Edit Profile (opens in new tab) Sławianowski, Jan Jerzy Co-Author Distance Author ID: slawianowski.jan-jerzy Published as: Sławianowski, Jan J.; Sławianowski, J. J.; Slawianowski, Jan J.; Sławianowski, Jan Jerzy; Slawianowski, J. J.; Sł{a}wianowski, Jan Jerzy; Slawianowski, Jan Jerzy; Sławianowski, Jan more...less Documents Indexed: 78 Publications since 1974 Co-Authors: 17 Co-Authors with 41 Joint Publications 100 Co-Co-Authors all top 5 Co-Authors 37 single-authored 26 Kovalchuk, Vasyl 20 Gołubowska, Barbara 18 Martens, Agnieszka 11 Rożko, Ewa Eliza 4 Sławianowska, Anna K. 1 Alì, Giuseppe 1 Beneduci, Roberto 1 Burov, Aleksandr Anatol’evich 1 Flotte, I. 1 Kotowski, Romuald K. 1 Mascali, Giovanni 1 Rożko, Eliza E. 1 Rożko, Eva E. 1 Schroeck, Franklin E. jun. 1 Slominski, Jerzy 1 Stepanov, S. Ya. 1 Trzȩsowski, Andrzej all top 5 Serials 20 Reports on Mathematical Physics 7 Archives of Mechanics 6 International Journal of Theoretical Physics 4 Mathematical Methods in the Applied Sciences 4 Journal of Geometry and Symmetry in Physics 2 Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Techniques 2 Bulletin de l’Academie Polonaise des Sciences. Serie des Sciences Physiques et Astronomiques 2 Journal of Nonlinear Mathematical Physics 2 Acta Physica Polonica B 1 Journal of Mathematical Analysis and Applications 1 Journal of Technical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Journal of Geometry and Physics 1 Fortschritte der Physik 1 Meccanica 1 Discrete and Continuous Dynamical Systems. Series B 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Prace IPPT - IFTR Reports all top 5 Fields 44 Mechanics of particles and systems (70-XX) 30 Quantum theory (81-XX) 16 Dynamical systems and ergodic theory (37-XX) 16 Relativity and gravitational theory (83-XX) 15 Differential geometry (53-XX) 15 Mechanics of deformable solids (74-XX) 12 Topological groups, Lie groups (22-XX) 6 Group theory and generalizations (20-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral transforms, operational calculus (44-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Partial differential equations (35-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 46 Publications have been cited 174 times in 84 Documents Cited by ▼ Year ▼ The mechanics of the homogeneously-deformable body. Dynamical models with high symmetries. Zbl 0506.73033Slawianowski, J. J. 22 1982 Analytical mechanics of finite homogeneous strains. Zbl 0307.73003Slawianowski, J. J. 13 1974 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. 12 2004 Bertrand systems on spaces of constant sectional curvature. The action-angle analysis. Zbl 1026.37069Sławianowski, Jan J. 12 2000 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. 11 2005 Newtonian dynamics of homogeneous strains. Zbl 0337.73001Slawianowski, J. J. 7 1975 Global invariance and Lie-algebraic description in the theory of dislocations. Zbl 0715.73015Trzȩsowski, Andrzej; Sławianowski, Jan J. 7 1990 Klein-Gordon-Dirac equation: physical justification and quantization attempts. Zbl 1026.81011Sławianowski, Jan J.; Kovalchuk, Vasyl 6 2002 Field of linear frames as a fundamental self-interacting system. Zbl 0629.53076Sławianowski, Jan J. 6 1985 Classical and quantum collective dynamics of deformable objects. Symmetry and integrability problems. Zbl 1318.70013Sławianowski, Jan J. 5 2004 Affinely rigid body and Hamiltonian systems on GL(n,\({\mathbb{R}})\). Zbl 0679.70010Sławianowski, Jan J. 5 1988 Quantum and classical models based on \(\text{GL}(N)\)-symmetry. Zbl 1068.82514Slawianowski, Jan J. 4 2002 Bertrand systems on \(\mathrm{SO}(3,\mathbb R)\) and \(\mathrm{SU}(2)\). Zbl 0517.70004Slawianowski, Jan J. 4 1980 The mechanics of an affinely-rigid body. Zbl 0351.70014Slawianowski, Jan J. 4 1975 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 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. 