Edit Profile (opens in new tab) Kovalchuk, Vasyl Compute Distance To: Compute Author ID: kovalchuk.vasyl Published as: Kovalchuk, Vasyl; Kovalchuk, V. Documents Indexed: 35 Publications since 2002 Co-Authors: 7 Co-Authors with 32 Joint Publications 56 Co-Co-Authors all top 5 Co-Authors 2 single-authored 26 Sławianowski, Jan Jerzy 19 Gołubowska, Barbara 15 Martens, Agnieszka 13 Rożko, Ewa Eliza 3 Mladenov, Ivaĭlo M. 2 Sławianowska, Anna K. 1 Rożko, Eliza E. all top 5 Serials 8 Mathematical Methods in the Applied Sciences 6 Journal of Geometry and Symmetry in Physics 5 Reports on Mathematical Physics 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Mathematical Analysis and Applications 1 Journal of Geometry and Physics 1 Journal of Nonlinear Mathematical Physics 1 Discrete and Continuous Dynamical Systems. Series B 1 Prace IPPT - IFTR Reports all top 5 Fields 23 Mechanics of particles and systems (70-XX) 16 Quantum theory (81-XX) 8 Topological groups, Lie groups (22-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Differential geometry (53-XX) 7 Mechanics of deformable solids (74-XX) 4 Relativity and gravitational theory (83-XX) 3 Group theory and generalizations (20-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Calculus of variations and optimal control; optimization (49-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 15 Publications have been cited 43 times in 21 Documents Cited by ▼ Year ▼ Affine symmetry in mechanics of collective and internal modes. I: Classical models. Zbl 1134.70314Sławianowski, J. J.; Kovalchuk, V.; Sławianowska, A.; Gołubowska, B.; Martens, A.; Rożko, E. E.; Zawistowski, Z. J. 9 2004 Affine symmetry in mechanics of collective and internal modes II: Quantum models. Zbl 1156.81379Sławianowski, J. J.; Kovalchuk, V.; Sławianowska, A.; Gołubowska, B.; Martens, A.; Roẓko, E. E.; Zawistowski, Z. J. 9 2005 Klein-Gordon-Dirac equation: physical justification and quantization attempts. Zbl 1026.81011Sławianowski, Jan J.; Kovalchuk, Vasyl 4 2002 Mechanics of systems of affine bodies. Geometric foundations and applications in dynamics of structured media. Zbl 1301.70002Sławianowski, J. J.; Kovalchuk, V.; Martens, A.; Gołubowska, B.; Rożko, E. E. 4 2011 Classical and quantized affine physics: a step towards it. Zbl 1362.70020Sławianowski, Jan; Kovalchuk, Vasyl 3 2004 Invariant geodetic problems on the affine group and related Hamiltonian systems. Zbl 1047.37056Sławianowski, Jan J.; Kovalchuk, Vasyl 2 2003 On classical dynamics of affinely-rigid bodies subject to the Kirchhoff-Love constraints. Zbl 1193.37126Kovalchuk, Vasyl 2 2010 Hamiltonian systems inspired by the Schrödinger equation. Zbl 1192.81131Kovalchuk, Vasyl; Slawianowski, Jan Jerzy 2 2008 Dynamical systems with internal degrees of freedom in non-euclidean spaces. Zbl 1152.70300Sławianowski, J. J.; Kovalchuk, V.; Gołubowska, B.; Martens, A; Rozko, E. E. 2 2006 Essential nonlinearity implied by symmetry group. Problems of affine invariance in mechanics and physics. Zbl 1254.37040Sławianowski, Jan J.; Kovalchuk, Vasyl; Martens, Agnieszka; Gołubowska, Barbara; Rożko, Ewa E. 1 2012 Classical models of affinely-rigid bodies with “thickness” in degenerate dimension. Zbl 1171.70003Kovalchuk, Vasyl; Rożko, Ewa Eliza 1 2009 Search for the geometrodynamical gauge group. Hypotheses and some results. Zbl 1205.83052Sławianowski, Jan J.; Kovalchuk, Vasyl 1 2008 Schrödinger and related equations as Hamiltonian systems, manifolds of second-order tensors and new ideas of nonlinearity in quantum mechanics. Zbl 1200.81056Sławianowski, J. J.; Kovalchuk, V. 1 2010 Quasiclassical and quantum systems of angular momentum. III. Group algebra \({\mathfrak{su}}(2)\), quantum angular momentum and quasiclassical asymptotic. Zbl 1238.81132Sławianowski, Jan J.; Kovalchuk, Vasyl; Martens, Agnieszka; Gołubowska, Barbara; Rożko, Ewa E. 1 2011 Invariant geodetic problems on the projective group \(Pr(n,R)\). Zbl 1096.37053Sławianowski, J. J.; Kovalchuk, V. 