Agnieszka Martens, Ph.D. 

Doctoral thesis
20060629  Hamiltonowskie i kwantowe układy z symetriami i więzami. Modele nieliniowe i ich zastosowania fizyczne
 596 
Recent publications
1.  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, ISSN: 0022247X, DOI: 10.1016/j.jmaa.2016.08.042, Vol.446, pp.493520, 2017 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, ISSN: 0022247X, DOI: 10.1016/j.jmaa.2016.08.042, Vol.446, pp.493520, 2017 Abstract: Keywords:  
2.  Sławianowski J.J., Kovalchuk V., Gołubowska B., Martens A., Rożko E.E., Quantized mechanics of affinelyrigid bodies, MATHEMATICAL METHODS IN THE APPLIED SCIENCES, ISSN: 01704214, DOI: 10.1002/mma.4501, pp.119, 2017 Sławianowski J.J., Kovalchuk V., Gołubowska B., Martens A., Rożko E.E., Quantized mechanics of affinelyrigid bodies, MATHEMATICAL METHODS IN THE APPLIED SCIENCES, ISSN: 01704214, DOI: 10.1002/mma.4501, pp.119, 2017 Abstract: Keywords:  
3.  Martens A., Test affinelyrigid bodies in Riemannian spaces and their quantization, ACTA PHYSICA POLONICA B, ISSN: 05874254, DOI: 10.5506/APhysPolB.46.843, Vol.46, No.4, pp.843862, 2015 Martens A., Test affinelyrigid bodies in Riemannian spaces and their quantization, ACTA PHYSICA POLONICA B, ISSN: 05874254, DOI: 10.5506/APhysPolB.46.843, Vol.46, No.4, pp.843862, 2015 Abstract: Keywords:  
4.  Martens A., Test rigid bodies in Riemannian spaces and their quantization, REPORTS ON MATHEMATICAL PHYSICS, ISSN: 00344877, DOI: 10.1016/S00344877(13)600385, Vol.71, No.3, pp.381398, 2013 Martens A., Test rigid bodies in Riemannian spaces and their quantization, REPORTS ON MATHEMATICAL PHYSICS, ISSN: 00344877, DOI: 10.1016/S00344877(13)600385, Vol.71, No.3, pp.381398, 2013 Abstract: Keywords:  
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 SYSTEMSSERIES B, ISSN: 15313492, DOI: 10.3934/dcdsb.2012.17.699, Vol.17, No.2, pp.699733, 2012 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 SYSTEMSSERIES B, ISSN: 15313492, DOI: 10.3934/dcdsb.2012.17.699, Vol.17, No.2, pp.699733, 2012 Abstract: Keywords:  
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: 01704214, DOI: 10.1002/mma.1531, Vol.35, pp.1742, 2012 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: 01704214, DOI: 10.1002/mma.1531, Vol.35, pp.1742, 2012 Abstract: Keywords:  
7.  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, ISSN: 13125192, DOI: 10.7546/jgsp2620123359, Vol.26, pp.3359, 2012 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, ISSN: 13125192, DOI: 10.7546/jgsp2620123359, Vol.26, pp.3359, 2012 Abstract: Keywords:  
8.  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: 01704214, DOI: 10.1002/mma.1462, Vol.34, pp.15121540, 2011 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: 01704214, DOI: 10.1002/mma.1462, Vol.34, pp.15121540, 2011 Abstract: Keywords:  
9.  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 QuantumMechanical Models with Symmetries, Journal of Geometry and Symmetry in Physics, DOI: 10.7546/jgsp2120116194, Vol.21, pp.6194, 2011 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 QuantumMechanical Models with Symmetries, Journal of Geometry and Symmetry in Physics, DOI: 10.7546/jgsp2120116194, Vol.21, pp.6194, 2011 Abstract: Keywords:  
10.  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, DOI: 10.7546/jgsp2220116794, Vol.22, pp.6794, 2011 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, DOI: 10.7546/jgsp2220116794, Vol.22, pp.6794, 2011 Abstract: Keywords:  
11.  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, DOI: 10.7546/jgsp2320115995, Vol.23, pp.5995, 2011 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, DOI: 10.7546/jgsp2320115995, Vol.23, pp.5995, 2011 Abstract: Keywords:  
12.  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: 05874254, DOI: 10.5506/APhysPolB.41.165, Vol.41, No.1, pp.165218, 2010 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: 05874254, DOI: 10.5506/APhysPolB.41.165, Vol.41, No.1, pp.165218, 2010 Abstract: Keywords:  
13.  Martens A., Sławianowski J.J., Affinelyrigid body and oscillatory dynamical models on GL(2,R), ACTA PHYSICA POLONICA B, ISSN: 05874254, Vol.41, No.8, pp.18471880, 2010 Martens A., Sławianowski J.J., Affinelyrigid body and oscillatory dynamical models on GL(2,R), ACTA PHYSICA POLONICA B, ISSN: 05874254, Vol.41, No.8, pp.18471880, 2010 Abstract: Keywords:  
