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Vasyl Kovalchuk
Vasyl Kovalchuk
Assistant professor
Adresse e-mail validée de ippt.pan.pl
Titre
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Année
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
362004
Klein—Gordon—Dirac equation: Physical justification and quantization attempts
JJ Sławianowski, V Kovalchuk
reports on mathematical physics 49 (2-3), 249-257, 2002
322002
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
282005
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
232009
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
212003
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
182010
Classical and quantized affine physics: a step towards it
J Sławianowski, V Kovalchuk
Journal of Nonlinear Mathematical Physics 11 (sup1), 157-166, 2004
182004
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
142004
Green function for Klein-Gordon-Dirac equation
V Kovalchuk
Journal of Nonlinear Mathematical Physics 11 (Suppl 1), 72-77, 2004
132004
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
122011
Classical models of affinely-rigid bodies with “thickness” in degenerate dimension
V Kovalchuk, EE Rożko
122009
Search for the Geometrodynamical Gauge Group: Hypotheses and Some Results
JJ Sławianowski, V Kovalchuk
Proceedings of the Ninth International Conference on Geometry, Integrability …, 2008
122008
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
112011
Hamiltonian systems inspired by the Schrödinger equation
V Kovalchuk, JJ Slawianowski
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4, 046, 2008
112008
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
102011
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
92019
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
92012
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
92008
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
72005
Classical motions of infinitesimal rotators on Mylar balloons
V Kovalchuk, I Mladenov
Mathematical Methods in the Applied Sciences 43 (17), 9874-9887, 2020
62020
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