Publications of Marek Szopa

  1. M. Szopa; Equitable distribution in a three players problem; Studies in Logic Grammar and Rhetoric
  2. M. Szopa; Strategia szachowa – negocjacje w praktyce; Proseed 34, (6/2013) 86-87
  3. M. Szopa; Wygrać w negocjacjach, czyli sztuka ustępowania; Proseed 34, (6/2013) 82-85
  4. M. Szopa; Dlaczego w dylemat więźnia warto grać kwantowo? „Modelowanie Preferencji a Ryzyko” Uniwersytetu Ekonomicznego w Katowicach
  5. M. Szeląg and M. Szopa; Persistent currents in distorted quantum ring; Journal of Physics: Conference Series 104 (2008) 012006
  6. E. Zipper, M. Kurpas, M. Szeląg, J. Dajka and M. Szopa; Flux qubit on mesoscopic nonsuperconducting ring; Phys Rev B 74, (2006) 125426
  7. M. Margańska, M. Szopa and E. Zipper; Symmetric and asymmetric dispersion relation in graphene J. Phys C 30 (2006) 302-306
  8. M. Szopa, E. Zipper, M. Szeląg, M. Kurpas, Coherent quantum dynamics of mesoscopic metallic ring with a barrier J. Phys C 30 (2006) 224-229
  9. M. Margańska and M. Szopa; Carbon nanotubes in parallel magnetic field; Trends in Nanotubes Research, Nova Science Publishers 2006; ISBN: 1-59454-791-2; pp 185-215
  10. M. Margańska, M. Szopa and E. Zipper Orbital magnetic moments in pure and doped carbon nanotubes Physical Review B 72 (2005) 115406-1-9
  11. J. Dajka, M. Szopa, A. Vourdas, E. Zipper The influence of nonclassical electromagnetic fields on the properties of persistent currents phys. stat. sol. b 242 296-302 2005
  12. M. Margańska, M. Szopa, E. Zipper Aharonov-Bohm effect in carbon nanotubes and tori phys. stat. sol. b 242 285-290 2005
  13. J. Dajka, J. Łuczka, M. Szopa and P. Hanggi Collective behaviour of coupled mesoscopic cylinders phys. stat. sol. (b) 242 196-202 2005
  14. M. Margańska, M. Szopa and E. Zipper Collective phenomena in multiwall carbon nanotubes Acta Phys. Pol. A 106 609-616 2004
  15. M. Szopa, M. Margańska, E. Zipper and M. Lisowski Coherence of persistent currents in multiwall carbon nanotubes Phys. Rev. B70 075406 2004
  16. J. Dajka, M. Szopa, A. Vourdas, E. Zipper Persistent currents in the presence of nonclassical electromagnetic fields Physical Review B 69 45305 2004
  17. M. Szopa, M. Margańska and E. Zipper Geometry & Topology Induced Electronical Properties of Graphene Derived Quantum Systems Int. J. of Th. Phys. 42 1119 2003
  18. M. Czechowska, M. Szopa and E. Zipper Nondissipative orbital currents in finite quantum systems a comparative study Int. J. of Th. Phys. 42 1119 2003
  19. M. Czechowska, M. Lisowski, M. Szopa and E. Zipper Possibility of flux expulsion and flux trapping in thick mesoscopic cylinders Phys Rev B 68 35320 2003
  20. M. Czechowska, M. Lisowski, M. Marganska, M. Szopa and E. Zipper Fascinating Properties of Carbon Nanotubes In T.Lulek, B.Lulek and A.Wal (eds), Symmetry and Structural Prop. of Cond. Matter VII World Scientific 88 102 2003
  21. J. Dajka, M. Kostur, J.Luczka, M. Szopa and E. Zipper Noise-assisted currents in a cylinder-like set of mesoscopic rings Acta Phys. Pol. B 34 3793-3811 2003
  22. J. Dajka, J.Luczka and M. Szopa Stationary flux in mesoscopic noisy cylinders In T.Lulek, B.Lulek and A.Wal (eds), Symmetry and Structural Prop. of Cond. Matter VII World Scientific 172 177 2003