14.  Martens A., Quantization of twodimensional affine bodies with stabilized dilatations, REPORTS ON MATHEMATICAL PHYSICS, ISSN: 00344877, Vol.62, No.2, pp.145155, 2008 Martens A., Quantization of twodimensional affine bodies with stabilized dilatations, REPORTS ON MATHEMATICAL PHYSICS, ISSN: 00344877, Vol.62, No.2, pp.145155, 2008 Abstract: Keywords:  
15.  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: 00344877, DOI: 10.1016/S00344877(05)800023, Vol.55, No.1, pp.146, 2005 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: 00344877, DOI: 10.1016/S00344877(05)800023, Vol.55, No.1, pp.146, 2005 Abstract: Keywords:  
16.  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 I. Classical models, REPORTS ON MATHEMATICAL PHYSICS, ISSN: 00344877, DOI: 10.1016/S00344877(04)800260, Vol.54, No.3, pp.373427, 2004 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 I. Classical models, REPORTS ON MATHEMATICAL PHYSICS, ISSN: 00344877, DOI: 10.1016/S00344877(04)800260, Vol.54, No.3, pp.373427, 2004 Abstract: Keywords: 
List of recent monographs
1. 473  Sławianowski J.J., Schroeck Jr. F.E.^{♦}, Martens A., Why must we work in the phase space?, IPPT Reports on Fundamental Technological Research, 1, pp.1162, 2016 
2. 67  Sławianowski J.J., Kovalchuk V., Gołubowska B., Martens A., Rożko E.E., Dynamical systems with internal degrees of freedom in nonEuclidean spaces, IPPT Reports on Fundamental Technological Research, 8, pp.1129, 2006 
3. 484  Sławianowski J.J., Kovalchuk V., Sławianowska A.^{♦}, Gołubowska B., Martens A., Rożko E.E., Zawistowski Z.J., Invariant geodetic systems on Lie groups and affine models of internal and collective degrees of freedom, Prace IPPT  IFTR Reports, Warszawa, 7, pp.1164, 2004 
List of chapters in recent monographs
1. 388  Sławianowski J.J., Martens A., Geometry, Integrability, Mechanics and Quantization, rozdział: Affinelyrigid body and oscillatory twodimensional models, Ivailo M. Mladenov, Mariana Hadzhilazova and Vasyl Kovalchuk (Editors), Avangard Prima, Sofia, pp.89105, 2015 
2. 392  Martens A., Geometry, Integrability, Mechanics and Quantization, rozdział: Affine models of internal degrees of freedom and their quantization, Ivailo M. Mladenov, Mariana Hadzhilazova and Vasyl Kovalchuk (Editors), Avangard Prima, Sofia, pp.306317, 2015 
3. 353  Kielanowski P.^{♦}, Martens A., Fizycy wspominają, rozdział: Rozmowa z Andrzejem Trautmanem – Moje pierwsze 50 lat na Hożej, red. Andrzej Michał Kobos, Polska Akademia Umiejętności, Kraków, pp.489523, 2014 
4. 252  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, pp.150175, 2012 
5. 35  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, pp.70155, 2011 
Conference papers
1.  Sławianowski J.J., Martens A., Affinelyrigid body and oscillatory twodimensional models, Geometry, Integrability and Quantization, ISSN: 13143247, DOI: 10.7546/giq16201594109, Vol.XVI, pp.94109, 2015 Sławianowski J.J., Martens A., Affinelyrigid body and oscillatory twodimensional models, Geometry, Integrability and Quantization, ISSN: 13143247, DOI: 10.7546/giq16201594109, Vol.XVI, pp.94109, 2015 Abstract: Keywords:  
2.  Martens A., Affine models of internal degrees of freedom and their quantization, Geometry, Integrability and Quantization, ISSN: 13143247, DOI: 10.7546/giq162015207218, Vol.XVI, pp.207218, 2015 Martens A., Affine models of internal degrees of freedom and their quantization, Geometry, Integrability and Quantization, ISSN: 13143247, DOI: 10.7546/giq162015207218, Vol.XVI, pp.207218, 2015 Abstract: Keywords:  
3.  Sławianowski J.J., Martens A., The dynamics of the field of linear frames and gauge gravitation, Geometry, Integrability and Quantization, ISSN: 13143247, DOI: 10.7546/gip142013201214, Vol.XIV, pp.201214, 2013 Sławianowski J.J., Martens A., The dynamics of the field of linear frames and gauge gravitation, Geometry, Integrability and Quantization, ISSN: 13143247, DOI: 10.7546/gip142013201214, Vol.XIV, pp.201214, 2013 Abstract: Keywords: 