1 2004 Essential nonlinearity implied by symmetry group. Problems of affine invariance in mechanics and physics. Zbl 1254.37040Sławianowski, Jan J.; Kovalchuk, Vasyl; Martens, Agnieszka; Gołubowska, Barbara; Rożko, Ewa E. 1 2012 Mechanics of systems of affine bodies. Geometric foundations and applications in dynamics of structured media. Zbl 1301.70002Sławianowski, J. J.; Kovalchuk, V.; Martens, A.; Gołubowska, B.; Rożko, E. E. 4 2011 Quasiclassical and quantum systems of angular momentum. III. Group algebra \({\mathfrak{su}}(2)\), quantum angular momentum and quasiclassical asymptotic. Zbl 1238.81132Sławianowski, Jan J.; Kovalchuk, Vasyl; Martens, Agnieszka; Gołubowska, Barbara; Rożko, Ewa E. 1 2011 On classical dynamics of affinely-rigid bodies subject to the Kirchhoff-Love constraints. Zbl 1193.37126Kovalchuk, Vasyl 2 2010 Schrödinger and related equations as Hamiltonian systems, manifolds of second-order tensors and new ideas of nonlinearity in quantum mechanics. Zbl 1200.81056Sławianowski, J. J.; Kovalchuk, V. 1 2010 Classical models of affinely-rigid bodies with “thickness” in degenerate dimension. Zbl 1171.70003Kovalchuk, Vasyl; Rożko, Ewa Eliza 1 2009 Hamiltonian systems inspired by the Schrödinger equation. Zbl 1192.81131Kovalchuk, Vasyl; Slawianowski, Jan Jerzy 2 2008 Search for the geometrodynamical gauge group. Hypotheses and some results. Zbl 1205.83052Sławianowski, Jan J.; Kovalchuk, Vasyl 1 2008 Dynamical systems with internal degrees of freedom in non-euclidean spaces. Zbl 1152.70300Sławianowski, J. J.; Kovalchuk, V.; Gołubowska, B.; Martens, A; Rozko, E. E. 2 2006 Affine symmetry in mechanics of collective and internal modes II: Quantum models. Zbl 1156.81379Sławianowski, J. J.; Kovalchuk, V.; Sławianowska, A.; Gołubowska, B.; Martens, A.; Roẓko, E. E.; Zawistowski, Z. J. 9 2005 Affine symmetry in mechanics of collective and internal modes. I: Classical models. Zbl 1134.70314Sławianowski, J. J.; Kovalchuk, V.; Sławianowska, A.; Gołubowska, B.; Martens, A.; Rożko, E. E.; Zawistowski, Z. J. 9 2004 Classical and quantized affine physics: a step towards it. Zbl 1362.70020Sławianowski, Jan; Kovalchuk, Vasyl 3 2004 Invariant geodetic problems on the projective group \(Pr(n,R)\). Zbl 1096.37053Sławianowski, J. J.; Kovalchuk, V. 1 2004 Invariant geodetic problems on the affine group and related Hamiltonian systems. Zbl 1047.37056Sławianowski, Jan J.; Kovalchuk, Vasyl 2 2003 Klein-Gordon-Dirac equation: physical justification and quantization attempts. Zbl 1026.81011Sławianowski, Jan J.; Kovalchuk, Vasyl 4 2002 all cited Publications top 5 cited Publications all top 5 Cited by 23 Authors 8 Sławianowski, Jan Jerzy 5 Gołubowska, Barbara 5 Kovalchuk, Vasyl 4 Rożko, Ewa Eliza 3 Martens, Agnieszka 2 Mariano, Paolo Maria 1 Bogolyubov, Nikolaĭ Nikolaevich jun. 1 Burov, Aleksandr Anatol’evich 1 Chevallier, Dominique P. 1 Focardi, Matteo 1 Gobcewicz, Ewa 1 Godlewski, Piotr 1 Grigorescu, Marius 1 Kotowski, Romuald K. 1 Li, Jiyong 1 Pokutnyĭ, Oleksandr Olekseevich 1 Prykarpatsky, Anatoliy Karolevych 1 Ruan, Xinran 1 Sławianowska, Anna K. 1 Spadaro, Emanuele Nunzio 1 Su, Chunmei 1 Yi, Wenfan 1 Zarmi, Yair all top 5 Cited in 12 Serials 8 Reports on Mathematical Physics 2 Journal of Mathematical Physics 2 Mathematical Methods in the Applied Sciences 1 Archive for Rational Mechanics and Analysis 1 Journal of Mathematical Analysis and Applications 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Geometry and Physics 1 Mathematics and Computers in Simulation 1 Meccanica 1 Journal of Scientific Computing 1 Journal of Mathematical Sciences (New York) 1 Foundations of Physics all top 5 Cited in 11 Fields 10 Mechanics of particles and systems (70-XX) 10 Mechanics of deformable solids (74-XX) 8 Quantum theory (81-XX) 5 Partial differential equations (35-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Differential geometry (53-XX) 2 Numerical analysis (65-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year