Prof. Sławianowski Jan, Ph.D., Dr. Habil.
Department of Theory of Continuous Media (ZTOC)
Analytical Mechanics and Field Theory (PMAiTP)
retiree
telephone: (+48) 22 826 12 81 ext.: 135
room: 114
e-mail: jslawian
personal site: http://bluebox.ippt.pan.pl/~jslawian

Habilitation thesis
1976Teoria deformacji wielomianowych
Professor
1988nadanie tytuł naukowego profesora

Supervisor of doctoral thesis
1.2007Rożko Ewa Eliza  Układy dynamiczne na przestrzeniach jednorodnych i ich zastosowanie w mechanice kontinuum599
 
2.2006-06-29Martens Agnieszka Hamiltonowskie i kwantowe układy z symetriami i więzami. Modele nieliniowe i ich zastosowania fizyczne596
 
3.2006-06-29Gołubowska Barbara Ciało afinicznie sztywne w zakrzywionych przestrzeniach i rozmaitościach o stałej krzywiźnie597
 
4.2006-03-31Kovalchuk Vasyl Nonlinear models of collective and internal degrees of freedom in mechanics and field theory591
 
5.1996-04-27Godlewski Piotr C.  Uogólnione nieliniowości typu Borna-Infelda w mechanice i teorii pola522 
6.1994-06-30Makaruk Hanna E.  Grupowe i pseudogrupowe modele czasoprzestrzeni507 
7.1990Dorosiewicz Sławomir  O niektórych zagadnieniach teorii układów dynamicznych na rozmaitościach skończenie wymiarowych459 
8.1981Rudnicki Marek  Dyskretny model ośrodka z mikrostrukturą370 
9.1980Żuchowski Krzysztof  Fluktuacje elektrodynamiczne i reakcja ośrodka przewodzącego na zaburzenie zewnętrzne352 
10.1979Seredyńska Małgorzata Anna  Drgania nieliniowe ciał afinicznie sztywnych322 

Project manager
1. Nieliniowość, geometria i procesy kwantowe w złożonych strukturach materiałowych, Badania własne, Okres realizacji od 2011-05-11 do 2014-05-10, Finansowanie: NCN, N N501 0495 40
2. Kwantowe podstawy nieliniowej dynamiki ośrodków ze strukturą: nano, mikro, makro, Badania własne, Okres realizacji od 2007 do 2010, N501 018 32/1992

