Wasyl Kowalczuk, Ph.D., Dr. Habil. 

Doctoral thesis
20060331  Nonlinear models of collective and internal degrees of freedom in mechanics and field theory
 591 
Habilitation thesis
20150625  Modele afiniczne w opisie dyskretnych i ciągłych ośrodków z mikrostrukturą w mechanice analitycznej 
Recent publications
1.  Sławianowski J.J., Kovalchuk V., Gołubowska B., Martens A., Rożko E.E., Mechanics of affine bodies. Towards affine dynamical symmetry, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, ISSN: 0022247X, DOI: 10.1016/j.jmaa.2016.08.042, Vol.446, pp.493520, 2017 Sławianowski J.J., Kovalchuk V., Gołubowska B., Martens A., Rożko E.E., Mechanics of affine bodies. Towards affine dynamical symmetry, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, ISSN: 0022247X, DOI: 10.1016/j.jmaa.2016.08.042, Vol.446, pp.493520, 2017 Abstract: Keywords:  
2.  Sławianowski J.J., Kovalchuk V., Gołubowska B., Martens A., Rożko E.E., Quantized mechanics of affinelyrigid bodies, MATHEMATICAL METHODS IN THE APPLIED SCIENCES, ISSN: 01704214, DOI: 10.1002/mma.4501, pp.119, 2017 Sławianowski J.J., Kovalchuk V., Gołubowska B., Martens A., Rożko E.E., Quantized mechanics of affinelyrigid bodies, MATHEMATICAL METHODS IN THE APPLIED SCIENCES, ISSN: 01704214, DOI: 10.1002/mma.4501, pp.119, 2017 Abstract: Keywords:  
3.  Gołubowska B., Kovalchuk V., Sławianowski J.J., Constraints and symmetry in mechanics of affine motion, JOURNAL OF GEOMETRY AND PHYSICS, ISSN: 03930440, DOI: 10.1016/j.geomphys.2014.01.012, Vol.78, pp.5979, 2014 Gołubowska B., Kovalchuk V., Sławianowski J.J., Constraints and symmetry in mechanics of affine motion, JOURNAL OF GEOMETRY AND PHYSICS, ISSN: 03930440, DOI: 10.1016/j.geomphys.2014.01.012, Vol.78, pp.5979, 2014 Abstract: Keywords:  
4.  Popov A.^{♦}, Kovalchuk V., Parametric representation of wave propagation in nonuniform media (both in transmission and stop bands), MATHEMATICAL METHODS IN THE APPLIED SCIENCES, ISSN: 01704214, DOI: 10.1002/mma.2687, Vol.36, No.11, pp.13501362, 2013 Popov A.^{♦}, Kovalchuk V., Parametric representation of wave propagation in nonuniform media (both in transmission and stop bands), MATHEMATICAL METHODS IN THE APPLIED SCIENCES, ISSN: 01704214, DOI: 10.1002/mma.2687, Vol.36, No.11, pp.13501362, 2013 Abstract: Keywords:  
5.  Sławianowski J.J., Kovalchuk V., Martens A., Gołubowska B., Rożko E.E., Essential nonlinearity implied by symmetry group. Problems of affine invariance in mechanics and physics, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMSSERIES B, ISSN: 15313492, DOI: 10.3934/dcdsb.2012.17.699, Vol.17, No.2, pp.699733, 2012 Sławianowski J.J., Kovalchuk V., Martens A., Gołubowska B., Rożko E.E., Essential nonlinearity implied by symmetry group. Problems of affine invariance in mechanics and physics, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMSSERIES B, ISSN: 15313492, DOI: 10.3934/dcdsb.2012.17.699, Vol.17, No.2, pp.699733, 2012 Abstract: Keywords:  
6.  Sławianowski J.J., Kovalchuk V., Martens A., Gołubowska B., Rożko E.E., Generalized Weyl–Wigner–Moyal–Ville formalism and topological groups, MATHEMATICAL METHODS IN THE APPLIED SCIENCES, ISSN: 01704214, DOI: 10.1002/mma.1531, Vol.35, pp.1742, 2012 Sławianowski J.J., Kovalchuk V., Martens A., Gołubowska B., Rożko E.E., Generalized Weyl–Wigner–Moyal–Ville formalism and topological groups, MATHEMATICAL METHODS IN THE APPLIED SCIENCES, ISSN: 01704214, DOI: 10.1002/mma.1531, Vol.35, pp.1742, 2012 Abstract: Keywords:  