3 2006 Linear frames in manifolds, Riemannian structures and description of internal degrees of freedom. Zbl 1055.70006Sławianowski, Jan J. 3 2003 Classical and quantized affine models of structured media. Zbl 1106.74012Sławianowski, Jan J. 3 2005 \(U(2,2)\)-invariant spinorial geometrodynamics. Zbl 0884.53073Sławianowski, Jan J. 3 1996 Lie-algebraic solutions of affinely-invariant equations for the field of linear frames. Zbl 0638.53070Sławianowski, Jan J. 3 1986 Geodetic systems on linear and affine groups. Classics and quantization. Zbl 1362.20037Sławianowski, Jan J. 3 2004 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 Hamiltonian systems inspired by the Schrödinger equation. Zbl 1192.81131Kovalchuk, Vasyl; Slawianowski, Jan Jerzy 2 2008 \(U(2,2)\) symmetry as a common basis for quantum theory and geometrodynamics. Zbl 0943.83047Sławianowski, Jan J. 2 1998 Deformable gyroscope in a non-Euclidean space classical, nonrelativistic theory. Zbl 0352.70004Slawianowski, Jan J. 2 1976 Teleparallelism, modified Born-Infeld nonlinearity and space-time as a micromorphic ether. Zbl 1133.83390Sławianowski, Jan J. 2 2006 On stability and bifurcations of steady motions of a dumbbell in a sphere. Zbl 1154.70325Burov, A. A.; Flotte, I.; Slawianowski, J. J.; Stepanov, S. Ya. 2 2006 Motion of test bodies with internal degrees of freedom in non-Euclidean spaces. Zbl 1221.74009Sławianowski, J. J.; Gołubowska, B. 2 2010 Invariant geodetic problems on the projective group \(Pr(n,R)\). Zbl 1096.37053Sławianowski, J. J.; Kovalchuk, V. 1 2004 Virial coefficients, collective modes and problems with the Galerkin procedure. Zbl 0801.70009Sławianowski, J. J.; Sławianowska, A. K. 1 1993 Quantized Bertrand systems on SO(3,R) and SU(2). Zbl 0517.70005Slawianowski, Jan J.; Slominski, Jerzy 1 1980 Quantization of affinely rigid body in \(n\)-dimensions. Zbl 0757.58016Sławianowska, Anna K.; Sławianowski, Jan J. 1 1991 Quantum systems on linear groups. Zbl 1101.81056Sławianowski, J. J. 1 2005 Spinors, gravity and recalibration invariance. Microphysical motivation for the Weyl geometry. Zbl 0883.53014Sławianowski, Jan J. 1 1995 Abelian groups and the Weyl approach to kinematics. Nonlocal function- algebras. Zbl 0306.43007Slawianowski, Jan J. 1 1974 Geometrically implied nonlinearities in mechanics and field theory. Zbl 1126.70014Sławianowski, Jan Jerzy 1 2007 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 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 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 Internal symmetries of geometrodynamical models. Zbl 1007.83028Sławianowski, Jan J. 1 2001 One-dimensional chains, matrix groups and quantization of Poisson structures. Zbl 0935.37028Sławianowski, J. J. 1 1998 Affinely-rigid body and oscillatory dynamical models on \(\mathrm{GL}(2,\mathbb R)\). Zbl 1371.70011Martens, A.; Sławianowski, J. J. 1 2010 Algorithms for reactions of nonholonomic constraints and servo- constraints. Zbl 0672.70019Sławianowski, J. J. 1 1987 Space-time as a micromorphic continuum. Zbl 0714.53055Sławianowski, Jan J. 1 1990 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 Motion of test bodies with internal degrees of freedom in non-Euclidean spaces. Zbl 1221.74009Sławianowski, J. J.; Gołubowska, B. 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 Affinely-rigid body and oscillatory dynamical models on \(\mathrm{GL}(2,\mathbb R)\). Zbl 1371.70011Martens, A.; Sławianowski, J. J. 1 2010 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 Geometrically implied nonlinearities in mechanics and field theory. Zbl 1126.70014Sławianowski, Jan Jerzy 1 2007 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. 