List of the recent publications
1.Gołubowska B., Kovalchuk V., Sławianowski J.J., Constraints and symmetry in mechanics of affine motion, JOURNAL OF GEOMETRY AND PHYSICS (ISSN: 0393-0440), Vol.78, pp.59-79, 2014
2.Ali G., Beneduci R., Mascali G., Schroeck Jr. F.E., Sławianowski J.J., Some Mathematical Considerations on Solid State Physics in the Framework of the Phase Space Formulation of Quantum Mechanics , INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS (ISSN: 0020-7748), Vol.53, pp.3546-3574, 2014
3.Rożko E.E., Sławianowski J.J., Essential Nonlinearity in Field Theory and Continuum Mechanics. Second- and First-Order Generally-Covariant Models, Journal of Geometry and Symmetry in Physics (ISSN: 1312-5192), Vol.34, pp.51-76, 2014
4.Blackmore D., Prykarpatski A.K., Bogolubov N.N. (Jr.), Sławianowski J.J., Mathematical foundations of the classical Maxwell-Lorentz electrodynamic models in the canonical Lagrangian and Hamiltonian formalisms, Universal Journal of Physics and Application, Vol.1, No.2, pp.160-178, 2013
5.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 (ISSN: 1531-3492), Vol.17, No.2, pp.699-733, 2012
6.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 (ISSN: 0170-4214), Vol.35, pp.17-42, 2012
7.Sławianowski J.J., Gołubowska B., Rożko E.E., SO(4,R), related groups and three-dimensional two-gyroscopic problems, ACTA PHYSICA POLONICA B (ISSN: 0587-4254), Vol.43, No.1, pp.19-49, 2012
8.Sławianowski J.J., Systems of Hamiltonian-Jacobi equations in terms of symplectic and contact geometry, Classical and Celestial Mechanics, 7-th International Symposium, Siedlce, pp.158-169, 2012
9.Sławianowski J.J., Gołubowska B., Hamiltonian systems on matrix manifolds and their physical applications, Classical and Celestial Mechanics, 7-th International Symposium, Siedlce, pp.158-169, 2012
10.Gołubowska B., Kovalchuk V., Martens A., Rożko E.E., Sławianowski J.J., Some strange features of the Galilei group, Journal of Geometry and Symmetry in Physics, Vol.26, pp.33-59, 2012
11.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 (ISSN: 0170-4214), Vol.34, pp.1512-1540, 2011
12.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 in Physics, Vol.23, pp.59-95, 2011
13.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 in Physics, Vol.22, pp.67-94, 2011
14.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 in Physics, Vol.21, pp.61-94, 2011
15.Martens A., Sławianowski J.J., Affinely-rigid body and oscillatory dynamical models on GL(2,R), ACTA PHYSICA POLONICA B (ISSN: 0587-4254), Vol.41, No.8, pp.1847-1880, 2010
16.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 (ISSN: 0587-4254), Vol.41, No.1, pp.165-218, 2010
17.Sławianowski J.J., Geometric nonlinearities in field theory, condensed matter and analytical mechanics, CONDENSED MATTER PHYSICS (ISSN: 1607-324X), Vol.13, No.4, pp.43103:1-19, 2010
18.Sławianowski J.J., Gołubowska B., Motion of test bodies with internal degrees of freedom in non-euclidean spaces, REPORTS ON MATHEMATICAL PHYSICS (ISSN: 0034-4877), Vol.65, No.3, pp.379-422, 2010
19.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 (ISSN: 0034-4877), Vol.65, No.1, pp.29-76, 2010
20.Kovalchuk V., Sławianowski J.J., Hamiltonian systems inspired by the Schroedinger equation, Symmetry, Integrability and Geometry: Methods and Applications, Vol.4, pp.46-54, 2008
21.Burov A.A., Motte I., Sławianowski J.J., Stepanov S.Y., Zadachi issledovanija ustojchivosti i stabilizatsii dvizhenija, Vychislitel’nyj Tsentr Rossijskoj Akademii Nauk, pp.93-106, 2006
22.Sławianowski J.J., Quantum systems on linear groups, INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS (ISSN: 0020-7748), Vol.44, No.11, pp.2027-2037, 2005
23.Sławianowski J.J., Classical and quantized affine models of structured media, MECCANICA (ISSN: 0025-6455), Vol.40, No.41005, pp.365-387, 2005
24.Sławianowski J.J., Kovalchuk V., Sławianowska A., Gołubowska B., Martens A., Rożko E.E., Zawistowski Z.J., Affine symmetry in mechanics of collective and internal modes. Part II. Quantum models, REPORTS ON MATHEMATICAL PHYSICS (ISSN: 0034-4877), Vol.55, No.1, pp.1-46, 2005
List of the latest monographs
1.Sławianowski J.J., Kovalchuk V., Gołubowska B., Martens A., Rożko E.E., Dynamical systems with internal degrees of freedom in non-Euclidean spaces, IPPT Reports on Fundamental Technological Research, 8, 1-129, 2006
List of chapters in the latest monographs
1.Rożko E.E., Sławianowski J.J., Geometry, Integrability and Quantization XV, rozdział: Essential Nonlinearity in Field Theory and Continuum Mechanics. Second- and First-Order Generally-Covariant Models, Agangard Prima, 218-241, 2014
