Prof. RNDr. Jana Musilova, CSc.

Scientific papers

Publications in Solid State Physics

  1. Delong A., Kolarik V., Stepankova J.: Low-energy electron diffraction on the planes non-parallel with the surface. Czech. J. Phys. B23 (1973), 918-922.
  2. Musilova J.: Low-energy electron diffraction and surface crystallography of polycrystals. Scripta Fac. Sci. Nat. Brunensis Physica 1, 5 (1975). 21-54.
  3. Musilova J.: Low-energy electron diffraction and surface crystallography of polycrystals. Cs. cas. fyz. A25 (1975), 267-272. (In Czech.)
  4. Musilova J.: Piezoreflectance Study of E1 and E2 Transitions in Ge. phys. stat. solidi (b) 101 (1980), 85-93.
  5. Schmidt E., Musilova J.: Determination of the Light Detector Linearity. Scripta Fac. Sci. Nat. UJEP Brunensis, Vol. 12 (1982), No. 2 (Physica), 95-102.
  6. Bocanek L., Musilova J.: Modulation Piezoreflectance of Cubic Polycrystals. phys. stat. solidi (a) 75 (1983), 555-558.
  7. Musilova J.: Interferometric measurement of piezoelectric coefficients of ceramics. In: Piezoelektric ceramics, Hradec Kralove 1985. (In Czech.)
  8. Ohlidal I., Navratil K., Musilova J.: A new method for the complete optical analysis of weakly absorbing thin films: Application to polycrystalline silicon films. Thin Solid Films 127 (1985), 191-203.
  9. Musilova J.: Method of the Exact Determination of Transition Energies from Modulated Piezoreflectance Spectra of Generally Oriented or Non-monocrystalline Cubic Crystals. phys. stat. solidi (a) 119 (1990), 669-676.
  10. Ohlidal I., Musilova J.: Scatter losses of non--absorbing multilayer systems with statistically rough boundaries I. Ve sborniku: SPIE Vol. 1319 Optics in Complex Systems (1990), 575.
  11. Musilova J., Ohlidal I.: Possibilites and limitations of the film thickness determination method based on the white light interference. J. Phys. D: Applied Phys. 23 (1990), 1227-1238. (Selected by Editorial Board for reprint in Engineering Optics.)
  12. Musilova J., Bocanek L.: A note to the interpretation of E1, E1+D1 transitions in germanium. Czech. J. Phys. B42 (1992), No 6, 591-600.
  13. Musilova J., Ohlidal I.: The influence of defects of thin films on determining their thickness by the method based on white light interference. J. Phys. D: Applied Phys. 25 (1992), No 7, 1931-1938. (Selected by Editorial Board for reprint in Engineering Optics.)

