Affine symmetry in mechanics of collective and internal modes Part I. classical models JJ Sławianowski, V Kovalchuk, A Sławianowska, B Gołubowska, ... Reports on Mathematical Physics 54 (3), 373-427, 2004 | 36 | 2004 |
Klein—Gordon—Dirac equation: Physical justification and quantization attempts JJ Sławianowski, V Kovalchuk reports on mathematical physics 49 (2-3), 249-257, 2002 | 34 | 2002 |
Affine symmetry in mechanics of collective and internal modes Part II. Quantum models JJ Sławianowski, V Kovalchuk, A Sławianowska, B Gołubowska, ... Reports on Mathematical Physics 55 (1), 1-46, 2005 | 28 | 2005 |
Quantized excitations of internal affine modes and their influence on Raman spectra JJ Sławianowski, V Kovalchuk, B Gołubowska, A Martens, EE Rożko arXiv preprint arXiv:0901.0243, 2009 | 23 | 2009 |
Invariant geodetic problems on the affine group and related Hamiltonian systems JJ Slawianowski, V Kovalchuk Reports on Mathematical Physics 51 (2-3), 371-379, 2003 | 21 | 2003 |
Schrödinger and related equations as Hamiltonian systems, manifolds of second-order tensors and new ideas of nonlinearity in quantum mechanics JJ Sławianowski, V Kovalchuk Reports on Mathematical Physics 65 (1), 29-76, 2010 | 18 | 2010 |
Classical and quantized affine physics: a step towards it J Sławianowski, V Kovalchuk Journal of Nonlinear Mathematical Physics 11 (sup1), 157-166, 2004 | 18 | 2004 |
Invariant geodetic systems on Lie groups and affine models of internal and collective degrees of freedom JJ Sławianowski, V Kovalchuk, A Sławianowska, B Gołubowska, ... Prace IPPT–IFTR Reports 7, 164, 2004 | 14 | 2004 |
Green function for Klein-Gordon-Dirac equation V Kovalchuk Journal of Nonlinear Mathematical Physics 11 (Suppl 1), 72-77, 2004 | 13 | 2004 |
Mechanics of systems of affine bodies. Geometric foundations and applications in dynamics of structured media JJ Sławianowski, V Kovalchuk, A Martens, B Gołubowska, EE Rożko Mathematical methods in the applied sciences 34 (12), 1512-1540, 2011 | 12 | 2011 |
Classical models of affinely-rigid bodies with “thickness” in degenerate dimension V Kovalchuk, EE Rożko | 12 | 2009 |
Search for the Geometrodynamical Gauge Group: Hypotheses and Some Results JJ Sławianowski, V Kovalchuk Proceedings of the Ninth International Conference on Geometry, Integrability …, 2008 | 12 | 2008 |
Quasiclassical and quantum systems of angular momentum. Part I. Group algebras as a framework for quantum-mechanical models with symmetries JJ Slawianowski, V Kovalchuk, A Martens, B Golubowska, EE Rozko | 11 | 2011 |
Hamiltonian systems inspired by the Schrödinger equation V Kovalchuk, JJ Slawianowski SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4, 046, 2008 | 11 | 2008 |
Quasiclassical and Quantum Systems of Angular Momentum. Part II. Quantum Mehanics on Lie Groups and Methods of Group Algebras JJ Slawianowski, V Kovalchuk, A Martens, B Golubowska, EE Rozko | 10 | 2011 |
Mechanics of infinitesimal test bodies on Delaunay surfaces: spheres and cylinders as limits of unduloids and their action-angle analysis V Kovalchuk, B Gołubowska, I Mladenov | 9 | 2019 |
ESSENTIAL NONLINEARITY IMPLIED BY SYMMETRY GROUP. PROBLEMS OF AFFINE INVARIANCE IN MECHANICS AND PHYSICS. JJ Sławianowski, V Kovalchuk, A Martens, B Gołubowska, EE Rożko Discrete & Continuous Dynamical Systems-Series B 17 (2), 2012 | 9 | 2012 |
Dynamical systems with internal degrees of freedom in non-Euclidean spaces JJ Sławianowski, V Kovalchuk, B Gołubowska, A Martens, EE Rożko arXiv preprint arXiv:0802.3115, 2008 | 9 | 2008 |
Classical motions of infinitesimal rotators on Mylar balloons V Kovalchuk, I Mladenov Mathematical Methods in the Applied Sciences 43 (17), 9874-9887, 2020 | 8 | 2020 |
Affine symmetry in mechanics of collective and internal modes. Part II JJ Slawianowski, V Kovalchuk, A Slawianowska, B Golubowska, ... Quantum models, Rep. Math. Phys 55, 1-45, 2005 | 7 | 2005 |