- right invariant vector fields and Maurer-Cartan forms,
  • aSU3-R-matrix.nb -- the adjoint matrix which rotates left
    invariant vector fields and Maurer-Cartan forms into the right
    ones,
  • aSU3-metric.nb -- the invariant metric and some tensors constructed using metric like Riemann curvature tensor, Casimir operators, harmonic forms and so on.
  • commutator.nb -- some identities for Gell-Mann matrices and structure constants for SU(3) group, traces of antisymmetrized products of matrices.

All files may be run independently. Warning: some calculations (e.g. the adjoint matrix for SU(3) group) take a long time (a few hours on Celeron-500). Used formulas are simple, they mainly contain exponentiation of matrix, matrix multiplications, taking traces, differentiation and so on. The programs themselves represent protocols of consequent calculations and may be realized, of course, not only in MATHEMATICA, but in every computer system for analytical computation, for example MAPLE, REDUCE and others. The main difficulty is simplification due to the huge amount of trigonometric functions. And this takes the main part of time.

Needed definitions, used formulas for calculation and testing, and results are collected in

PDF-file (257 KB)

Books and articles which cover used material on differential geometry of Lie groups are pointed out in this text.

I thank Mark Byrd (Harvard University) and Arsen Khvedelidze for their help and consultations during this work.

 

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