Selected publications in Physics Education

  1. Musilova J., Cernohorsky M.: Configuration energy in didactics of mechanics. In: Sixth Conference of Czechoslovak Physicists, Ostrava 1979. (Editor K. Kapoun.) JCSMF, Ostrava 1979, 18-05.
  2. Cernohorsky M., Musilova J., Fojtikova M., Horakova R.: In: Sixth Conference of Czechoslovak Physicists, Ostrava 1979. (Editor K. Kapoun.) JCSMF, Ostrava 1979, 18-02.
  3. Musilova J.: The Doppler effect -- is its physical explanation allways correct? Acta Polytechnica 33 (1993), 2, 45-57.
  4. Czudkova L., Musilova J.: Physics in the lift and on the turntable. Physics Education 35 (2000), 1, 22-28.
  5. Czudkova L., Musilova J.: Pendulum: a stumbling block of secondary school physics. Physics Education 35 (2000), 6, 428-435.
  6. Czudkova L., Musilova J.: Do we understand frictional forces? (In Czech.) In: 14-th Conference of Czech and Slovak Physicists, Plzen, September 2002. FVS JCMF and Univerity of Plzen, 2002.
  7. Bartos J., Musilova J.: Surprising demonstration experiments. (In Czech.) In: 14-th Conference of Czech and Slovak Physicists, Plzen, September 2002. FVS JCMF and Univerity of Plzen, 2002.
  8. Musilova Jana., Slavicek J.: Brachistochrona - problam stale zivy. Cs. cas. fyz. 53 (2003), 6, 400-412.
  9. Bartos J., Musilova J.: Small surprises in "rolling-physics" experiments. European Journal of Physics 5(2004), 675-687.
  10. Bartos J., Musilova J.: Damped mechanical oscillator. In: DIDFYZ 2004, Information and communication technologies in physics education. JSMF, PROTONIT, Nitra, 2005, 117-122. (In Czech.)
  11. Bartos J., Musilova J.: Damping forces - a friend or a foe in explaining mechanical motion? European Journal of Physics, 2006, 27, 383-392.
  12. Czudkova L., Musilova J.: Nastrahy newtonovske mechaniky. ("Traps" of Newtonian mechanics.) Cs. cas. fyz. 58(2008), 2, 103-106.
  13. Czudkova L., Musilova J., Strouhalova J.: Zakony zachovani v modernich variacnich teoriich. Odkaz Emmy Noetherove. (Conservation laws in modern variational theories.) Cs. cas. fyz. 61 (2011), 2, 85-91.
  14. Czudkova L., Musilova J., Necas T.: Parabolicky let aneb Internet a fyzikalni mysleni. (Parabolic flight: Internet and physical thinking.) Cs. cas. fyz. 61 (2011), 5, 256-259.
  15. Musilova J.: Hostinsky, Nelson a Schrodingerova rovnice. Cs. cas. fyz. 61 (2011), 6, 373-376.
  16. Musilova J., Lenc M.: Jak interpretovat odezvove funkce. Cs. cas. fyz. 62 (2012), 3, 147-150.
  17. Musilova J.: Fyzikalni omyly ve vyuce mechaniky. Cs. cas. fyz. 62 (2012), 5-6, 346-357.
  18. Janik J., Lenc M., Musilova P., Musilova J.: Meze matematickeho mysleni aneb z vyuky matematiky pro nematematicke obory. Cs. cas. fyz. 62 (2012), 5-6, 428-431.
  19. Musilova J., Musilova P.: Diferencialni operatory v mechanice kapalin. Cs. cas. fyz. 63 (2013), 4, 214-219.
  20. Musilova J.: Mrizkove parametry a chvala nomogramu. Cs. cas. fyz. 64 (2014), 2, 84-94.
  21. Rezkova K., Musilova J.: Elementarni model tuhnuti vosku (gymnazialni studentsky projekt). Cs. cas. fyz. 64 (2014), 3, 208-212.
  22. Musilova J.: Vitezstvi v soutezi EUCYS 2014 pro Ceskou republiku. Cs. cas. fyz. 64 (2014), 6, 376-380.
  23. Vozdecky L., Bartos J., Musilova J.: Rolling friction - models and experiment. An undergraduate student project. European Journal of Physics 35 (2014), 5, 1-16.
  24. Musilova J., Musilova P.: Variacni pocet - prirozeny aparat fyziky. Cs. cas. fyz. 65 (2015), 3, 141-146.
  25. Musilova J.: Nejde jen o kyvadlo. Cs. cas. fyz. 66 (2016), 6, 382-385.
  26. Bartos J., Musilova J., Vozdecky L.: Valeni - teorie a experiment, gymnazialni studentsky projekt. Cs. cas. fyz. 67 (2017), , 61-69.
  27. Musilova J., Lacina A.: Kam speje ceske fyzikalni vzdelavani? Cs. cas. fyz. 68(2018), 6, 367-377.
  28. Musilova J., Musilova P.: Co a k cemu je konformni zobrazeni. Cs. cas. fyz. 68(2018), 5, 297-302.
  29. Tyc T., Musiova J.: Netradicni pohled na sireni svetla. Cs. cas. fyz. 69(2019), 5, 323-328.
  30. Musilova J., Tyc T.: Linearita a relativita. Cs. cas. fyz. 70 (2020), 6, 426-43.
  31. Cernohorsky M., Musilova J.: Newtonovy pohybove zakony - retrospektiva a soucasnost. Cs. cas. fyz. 71 (2021), 2, 116-141.
  32. Musilova P., Musilova J.: Princip nezavislosti pohybu a skladani rychlosti ve vyuce fyziky. Cs. cas. fyz. 72 (2022), 6, 434-445.
  33. Musilova P., MusilovaJ.: Nabita castice v magnetickem poli elementarne. Cs. cas. fyz. 73 (2023), 2, 128-132.

