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Sławianowski J.J., Kovalchuk V., Schrödinger and related equations as Hamiltonian systems, manifolds of second-order tensors and new ideas of nonlinearity in quantum mechanics, REPORTS ON MATHEMATICAL PHYSICS, 65, 1, 29-76, 2010 |  |
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Sławianowski J.J., Kovalchuk V., Invariant geodetic problems on the projective group Pr(n,R), 5TH INTERNATIONAL CONFERENCE “SYMMETRY IN NONLINEARMATHEMATICAL PHYSICS”, 2003-06-23/06-29, KIEV (UA), 50, 2, 955-960, 2004 |  |
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Sławianowski J.J., Kovalchuk V., Classical and quantized affine physics: a step towards it, JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 11, Supplement, 157-166, 2004 |  |
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Sławianowski J.J., Kovalchuk V., Invariant geodetic problems on the affine group and related Hamiltonian systems, REPORTS ON MATHEMATICAL PHYSICS, 51, 2/3, 371-379, 2003 |  |
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Sławianowski J.J., Kovalchuk V., Klein-Gordon-Dirac equation: physical justification and quantization attempts, REPORTS ON MATHEMATICAL PHYSICS, 49, 2/3, 249-257, 2002 |  |
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Sławianowski J.J., Kovalchuk V., Gołubowska B., Martens A., Rożko E.E., Space‐time as a structured relativistic continuum, MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 41, 5404-5422, 2018 |  |
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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, 446, 1, 493-520, 2017 |  |
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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, 41, 1, 165-218, 2010 |  |
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Sławianowski J.J., Kovalchuk V., Gołubowska B., Martens A., Rożko E.E., Quantized mechanics of affinely-rigid bodies, MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 40, 18, 6900-6918, 2017 |  |
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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 SYSTEMS-SERIES B, 17, 2, 699-733, 2012 |  |
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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, 35, 17-42, 2012 |  |
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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, 23, 59-95, 2011 |  |
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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, 34, 1512-1540, 2011 |  |
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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, 22, 67-94, 2011 |  |
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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 Quantum-Mechanical Models with Symmetries, JOURNAL OF GEOMETRY AND SYMMETRY, 21, 61-94, 2011 |  |