International Journal of Theoretical and Mathematical Physics

International Journal of Theoretical and Mathematical Physics is a peer-reviewed journal, publishing papers on all areas in which theoretical physics and mathematics interact with each other. It features the reports on current developments in theoretical physics as well as related mathematical problems.

Volodimir Simulik

Editorial Board Member of International Journal of Theoretical and Mathematical Physics

Professor, Institute of Electron Physics of Ukrainian National Academy of Sciences, Ukraine

Research Areas

Classical and quantum field theory, relativistic wave equations, symmetries, models in particle physics, atomic and nuclear physics.

Education

2000Ph.D.Physical and Mathematical Sciences, specialist in Theoretical Physics (Kiev)
1985M.Sc.Department of Nuclear Research Institute of Academy of Sciences (Kiev)
1981B.Sc.a teacher of physics, Uzhgorod State University

Publications: Journals

[1]  Krivsky I.Yu., Simulik V.M. Lagrangian of electromagnetic field in terms of field strengths and conservation laws // Ukrainian Phys. Journ.  1985.  30, № 10.  P. 14571459. (in Russian)
[2]  Krivsky I.Yu., Simulik V.M. Invariant Lagrangian in electrodynamics without potentials // VANT, Ser.: Jen. and Nucl. Phys.  1986.  1(34).  P. 2930. (in Russian)
[3]  Krivsky I.Yu., Simulik V.M. Lagrange and Noether analysis of polarization conservation laws for electromagnetic field // VANT, Ser.: Jen. and Nucl. Phys.  1988.  1(41).  P. 4446. (in Russian)
[4]  Krivsky I.Yu., Simulik V.M. On the canonical quantization of tensor electromagnetic field // Ukrainian Phys. Journ.  1989.  34, № 7.  P. 977983. (in Russian)
[5]  Krivsky I.Yu., Simulik V.M. Noether analysis of zilch conservation laws and their generalization for the electromagnetic field. I. Use of different formulations of the principle of least action. // Theor. Math. Phys.  1989.  80, № 2.  P. 864–874.
[6]  Krivsky I.Yu., Simulik V.M. Noether analysis of zilch conservation laws and their generalization for the electromagnetic field. II. Use of Poincare-invariant formulation of the principle of least action. // Theor. Math. Phys.  1989.  80, № 3.  P. 912–921.
[7]  Fushchich W.I., Krivsky I.Yu., Simulik V.M. On vector and pseudovector Lagrangians for electromagnetic field // Nuovo Cim. B.  1989.  103, №4.  P. 423429.
[8]  Simulik V.M. Conservation laws for electromagnetic field in terms of spinor // VANT. Ser.: Nucl. Phys. Investigations  1990.  1(9).  P. 7982. (in Russian)
[9]  Krivsky I.Yu., Simulik V.M. S-equivalent Lagrangians for electromagnetic field // VANT. Ser.: Nucl. Phys. Investigations  1990.  1(9).  P. 7779. (in Russian)
[10]  Krivsky I.Yu., Simulik V.M. Quantization of electromagnetic field of field strengths on the basis of vector Hamiltonian // VANT. Ser.: Nucl. Phys. Investigations  1(9).  P. 8283. (in Russian)
[11]  Simulik V.M. Connection between the symmetry properties of the Dirac and Maxwell equations. Conservation laws. // Theor. Math. Phys.  1991.  87, № 1.  P. 386393.
[12]  Simulik V.M., Krivsky I.Yu. Third-rank tensors for electromagnetic field and series of conservation laws // Ukrainian Phys. Journ.  1991.  36, № 11.  P. 16071613. (in Russian)
[13]  Krivsky I.Yu., Simulik V.M. Bosonic forms of the Dirac equation. Connection between the symmetries of the Dirac and Maxwell equations // Reports of the Academy of Sciences of Ukraine. Ser. A.  1991.  №9.  P. 102107. (in Russian)
[14]  Krivsky I.Yu., Simulik V.M. Dirac equation and spin 1 representations, a connection with symmetries of the Maxwell equations. // Theor. Math. Phys.  1992.  90, №3.  P.265276.
[15]  Krivsky I.Yu., Simulik V.M., Torich Z.Z. On the complete set of first-order conservation laws for electromagnetic field // Reports of the Academy of Sciences of Ukraine. Ser. A.  1993.  № 10.  P. 9197. (in Russian)
[16]  Simulik V.M. Some algebraic properties of Maxwell-Dirac isomorphism // Z. Naturforsch. A.  1994.  49.  P. 10741076.
[17]  Krivsky I.Yu., Simulik V.M., Torich Z.Z. A covariant form for the complete set of first-order electromagnetic conservation laws // Phys. Lett. B.  1994.  320, № 1-2.  Р. 9698.
[18]  Simulik V.M., Krivsky I.Yu. Complete set of transformations connecting the Dirac and Maxwell equations // Reports of the Academy of Sciences of Ukraine.  1995.  №7.  P.5457. (in Russian)