7.  Gołubowska B., Kovalchuk V., Martens A., Rożko E.E., Sławianowski J.J., Some strange features of the Galilei group, Journal of Geometry and Symmetry in Physics, ISSN: 13125192, DOI: 10.7546/jgsp2620123359, Vol.26, pp.3359, 2012 Gołubowska B., Kovalchuk V., Martens A., Rożko E.E., Sławianowski J.J., Some strange features of the Galilei group, Journal of Geometry and Symmetry in Physics, ISSN: 13125192, DOI: 10.7546/jgsp2620123359, Vol.26, pp.3359, 2012 Abstract: Keywords:  
8.  Sławianowski J.J., Kovalchuk V., Martens A., Gołubowska B., Rożko E.E., Mechanics of systems of affine bodies. Geometric foundations and applications in dynamics of structured media, MATHEMATICAL METHODS IN THE APPLIED SCIENCES, ISSN: 01704214, DOI: 10.1002/mma.1462, Vol.34, pp.15121540, 2011 Sławianowski J.J., Kovalchuk V., Martens A., Gołubowska B., Rożko E.E., Mechanics of systems of affine bodies. Geometric foundations and applications in dynamics of structured media, MATHEMATICAL METHODS IN THE APPLIED SCIENCES, ISSN: 01704214, DOI: 10.1002/mma.1462, Vol.34, pp.15121540, 2011 Abstract: Keywords:  
9.  Sławianowski J.J., Kovalchuk V., Martens A., Gołubowska B., Rożko E.E., Quasiclassical and Quantum Systems of Angular Momentum. Part I. Group Algebras as a Framework for QuantumMechanical Models with Symmetries, Journal of Geometry and Symmetry in Physics, DOI: 10.7546/jgsp2120116194, Vol.21, pp.6194, 2011 Sławianowski J.J., Kovalchuk V., Martens A., Gołubowska B., Rożko E.E., Quasiclassical and Quantum Systems of Angular Momentum. Part I. Group Algebras as a Framework for QuantumMechanical Models with Symmetries, Journal of Geometry and Symmetry in Physics, DOI: 10.7546/jgsp2120116194, Vol.21, pp.6194, 2011 Abstract: Keywords:  
10.  Sławianowski J.J., Kovalchuk V., Martens A., Gołubowska B., Rożko E.E., Quasiclassical and Quantum Systems of Angular Momentum. Part II. Quantum Mechanics on Lie Groups and Methods of Group Algebras, Journal of Geometry and Symmetry in Physics, DOI: 10.7546/jgsp2220116794, Vol.22, pp.6794, 2011 Sławianowski J.J., Kovalchuk V., Martens A., Gołubowska B., Rożko E.E., Quasiclassical and Quantum Systems of Angular Momentum. Part II. Quantum Mechanics on Lie Groups and Methods of Group Algebras, Journal of Geometry and Symmetry in Physics, DOI: 10.7546/jgsp2220116794, Vol.22, pp.6794, 2011 Abstract: Keywords:  
11.  Sławianowski J.J., Kovalchuk V., Martens A., Gołubowska B., Rożko E.E., Quasiclassical and Quantum Systems of Angular Momentum. Part III. Group Algebra su(2), Quantum Angular Momentum and Quasiclassical Asymptotics, Journal of Geometry and Symmetry in Physics, DOI: 10.7546/jgsp2320115995, Vol.23, pp.5995, 2011 Sławianowski J.J., Kovalchuk V., Martens A., Gołubowska B., Rożko E.E., Quasiclassical and Quantum Systems of Angular Momentum. Part III. Group Algebra su(2), Quantum Angular Momentum and Quasiclassical Asymptotics, Journal of Geometry and Symmetry in Physics, DOI: 10.7546/jgsp2320115995, Vol.23, pp.5995, 2011 Abstract: Keywords:  
12.  Sławianowski J.J., Kovalchuk V., Gołubowska B., Martens A., Rożko E.E., Quantized excitations of internal affine modes and their influence on Raman spectra, ACTA PHYSICA POLONICA B, ISSN: 05874254, DOI: 10.5506/APhysPolB.41.165, Vol.41, No.1, pp.165218, 2010 Sławianowski J.J., Kovalchuk V., Gołubowska B., Martens A., Rożko E.E., Quantized excitations of internal affine modes and their influence on Raman spectra, ACTA PHYSICA POLONICA B, ISSN: 05874254, DOI: 10.5506/APhysPolB.41.165, Vol.41, No.1, pp.165218, 2010 Abstract: Keywords:  