3 2006 Teleparallelism, modified Born-Infeld nonlinearity and space-time as a micromorphic ether. Zbl 1133.83390Sławianowski, Jan J. 2 2006 On stability and bifurcations of steady motions of a dumbbell in a sphere. Zbl 1154.70325Burov, A. A.; Flotte, I.; Slawianowski, J. J.; Stepanov, S. Ya. 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. 11 2005 Classical and quantized affine models of structured media. Zbl 1106.74012Sławianowski, Jan J. 3 2005 Quantum systems on linear groups. Zbl 1101.81056Sławianowski, J. J. 1 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. 12 2004 Classical and quantum collective dynamics of deformable objects. Symmetry and integrability problems. Zbl 1318.70013Sławianowski, Jan J. 5 2004 Geodetic systems on linear and affine groups. Classics and quantization. Zbl 1362.20037Sławianowski, Jan J. 3 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 Linear frames in manifolds, Riemannian structures and description of internal degrees of freedom. Zbl 1055.70006Sławianowski, Jan J. 3 2003 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 6 2002 Quantum and classical models based on \(\text{GL}(N)\)-symmetry. Zbl 1068.82514Slawianowski, Jan J. 4 2002 Internal symmetries of geometrodynamical models. Zbl 1007.83028Sławianowski, Jan J. 1 2001 Bertrand systems on spaces of constant sectional curvature. The action-angle analysis. Zbl 1026.37069Sławianowski, Jan J. 12 2000 \(U(2,2)\) symmetry as a common basis for quantum theory and geometrodynamics. Zbl 0943.83047Sławianowski, Jan J. 2 1998 One-dimensional chains, matrix groups and quantization of Poisson structures. Zbl 0935.37028Sławianowski, J. J. 1 1998 \(U(2,2)\)-invariant spinorial geometrodynamics. Zbl 0884.53073Sławianowski, Jan J. 3 1996 Spinors, gravity and recalibration invariance. Microphysical motivation for the Weyl geometry. Zbl 0883.53014Sławianowski, Jan J. 1 1995 Virial coefficients, collective modes and problems with the Galerkin procedure. Zbl 0801.70009Sławianowski, J. J.; Sławianowska, A. K. 1 1993 Quantization of affinely rigid body in \(n\)-dimensions. Zbl 0757.58016Sławianowska, Anna K.; Sławianowski, Jan J. 1 1991 Global invariance and Lie-algebraic description in the theory of dislocations. Zbl 0715.73015Trzȩsowski, Andrzej; Sławianowski, Jan J. 7 1990 Space-time as a micromorphic continuum. Zbl 0714.53055Sławianowski, Jan J. 1 1990 Affinely rigid body and Hamiltonian systems on GL(n,\({\mathbb{R}})\). Zbl 0679.70010Sławianowski, Jan J. 5 1988 Algorithms for reactions of nonholonomic constraints and servo- constraints. Zbl 0672.70019Sławianowski, J. J. 1 1987 Lie-algebraic solutions of affinely-invariant equations for the field of linear frames. Zbl 0638.53070Sławianowski, Jan J. 3 1986 Field of linear frames as a fundamental self-interacting system. Zbl 0629.53076Sławianowski, Jan J. 6 1985 The mechanics of the homogeneously-deformable body. Dynamical models with high symmetries. Zbl 0506.73033Slawianowski, J. J. 22 1982 Bertrand systems on \(\mathrm{SO}(3,\mathbb R)\) and \(\mathrm{SU}(2)\). Zbl 0517.70004Slawianowski, Jan J. 4 1980 Quantized Bertrand systems on SO(3,R) and SU(2). Zbl 0517.70005Slawianowski, Jan J.; Slominski, Jerzy 1 1980 Deformable gyroscope in a non-Euclidean space classical, nonrelativistic theory. Zbl 0352.70004Slawianowski, Jan J. 2 1976 Newtonian dynamics of homogeneous strains. Zbl 0337.73001Slawianowski, J. J. 7 1975 The mechanics of an affinely-rigid body. Zbl 0351.70014Slawianowski, Jan J. 4 1975 Analytical