[19]  Krivsky I.Yu., Simulik V.M. On the unitary operator connecting the Dirac and Maxwell equations // Reports of the Academy of Sciences of Ukraine.  1996.  № 8.  P. 7985. (in Russian)
[20]  Krivsky I.Yu., Simulik V.M. Unitary connection in Maxwell-Dirac isomorphism and the Clifford algebra // Adv. Appl. Cliff. Algebras.  1996.  6, № 2  P. 249259.
[21]  Simulik V.M., Krivsky I.Yu. Clifford algebra in classical electrodynamical hydrogen atom model // Adv. Appl. Cliff. Algebras.  1997.  7, № 1.  P. 2534.
[22]  Simulik V.M. Spectrum of hydrogen in classical electrodynamics // Ukrainian Phys. Journ.  1997.  42, №4.  P. 406407. (in Ukrainian)
[23]  Simulik V.M. Solutions of the Maxwell equations describing the spectrum of hydrogen // Ukrainian Math. Journ.  1997.  49. №7.  P. 10751088.
[24]  Simulik V.M. A theorem on the structure of a complete set of conformal-like series of conserved quantities for massless fields // Ukrainian Math. Journ.  1997.  49, №12.  P.19271931.
[25]  Krivsky I.Yu., Simulik V.M., Torich Z.Z. Local and other symmetries of the curl-subsystem of the Maxwell equations // Soviet Phys. Journal. Izvestiya Vuzov  1997.  40, №5.  P. 9297. (in Russian)
[26]  Simulik V.M., Krivsky I.Yu. Bosonic symmetries of the massless Dirac equations  some consequences // Ukrainian Phys. Journ.  1998.  43, №7.  P. 857863.
[27]  Simulik V.M., Krivsky I.Yu. Bosonic symmetries of the massless Dirac equations // Adv. Appl. Cliff. Algebras.  1998.  8, № 1.  P. 6982.
[28]  Simulik V.M., Krivsky I.Yu. 100 years of the discovery of electron and its modern theory // Uzhgorod University Scientific Herald. Ser.: Physics  1998.  2  P. 7478. (in Ukrainian)
[29]  Krivsky I.Yu., Simulik V.M. On the longitudinal electromagnetic waves // Uzhgorod University Scientific Herald. Ser.: Physics  1998.  2  P. 121125.
[30]  Krivsky I.Yu., Simulik V.M., Torich Z.Z. Nonlocal Poincare invariance of curl-subsystem of the Maxwell equations and conservation laws // Scientific Bulletin, Ser. C, Vol. XIII, Proceedings of the International Multidisciplinary Conference (3rd Edition).  Baja Mare (Romania): 2122 May 1999. – P. 119122.
[31]  Simulik V.M., Krivsky I.Yu., Kontrosh K.J. Separation of variables in generalized Maxwell equations for inneratomic problems // Scientific Bulletin, Ser. C, Vol. XIII, Proceedings of the International Multidisciplinary Conference (3rd Edition).  Baja Mare (Romania): 2122 May 1999. – P. 215220.
[32]  Krivsky I.Yu., Simulik V.M. The Maxwell equations with gradient-type currents and their relationship with the Dirac equation // Ukrainian Phys. Journ.  1999.  44, №5.  P. 661665. (in Ukrainian)
[33]  Simulik V.M., Krivsky I.Yu. Further development of the classical electrodynamical model of atom // Uzhgorod University Scientific Herald. Ser.: Physics  2000.  8.  P. 169172.
[34]  Krivsky I.Yu., Simulik V.M., Torich Z.Z. Nongeometric Poincare’ invariance of curl-subsystem of Maxwell equations for the free fields and conservation laws // Heavy ion physics.  2000.  №11.  P. 4347.
[35]  Simulik V.M., Krivsky I.Yu. Classical electrodynamical relativistic hydrogen atom model – brief review // Uzhgorod University Scientific Herald. Ser.: Physics  2001.  9.  P. 4649.
[36]  Krivsky I.Yu., Simulik V.M., Torich Z.Z. On the question of the Maxwell equations curl-subsystem invariance and conservation laws // Uzhgorod University Scientific Herald. Ser.: Physics  2001.  9.  P. 1217. (in Ukrainian)
[37]  Simulik V.M., Krivsky I.Yu. Slightly generalized Maxwell classical electrodynamics can be applied to inneratomic phenomena // Annales de la Fondation Louis de Broglie (Special issue: Contemporary Electrodynamics)  2002.  27, N2.  p. 303329.
[38]  Simulik V.M., Krivsky I.Yu. On the essence of slightly generalized Maxwell classical electrodynamics, reply on the "Comment on the paper Slightly generalized Maxwell classical electrodynamics can be applied to inneratomic phenomena" // Annales de la Fondation Louis de Broglie (Special issue: Contemporary Electrodynamics)  2002.  27, N2.  p. 523527.
[39]  Krivsky I.Yu., Simulik V.M. Velocity of light as an integral characteristic of electromagnetic field // Kiev University Scientific Herald. Ser.: Physics and Mathematics.  2002.  №4.  P. 1218.