  23. J. Dajka, J. Luczka, M. Szopa and E. Zipper Currents in a system of noisy mesoscopic rings Phys Rev. B 67 73305-8 2003
  24. J. Dajka and M. Szopa Holonomy in quaternionic quantum mechanics Int. J. of Th. Phys. 42 1119 2003
  25. J. Dajka and M. Szopa Algebraization of the spectral problem in the Bargmann-Fock representation Int. J. of Th. Phys. 42 1119 2003
  26. M. Szopa, M. Marganska and E. Zipper Persistent currents in carbon nanotubes Phys. Lett. A 299 593-600 2002
  27. E. Zipper, J. Dajka and M. Szopa Mutual Inductance and Selfinductance in Mesoscopic Systems Acta Phys. Pol. A102 419 2002
  28. A. Ceulemans, S. Compernolle, A. Delabie, K. Somers, L.F. Chibotaru, P.W. Fowler, M. Marga?ska, M. Szopa Electronic structure of polyhedral carbon cages consisting of hexagons and triangles Phys. Rev. B 65 115412 2002
  29. M. Szopa The Electronic Properties of Tetrahedrally Symmetric (3,6) Cages, in T.Lulek, B.Lulek, A.Wal (eds) Symmetry @ Structural Properties of Cond. Matter VI World Scientific 248-260 2001
  30. M. Margańska and M. Szopa Persistent currents in twisted tori made of chiral nanotubes Acta Phys. Polonica B 32 427-436 2001
  31. M. Szopa Quaternions and equidistributive eigenvectors of graphs with point group symmetries in T.Lulek, B.Lulek and A.Wal (eds), Symmetry and Structural Prop. of Cond. Matter V World Scientific 243 - 254 1999
  32. A. Ceulemans, L.F. Chibotaru, P. Fowler and M. Szopa Symmetry extensions of Eulers polyhedral theorem and the band theory of solids J. Chem. Phys. 110 6916-6926 1999
  33. A. Ceulemans, P. Fowler and M. Szopa Quaternions and Equidistributive Eigenvectors of Symmetric Graphs Mathematical Proceedings of the Royal Irish Academy, 98A 139-151 1998
  34. M. Szopa and A. Ceulemans Quasi exact solvability of a system of coupled equations: the canonical form of the Rabi and E + e Jahn-Teller Hamiltonians in T.Lulek, W.Florek and B.Lulek (eds), Symmetry and Structural Prop. of Cond. Matter IV World Scient
  35. M. Szopa and A. Ceulemans The canonical form of E?e Jahn-Teller Hamiltonian J. Phys. A, 30 1295-1302 1997
  36. M. Stebelski, M. Szopa and E. Zipper Spontaneous Currents in Mesoscopic Cylinders Molecular Phys. Rep. 17 215-220 1997
  37. M. Stebelski, M. Szopa and E. Zipper Coherence of Currents in the Mesoscopic Cylinder Z. Physik B 103 79 1997
  38. M. Szopa, G. Mys and A. Ceulemans The canonical form of the Rabi Hamiltonian J. Math. Phys. 37 5402-5411 1996
  39. A. Ceulemans, M. Szopa and P. Fowler Homology groups, symmetry representations and polyhedral clusters Europhys. Letters 36 645-649 1996
  40. M.Szopa The Topology of Geometric Phase in Quantum Physics M. Ku?ma and A. Wal (eds), Hidden Symmetry of Physical Structures Recipe of Weil,WSP Rzesz?w 29-38 1995
  41. M.Szopa and E.Zipper Spontaneous Flux and Flux Trapped in Mesoscopic Cylinders Int. J. Mod. Phys. B 9 161-175 1995
  42. E.Zipper and M.Szopa Spontaneous Persistent Currents in Mesoscopic Rings Acta Phys. Pol. 87 79-84 1995
  43. E.Zipper and M.Szopa Magnetic Interactions in Metals of Mesoscopic Size Molecular Phys. Rep. 11 158 1995
  44. M.Szopa Berry Phase - Geometrical and Topological Aspects in W.Florek, D.Lipi?ski and T.Lulek (eds), Symmetry and Structural Properties of Condensed Matter II World Scientific 307-315 1993