mechanics of finite homogeneous strains. Zbl 0307.73003Slawianowski, J. J. 13 1974 Abelian groups and the Weyl approach to kinematics. Nonlocal function- algebras. Zbl 0306.43007Slawianowski, Jan J. 1 1974 all cited Publications top 5 cited Publications all top 5 Cited by 75 Authors 18 Sławianowski, Jan Jerzy 8 Gołubowska, Barbara 8 Rañada, Manuel F. 8 Santander, Mariano 7 Cariñena, José F. 7 Kovalchuk, Vasyl 7 Martens, Agnieszka 4 Burov, Aleksandr Anatol’evich 4 Rożko, Ewa Eliza 3 Muñoz Masqué, Jaime 3 Trzȩsowski, Andrzej 2 Asghari, Mohsen 2 Epstein, Marcelo 2 Godlewski, Piotr 2 Javadi, Mohammadjavad 2 Li, Jiyong 2 Makaruk, Hanna E. 2 Mariano, Paolo Maria 2 Marsden, Jerrold Eldon 2 Papadopoulos, Panayiotis 2 Rosado María, Eugenia 2 Rubin, Miles B. 2 Sławianowska, Anna K. 2 Solberg, Jerome M. 2 Soldatos, D. 1 Antonets, Mikhail A. 1 Balandin, Dmitriĭ Vladimirovich 1 Banach, Zbigniew 1 Bizyaev, Ivan Alekseevich 1 Bogolyubov, Nikolaĭ Nikolaevich jun. 1 Borisov, Alekseĭ Vladimirovich 1 Castro Perelman, Carlos 1 Chevallier, Dominique P. 1 Focardi, Matteo 1 Geng, Fazhan 1 Givli, Sefi 1 Gobcewicz, Ewa 1 Golebiewska-Lasota, Alicja A. 1 Goździewski, Krzysztof 1 Grigorescu, Marius 1 Guerman, Anna D. 1 Guseinov, Gusein Sh. 1 Hanukah, Eli 1 Jabareen, Mahmood 1 Kosenko, Ivan Ivanovich 1 Kotowski, Romuald K. 1 Kozlov, Valeriĭ Vasil’evich 1 Lewis, Debra 1 Liao, Feng 1 Mamaev, Ivan Sergeevich 1 Matteucci, Paolo 1 Mrugała, Ryszard 1 Oikonomou, Vasilis K. 1 O’Reilly, Oliver Mary 1 Panoskaltsis, Vassilis P. 1 Piekarski, Slawomir 1 Pokutnyĭ, Oleksandr Olekseevich 1 Pozo Coronado, Luis M. 1 Prykarpatsky, Anatoliy Karolevych 1 Roberts, Richard Mark 1 Ruan, Xinran 1 Shereshevskii, Ilya Aronovich 1 Simo, Juan Carlos 1 Spadaro, Emanuele Nunzio 1 Su, Chunmei 1 Tolar, Jiří 1 Trávníček, Pavel M. 1 Triantafyllou, Savvas P. 1 Trzşowski, Andrzej 1 Uldall Kristiansen, K. 1 Wang, Tingchun 1 Wulff, Claudia 1 Yavari, Arash 1 Yi, Wenfan 1 Zarmi, Yair all top 5 Cited in 30 Serials 29 Reports on Mathematical Physics 9 International Journal of Theoretical Physics 9 Journal of Mathematical Physics 3 Journal of Geometry and Physics 2 Archive for Rational Mechanics and Analysis 2 International Journal of Engineering Science 2 Mathematical Methods in the Applied Sciences 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Mathematics and Computers in Simulation 2 Celestial Mechanics and Dynamical Astronomy 2 Journal of Mathematical Sciences (New York) 1 Acta Mechanica 1 Journal of Applied Mathematics and Mechanics 1 Journal of Mathematical Analysis and Applications 1 Journal of the Mechanics and Physics of Solids 1 Moscow University Mechanics Bulletin 1 Theoretical and Mathematical Physics 1 Prikladnaya Matematika i Mekhanika 1 International Journal for Numerical Methods in Engineering 1 Meccanica 1 Computational Mechanics 1 Journal of Scientific Computing 1 Annals of Physics 1 Continuum Mechanics and Thermodynamics 1 European Journal of Mechanics. A. Solids 1 Regular and Chaotic Dynamics 1 Communications in Nonlinear Science and Numerical Simulation 1 International Journal of Geometric Methods in Modern Physics 1 Foundations of Physics 1 Journal of Physics A: Mathematical and Theoretical all top 5 Cited in 19 Fields 33 Mechanics of particles and systems (70-XX) 29 Mechanics of deformable solids (74-XX) 21 Quantum theory (81-XX) 20 Differential geometry (53-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Relativity and gravitational theory (83-XX) 8 Partial differential equations (35-XX) 7 Global analysis, analysis on manifolds (58-XX) 4 Nonassociative rings and algebras (17-XX) 4 Numerical analysis (65-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year