[40]  Simulik V.M., Krivsky I.Yu. Relationship between the Maxwell and Dirac equations: symmetries, quantization, models of atom // Rep. Math. Phys. – 2002.  50, N 3. – P. 315328.
[41]  Simulik V.M., Krivsky I.Yu. Classical electrodynamical aspect of the Dirac equation // Electromagnetic phenomena. – 2003.  3, N 1(9).  P. 103114.
[42]  Krivsky I.Yu., Lompay R.R., Simulik V.M. On the symmetries of the complex Dirac – Kahler equation // Theor. Math. Phys. – 2005. – 143, №1. – P.541–558.
[43]  Zajac T.M., Simulik V.M. The method of interacting configurations in complex number representation: application for calculations of spectroscopic characteristics of quasi-stationary states in two electron systems // Internat. Journ. Pure and Appl. Phys. – 2006. – 2, №3. – P.231–248.
[44]  Krivsky I.Yu., Simulik V.M. On nonlocal symmetries of the Maxwell equations and conservation laws // Ukrainian Phys. Journ. – 2007. – 52, №2, – P.120–129.
[45]  Lompay R.R., Simulik V.M. Point charge radiation and equivalence principle // Reports of the National Academy of Sciences of Ukraine – 2007. –№10, – P.74–80. (in Ukrainian)
[46]  Zajac T.M., Opachko A.I., Simulik V.M. Application of the method of interacting configuration in complex number representation to the problem of ion ionization // Uzhgorod University Scientific Herald. Ser.: Physics  2008.  22.  P. 8286. (in Ukrainian)
[47]  Krivsky I.Yu., Simulik V.M. On the necessity of canonical Foldy – Wouthuysen representation for the spinor field // Uzhgorod University Scientific Herald. Ser.: Physics  2008. – 23. – P.16–22. (in Ukrainian)
[48]  Krivsky I.Yu., Simulik V.M. On the relativistic quantum mechanics of arbitrary mass and spin particle in canonical Foldy – Wouthuysen representation // Uzhgorod University Scientific Herald. Ser.: Physics  2008. – 23. – P.36–44. (in Ukrainian)
[49]  Zajac T.M., Opachko A.I., Simulik V.M., Tymchyk R.V. Energies of the lowest 1S, 1P, 1D, 1F autoionizing states of Mg atom in the method of interacting configuration // Uzhgorod University Scientific Herald. Ser.: Physics  2009. – 24. – P.180–184. (in Ukrainian)
[50]  Krivsky I.Yu., Simulik V.M., Tymchyk R. V. On the Lagrange approach and dynamical variables for the spinor field in canonical Foldy – Wouthuysen representation // Uzhgorod University Scientific Herald. Ser.: Physics  2009. – 25. – P.175–186. (in Ukrainian)
[51]  Simulik V.M., Krivsky I.Yu. On the solutions and symmetries of the Dirac equation and complex Dirac – Kahler equation in the Foldy – Wouthuysen representation // Uzhgorod University Scientific Herald. Ser.: Physics  2009. – 25. – P.164–174. (in Ukrainian)
[52]  Simulik V.M., Krivsky I.Yu. On the extended real Clifford – Dirac algebra and new physically meaningful symmetries of the Dirac equation with nonzero mass // Reports of the National Academy of Sciences of Ukraine – 2010. –№5, – P. 82 – 88. (in Ukrainian)
[53]  Krivsky I.Yu., Simulik V.M. Fermi-Bose duality of the Dirac equation and extended real Clifford-Dirac algebra // Cond. Matt. Phys. – 2010. –13, №4. – P.43101 (1 –15).
[54]  Opachko A.I., Simulik V.M., Tymchyk R.V., Zajac T.M. Energy levels of the lowest autoionizing states of Be atom in the problem of electron impact ionization // Uzhgorod University Scientific Herald. Ser.: Physics  2011.  29.  P. 201204. (in Ukrainian)
[55]  Simulik V.M., Krivsky I.Yu. Bosonic symmetries of the Dirac equation // Phys. Lett. A. – 2011. – 375, №25. – P.2479–2483.

Publications: Books/Book Chapters

[1]  Krivsky I.Yu., Simulik V.M. Foundations of quantum electrodynamics in terms of field strengths.  Kiev: Naukova Dumka, 1992.  288 p. (in Russian)
[2]  What is the electron? Edited by V.M. Simulik – Montreal: Apeiron, 2005. – 281 p.
[3]  Simulik V.M. Application of variation principle to the electrodynamics in terms of field strengths and its group-theoretical analysis // Author’s summary of thesis for degree of Candidate of Physical and Mathematical Sciences 01.04.02. Kiev, Kiev State University: 1987.  18 p. (in Russian)
[4]  Simulik V.M. Relationships between the spin 1 and ½ fields. Their role in the construction of quantum electrodynamics in field strengths terms // Author’s summary of thesis for degree of Full Doctor of Physical and Mathematical Sciences 01.04.02. Kiev, Taras Shevchenko National University of Kiev:, 2000.  32 p. (in Ukrainian)