2.Sławianowski J.J., Kovalchuk V., Advances in Quantum Mechanics, rozdział: Schroedinger equation as a hamiltonian system, essential nonlinearity, dynamical scalar product and some ideas of decoherence, Prof. Paul Bracken (Ed.), InTech, Rijeka, 81-103, 2013
3.Gołubowska B., Kovalchuk V., Rożko E.E., Sławianowski J.J., Geometry, Integrability and Quantization XIV, rozdział: Some Constraints and Symmetries in Dynamics of Homogeneously Deformable Elastic Bodies, Ivailo M. Mladenov, Andrei Ludu and Akira Yoshioka (Editors), Avangard Prima, Sofia, 103-115, 2013
4.Sławianowski J.J., Martens A., Geometry, Integrability and Quantization XIV, rozdział: The dynamics of the field of linear frames and gauge gravitation, Ivailo M. Mladenov, Andrei Ludu and Akira Yoshioka (Editors), Avangard Prima, Sofia, 201-214, 2013
5.Gołubowska B., Kovalchuk V., Martens A., Rożko E.E., Sławianowski J.J., Geometry, Integrability and Quantization XIII, rozdział: Some strange features of the Galilei group, Editors: Ivailo M. Mladenov, Andrei Ludu and Akira Yoshioka, Avangard Prima, Sofia, 150-175, 2012
6.Vassilev V.M., Djondjorov P.A., Hadzhilazova M.T., Mladenov I.M., Sławianowski J.J., Mechanics and Nanomaterials and Nanotechnology, Series in Applied Mathematics, rozdział: Equilibrium shapes of fluid membranes and carbon nanostructures, Institute of Mechanics Bulgarian Academy of Sciences, 3, 153-184, 2012
7.Sławianowski J.J., Classical and Celestial Mechanics, Selected Papers, rozdział: Systems of Hamilton-Jacobi Equations in Terms of Symplectic and Contact Geometry, Wydawnictwo Collegium Mazovia, Eds: L. Gadomski, P. Krasilnikov, and A. Prokopenya. Russian Academy of Science, Lomonosov Moscow State University, Moscow State Aviation Institute, Dorodnitsyn Computing Centre of RAS, Collegium Mazovia, Siedlce, 170-193, 2012
8.Sławianowski J.J., Gołubowska B., Classical and Celestial Mechanics, Selected Papers, rozdział: Hamiltonian Systems on Matrix Manifolds and Their Applications, Wydawnictwo Collegium Mazovia, Eds: L. Gadomski, P. Krasilnikov, and A. Prokopenya. Russian Academy of Science, Lomonosov Moscow State University, Moscow State Aviation Institute, Dorodnitsyn Computing Centre of RAS, Collegium Mazovia, Siedlce, 158-169, 2012
9.Sławianowski J.J., Mesurements in Quantum Mechanics, rozdział: Order of time derivatives in quantum-mechanical equations, InTech Europe, 57-74, 2012
10.Sławianowski J.J., Mathematical Methods in Continuum Mechanics, A Series of Monographs Technical University of Łódź, rozdział: Symmetries and Constraints in Mechanics of Continua, Technical University of Łódź Press, Eds: K. Wilmański, B. Michalak, J. Jędrysiak, 195-211, 2011
11.Sławianowski J.J., Kovalchuk V., Martens A., Gołubowska B., Rożko E.E., Geometry, Integrability and Quantization XII, rozdział: Quasiclassical and Quantum Dynamics of Systems of Angular Momenta, Editors: Ivailo M. Mladenov, Gaetano Vilasi and Akira Yoshioka, Avangard Prima, Sofia, 70-155, 2011
12.Sławianowski J.J., Kovalchuk V., Problems of stability and stabilization of motion, Bulletin of Computing Centre named after A.A.Dorodnitsyn, rozdział: Symmetries and geometrically implied nonlinearities in mechanics and field theory, Russian Academy of Sciences, Stepanov S.Ja., Burov A.A. (Eds.), 119-150, 2009
13.Sławianowski J.J., Kovalchuk V., Geometry, integrability and quantization, Proceedings of the 9th International Conference, rozdział: Search for the geometrodynamical gauge group. Hypotheses and some results, Bulgarian Academy of Sciences, Mladenov M.I., De Leon M. (Eds.), 63-132, 2008
14.Sławianowski J.J., Geometry, integrability and quantization, Proceedings of the 8th International Conference, rozdział: Geometrically implied nonlinearities in mechanics and field theory, Bulgarian Academy of Sciences, Mladenov M.I., De Leon M. (Eds.), 48-118, 2007
15.Sławianowski J.J., Material substructures in complex bodies, from atomic level to continuum, rozdział: Quantization of affine bodies: Theory and applications in mechanics of structured media, Elsevier, Capriz G., Mariano P.P. (Eds.), 80-162, 2007
16.Sławianowski J.J., Topics in mathematical physics, General relativity and cosmology in honor of Jerzy Plebanski, rozdział: Teleparallelism, Modified Born-Infeld nonlinearity and space-time as a micromorphic Ether, World Scientific, García-Compeán H., Mielnik B., Montesinos M., Przanowski M. (Eds.), 441-452, 2006