13.  Sławianowski J.J., Kovalchuk V., Schrödinger and related equations as Hamiltonian systems, manifolds of secondorder tensors and new ideas of nonlinearity in quantum mechanics, REPORTS ON MATHEMATICAL PHYSICS, ISSN: 00344877, DOI: 10.1016/S00344877(10)00008X, Vol.65, No.1, pp.2976, 2010 Sławianowski J.J., Kovalchuk V., Schrödinger and related equations as Hamiltonian systems, manifolds of secondorder tensors and new ideas of nonlinearity in quantum mechanics, REPORTS ON MATHEMATICAL PHYSICS, ISSN: 00344877, DOI: 10.1016/S00344877(10)00008X, Vol.65, No.1, pp.2976, 2010 Abstract: Keywords:  
14.  Kovalchuk V., On classical dynamics of affinelyrigid bodies subject to the KirchhoffLove constraints, Symmetry, Integrability and Geometry: Methods and Applications SIGMA, ISSN: 18150659, DOI: 10.3842/SIGMA.2010.031, Vol.6, No.031, pp.112, 2010 Kovalchuk V., On classical dynamics of affinelyrigid bodies subject to the KirchhoffLove constraints, Symmetry, Integrability and Geometry: Methods and Applications SIGMA, ISSN: 18150659, DOI: 10.3842/SIGMA.2010.031, Vol.6, No.031, pp.112, 2010 Abstract: Keywords:  
15.  Kovalchuk V., Rożko E.E., Classical models of affinelyrigid bodies with "thickness" in degenerate dimension, Journal of Geometry and Symmetry in Physics, ISSN: 13125192, DOI: 10.7546/jgsp1420095165, Vol.14, pp.5165, 2009 Kovalchuk V., Rożko E.E., Classical models of affinelyrigid bodies with "thickness" in degenerate dimension, Journal of Geometry and Symmetry in Physics, ISSN: 13125192, DOI: 10.7546/jgsp1420095165, Vol.14, pp.5165, 2009 Abstract: Keywords:  
16.  Kovalchuk V., Sławianowski J.J., Hamiltonian systems inspired by the Schrödinger equation, Symmetry, Integrability and Geometry: Methods and Applications SIGMA, ISSN: 18150659, DOI: 10.3842/SIGMA.2008.046, Vol.4, pp.4654, 2008 Kovalchuk V., Sławianowski J.J., Hamiltonian systems inspired by the Schrödinger equation, Symmetry, Integrability and Geometry: Methods and Applications SIGMA, ISSN: 18150659, DOI: 10.3842/SIGMA.2008.046, Vol.4, pp.4654, 2008 Abstract: Keywords:  
17.  Sławianowski J.J., Kovalchuk V., Sławianowska A.^{♦}, Gołubowska B., Martens A., Rożko E.E., Zawistowski Z.J., Affine symmetry in mechanics of collective and internal modes. Part II. Quantum models, REPORTS ON MATHEMATICAL PHYSICS, ISSN: 00344877, DOI: 10.1016/S00344877(05)800023, Vol.55, No.1, pp.146, 2005 Sławianowski J.J., Kovalchuk V., Sławianowska A.^{♦}, Gołubowska B., Martens A., Rożko E.E., Zawistowski Z.J., Affine symmetry in mechanics of collective and internal modes. Part II. Quantum models, REPORTS ON MATHEMATICAL PHYSICS, ISSN: 00344877, DOI: 10.1016/S00344877(05)800023, Vol.55, No.1, pp.146, 2005 Abstract: Keywords:  
18.  Sławianowski J.J.^{♦}, Kovalchuk V., Sławianowska A.^{♦}, Gołubowska B., Martens A., Rożko E.E., Zawistowski Z.J., Affine symmetry in mechanics of collective and internal modes. Part I. Classical models, REPORTS ON MATHEMATICAL PHYSICS, ISSN: 00344877, DOI: 10.1016/S00344877(04)800260, Vol.54, No.3, pp.373427, 2004 Sławianowski J.J.^{♦}, Kovalchuk V., Sławianowska A.^{♦}, Gołubowska B., Martens A., Rożko E.E., Zawistowski Z.J., Affine symmetry in mechanics of collective and internal modes. Part I. Classical models, REPORTS ON MATHEMATICAL PHYSICS, ISSN: 00344877, DOI: 10.1016/S00344877(04)800260, Vol.54, No.3, pp.373427, 2004 Abstract: Keywords:  