  45. K.A.Meissner, M.Szopa, E.Zipper Topological Origin of the Half Integral Flux Quantization in Superconductors in J.Aksamit i M.Matlak (eds), Strongly Correlated Electron Systems and Narrow Band Phenomena in Solids Wyd. Uniwersytetu ?laskiego, Katowice
  46. E.Zipper, M.Szopa On the Possibility of Spontaneous Currents in Mesoscopic Systems Acta Phys. Pol. 84 203-212 1993
  47. M.Szopa and A.Ceulemans Quantum Geometrical Phase for a Threefold Degenerate State in H.D. Doebner, F.Schroeck (eds), Classical and Quantum Systems - Foundations and Symmetries World Scientific 1992
  48. E.Zipper, M.Szopa and D.Wohlleben Flux Phase States in Mesoscopic Metallic and Molecular Rings in R. Kossowski, B.Raveau and S.Patapis (eds), Physics and Material Science in High Temperature Superconductors II Kluwer Acad. Publ 787-93 1992
  49. D.Wohlleben, P.Freche, M.Esser, E.Zipper and M.Szopa Spontaneous Currents in Mesoscopic Rings Mod. Phys. Lett B6 1481-99 1992
  50. T.Lulek, M.Szopa Racah-Wigner Description of Vibrational and Electronic States in Crystals in W.Florek, T.Lulek and M.Mucha (eds), Symmetry and Structural Properties of Condensed Matter World Scientific 265-277 1991
  51. M.Szopa, E.Zipper Persistent Currents Induced in Small Metalic Rings Solid State Comm. 77 739-743 1991
  52. M.Szopa, D.Wohlleben and E.Zipper Flux Phase States in Mesoscopic Metallic Rings E.Zipper, R.Ma?ka, and M.Ma?ka (eds), Strongly Correlated Electron Systems and High Tc Superconductivity World Scientific 163-167 1991
  53. M.Szopa, D Wohlleben and E.Zipper Flux Phase States in Mesoscopic Systems Physics Letters A 160 271-3 1991
  54. M.Szopa and E.Zipper Flux Trapping and Flux Quantization in Mesoscopic Systems Zipper, R.Ma?ka, and M.Ma?ka (eds), Strongly Correlated Electron Systems and High Tc Superconductivity World Scientific 155-162 1991
  55. D.Wohlleben, M.Esser, P.Freche, E.Zipper and M.Szopa Possibility of Orbital Magnetic Phase Transition in Mesoscopic Metalic Rings Phys. Rev. Lett. 66 3191-94 1991
  56. D.Wohlleben, M.Esser, E.Zipper and M.Szopa Spontane Strome in Mesoskopischen Ringen DPG Verhandlungen 8 1517 1991
  57. A.Ceulemans, M.Szopa The Berry Phase for a Threefold Degenerate State J. Phys. A 24 4495-4509 1991
  58. T.Lulek, M.Szopa The Racah-Wigner Approach to Harmonic Oscillations of the Cluster of Nodes of a Cube Journal of Physics A 23 677-694 1990
  59. T.Lulek, M.Szopa, E.Zipper Geometric Selection Rules for Valence Fluctuations Zeszyty Naukowe U. J. CMXXIV, Prace Fizyczne 29 49-59 1990
  60. M.Szopa, E.Zipper Persistent Currents in Mesoscopic Rings R. Kossowski (ed.), Physics and Material Sciences in High Temperature Superconductors NATO ASI Series E 181, Kluwer Acad. Publ. 139-150 1990
  61. T.Lulek, M.Szopa Channels of Hybridization, Harmonic Oscillations of the Cube - an Application of the Racah-Wigner Approach Acta Magnetica VI 15-27 1989
  62. M.Drzazga, M.Szopa, E.Zipper Cannonical Transformation for Mixed Valence Compounds Acta Magnetica, suppl.87 A46-47 1987
  63. M.Drzazga, A.Pawlikowski, M.Szopa, E.Zipper Group Theoretical Selection Rules for f-c Hybridization J. Magn. Magn. Mat. 63 & 64 227-230 1987
  64. P.Trzaskoma, J.Zielinski, M.Szopa On the Role of Phonons for the Pressure Induced Change of Valence phys. stat. sol. (b) 109 K129-132 1982