19.  Sławianowski J.J., Kovalchuk V., Invariant geodetic problems on the projective group Pr(n,R), Proceedings of Institute of Mathematics of NAS of Ukraine, Vol.50, No.2, pp.955960, 2004 Sławianowski J.J., Kovalchuk V., Invariant geodetic problems on the projective group Pr(n,R), Proceedings of Institute of Mathematics of NAS of Ukraine, Vol.50, No.2, pp.955960, 2004 Abstract: Keywords:  
20.  Kovalchuk V., Green function for KleinGordonDirac equation, Journal of Nonlinear Mathematical Physics, ISSN: 14029251, DOI: 10.2991/jnmp.2004.11.s1.9, Vol.11, No.Supplement, pp.7277, 2004 Kovalchuk V., Green function for KleinGordonDirac equation, Journal of Nonlinear Mathematical Physics, ISSN: 14029251, DOI: 10.2991/jnmp.2004.11.s1.9, Vol.11, No.Supplement, pp.7277, 2004 Abstract: Keywords:  
21.  Sławianowski J.J., Kovalchuk V., Classical and quantized affine physics: a step towards it, Journal of Nonlinear Mathematical Physics, ISSN: 14029251, DOI: 10.2991/jnmp.2004.11.s1.21, Vol.11, No.Supplement, pp.157166, 2004 Sławianowski J.J., Kovalchuk V., Classical and quantized affine physics: a step towards it, Journal of Nonlinear Mathematical Physics, ISSN: 14029251, DOI: 10.2991/jnmp.2004.11.s1.21, Vol.11, No.Supplement, pp.157166, 2004 Abstract: Keywords:  
22.  Sławianowski J.J., Kovalchuk V., Invariant geodetic problems on the affine group and related Hamiltonian systems, REPORTS ON MATHEMATICAL PHYSICS, ISSN: 00344877, DOI: 10.1016/S00344877(03)800290, Vol.51, No.2/3, pp.371379, 2003 Sławianowski J.J., Kovalchuk V., Invariant geodetic problems on the affine group and related Hamiltonian systems, REPORTS ON MATHEMATICAL PHYSICS, ISSN: 00344877, DOI: 10.1016/S00344877(03)800290, Vol.51, No.2/3, pp.371379, 2003 Abstract: Keywords:  
23.  Sławianowski J.J., Kovalchuk V., KleinGordonDirac equation: physical justification and quantization attempts, REPORTS ON MATHEMATICAL PHYSICS, ISSN: 00344877, DOI: 10.1016/S00344877(02)800234, Vol.49, No.2/3, pp.249257, 2002 Sławianowski J.J., Kovalchuk V., KleinGordonDirac equation: physical justification and quantization attempts, REPORTS ON MATHEMATICAL PHYSICS, ISSN: 00344877, DOI: 10.1016/S00344877(02)800234, Vol.49, No.2/3, pp.249257, 2002 Abstract: Keywords: 
List of recent monographs
1. 67  Sławianowski J.J., Kovalchuk V., Gołubowska B., Martens A., Rożko E.E., Dynamical systems with internal degrees of freedom in nonEuclidean spaces, IPPT Reports on Fundamental Technological Research, 8, pp.1129, 2006 
2. 484  Sławianowski J.J., Kovalchuk V., Sławianowska A.^{♦}, Gołubowska B., Martens A., Rożko E.E., Zawistowski Z.J., Invariant geodetic systems on Lie groups and affine models of internal and collective degrees of freedom, Prace IPPT  IFTR Reports, Warszawa, 7, pp.1164, 2004 
List of chapters in recent monographs
1. 374  Sławianowski J.J., Kovalchuk V., Selected Topics in Applications of Quantum Mechanics, rozdział: Classical or Quantum? What is Reality?, prof. Mohammad Reza Pahlavani (Ed.), InTech, Rijeka, pp.335, 2015 
2. 387  Sławianowski J.J., Kovalchuk V., Geometry, Integrability, Mechanics and Quantization, rozdział: Quantized version of the theory of affine body, Ivailo M. Mladenov, Mariana Hadzhilazova and Vasyl Kovalchuk (Editors), Avangard Prima, Sofia, pp.6888, 2015 
3. 391  Kovalchuk V., Geometry, Integrability, Mechanics and Quantization, rozdział: On new ideas of nonlinearity in quantum mechanics, Ivailo M. Mladenov, Mariana Hadzhilazova and Vasyl Kovalchuk (Editors), Avangard Prima, Sofia, pp.267279, 2015 
4. 313  Sławianowski J.J., Kovalchuk V., Advances in Quantum Mechanics, rozdział: Schroedinger equation as a hamiltonian system, essential nonlinearity, dynamical scalar product and some ideas of decoherence, Prof. Paul Bracken (Ed.), InTech, Rijeka, pp.81103, 2013 
5. 252  Gołubowska B., Kovalchuk V., Martens A., Rożko E.E., Sławianowski J.J., Geometry, Integrability and Quantization XIII, rozdział: Some strange features of the Galilei group, Editors: Ivailo M. Mladenov, Andrei Ludu and Akira Yoshioka, Avangard Prima, Sofia, pp.150175, 2012 
6. 35  Sławianowski J.J., Kovalchuk V., Martens A., Gołubowska B., Rożko E.E., Geometry, Integrability and Quantization XII, rozdział: Quasiclassical and Quantum Dynamics of Systems of Angular Momenta, Editors: Ivailo M. Mladenov, Gaetano Vilasi and Akira Yoshioka, Avangard Prima, Sofia, pp.70155, 2011 
7. 147  Kovalchuk V., Rożko E.E., Geometry, integrability and quantization, Proceedings of the 10th International Conference, rozdział: Classical models of affinelyrigid bodies with thickness in degenerate dimension, Bulgarian Academy of Sciences, Avangard Prima, Mladenov I.M., Vilasi G., Yoshioka A. (Eds.), pp.197210, 2009 
8. 181  Sławianowski J.J., Kovalchuk V., Problems of stability and stabilization of motion, Bulletin of Computing Centre named after A.A.Dorodnitsyn, rozdział: Symmetries and geometrically implied nonlinearities in mechanics and field theory, Russian Academy of Sciences, Stepanov S.Ja., Burov A.A. (Eds.), pp.119150, 2009 
9. 149  Sławianowski J.J., Kovalchuk V., Geometry, integrability and quantization, Proceedings of the 9th International Conference, rozdział: Search for the geometrodynamical gauge group. Hypotheses and some results, Bulgarian Academy of Sciences, Mladenov M.I., De Leon M. (Eds.), pp.63132, 2008 
Editor of monographs
1. 385  Kovalchuk V., Geometry, Integrability, Mechanics and Quantization, Ivailo M. Mladenov, Mariana Hadzhilazova and Vasyl Kovalchuk (Editors), Avangard Prima, Sofia, pp.1461, 2015 
Conference papers
1.  Sławianowski J.J., Kovalchuk V., Quantized version of the theory of affine body, Geometry, Integrability and Quantization, ISSN: 13143247, DOI: 10.7546/giq1620157393, Vol.XVI, pp.7393, 2015 Sławianowski J.J., Kovalchuk V., Quantized version of the theory of affine body, Geometry, Integrability and Quantization, ISSN: 13143247, DOI: 10.7546/giq1620157393, Vol.XVI, pp.7393, 2015 Abstract: Keywords:  
2.  Kovalchuk V., On new ideas of nonlinearity in quantum mechanics, Geometry, Integrability and Quantization, ISSN: 13143247, DOI: 10.7546/giq162015195206, Vol.XVI, pp.195206, 2015 Kovalchuk V., On new ideas of nonlinearity in quantum mechanics, Geometry, Integrability and Quantization, ISSN: 13143247, DOI: 10.7546/giq162015195206, Vol.XVI, pp.195206, 2015 Abstract: Keywords:  
3.  Gołubowska B., Kovalchuk V., Rożko E.E., Sławianowski J.J., Some constraints and symmetries in dynamics of homogeneously deformable elastic bodies, Geometry, Integrability and Quantization, ISSN: 13143247, DOI: 10.7546/gip142013103115, Vol.XIV, pp.103115, 2013 Gołubowska B., Kovalchuk V., Rożko E.E., Sławianowski J.J., Some constraints and symmetries in dynamics of homogeneously deformable elastic bodies, Geometry, Integrability and Quantization, ISSN: 13143247, DOI: 10.7546/gip142013103115, Vol.XIV, pp.103115, 2013 Abstract: Keywords: 