Publications in Analysis, Geometry and Mathematical Physics

  1. Krupka D., Musilova J.: Integrals of motion in higher order mechanics and field theory. PMFA XXVIII (1983), 259-266. (In Czech.)
  2. Krupka D., Musilova J.: Calculus of odd base forms on differential manifolds. FOLIA Fac. Sci. Nat. Univ. Purk. Brunensis, Tomus XXIV, Physica 34 (1983), Opus 7, pp. 49.
  3. Krupka D., Musilova J.: Hamilton extremals in higher order mechanics. Arch. Math. UJEP Brunensis, Tomus 20 (1984) No. 1., 21-30.
  4. Musilova J.: Variational sequence in higher order mechanics. Proc. 6-th Internat. Conf. on Differential Geometry and Applications. (Editors J. Janyska, I. Kolar and J. Slovak). Brno 1996, 611-624.
  5. D. Krupka, J. Musilova: Trivial lagrangians in field theory. Diff. Geom. Appl. 9 (1998), 293-305.
  6. J. Musilova, J. Novotny, M. Mraz: Variationality and force fields in classical physics. Cs. cas. fyz. A48 (1998), 5, 320-328. (In Czech.)
  7. J. Musilova, D. Krupka, O. Krupkova: Variational sequence in physical theories. Cs. cas. fyz. A48 (1998), 5, 329-341.
  8. Mraz M., Musilova J.: Variational compatibility of force laws. In: VII-th Internat. Conference on Differential Geometry and its Applications. (Editors I. Kolar, O. Kowalski, D. Krupka, J. Slovak). Brno, August 1998. Masaryk University, Brno, 1999, 553-562.
  9. Musilova J., Krbek M.: A note to the representation of the variational sequence in mechanics. In: VII-th Internat. Conference on Differential Geometry and its Applications. (Editors I. Kolar, O. Kowalski, D. Krupka, J. Slovak). Brno, August 1998. Masaryk University, Brno, 1999, 511-524.
  10. Krupka D., Musilova J.: Variational sequence and trivial lagrangians. (In Czech.) In: 13-th Conference of Slovak and Czech Physicists. (Editors M. Reiffers, L. Just). Zvolen, August 1999, Slovac Physical Society and Technical University Zvolen, Zvolen, 2000, 328-331.
  11. Mraz M., Musilova J.: Non-parametrized Lagrange strucutres. (In Czech.) .) In: 13-th Conference of Slovak and Czech Physicists. (Editors M. Reiffers, L. Just). Zvolen, August 1999, Slovac Physical Society and Technical University Zvolen, Zvolen, 2000, 338-340.
  12. Krbek M., Musilova J., Kasparova J.: Representation of the variational sequence i field theory. In: Steps in Differential Geometry. (Editors L. Kozma, L. Tamassy). Proc Colloq. Diff. Geometry, July 2000, Debrecen, Hungary. University of Debrecen, 2001, 147-160.
  13. Krupka D., Musilova J.: Recent results in variational sequence theory. In: Steps in Differential Geometry. (Editors L. Kozma, L. Tamassy). Proc Colloq. Diff. Geometry, July 2000, Debrecen, Hungary. University of Debrecen, 2001, 161-186.
  14. Krupkova O., Musilova J.: The relativistic particle as a mechanical system with non-holonomic constraints. J. Phys. A: Math. Gen. 34 (2001), 3859-3875.
  15. Krbek M., Musilova J., Kasparova J.: The variational sequence: Local and global properties. In: Proc. Of the Seminar on Differential Geometry. Volume 2. Silesian University, Opava, 2000, 15-38.
  16. Krbek M., Musilova J.: Representation of the variational sequence by differential forms. Rep. Math. Phys. 51 (2003), 2/3, 251-258.
  17. Musilova P., Musilova J.: Differential invariants of immersions of manifolds with metric fields. Commun. Math. Phys. 249 (2004), 2, 319-329.
  18. Musilova P., Musilova J.: Natural operators of smooth mappings of manifolds with metric fields. Rep. Math. Phys. (2004),273-283.
  19. Czudkova L., Musilova J.: Variational non-holonomic systems in physics. In: International Workshop on Global Analysis, Cancaya University Ankara, Turkey (2004), 131-140.
  20. Krupkova O., Musilova J.: Non-holonomic variational systems. Rep. Math. Phys. 55 (2005), 2, 211-220.
  21. Krbek M., Musilova J.: Representation of the variational sequence by forms. Acta Applicandae Mathematicae 88 (2005), 177-199.
  22. Czudkova L., Janova J., Musilova J.: Non-holonomic mechanical systems and variational principle. In: Differential Geometry and its Applications. Proc. Conf. Prague, Czech Republic. Charles University, 2005, 571-579.
  23. Czudkova L., Janova J., Musilova J.: Trivial constraint variational problem. Suppl. Rend. Circ. Mat. Palermo, Serie II, 79 (2006), 63-70.
  24. Musilova P., Musilova J.: Connection induced geometrical concepts. Suppl. di Rend. Circ. Mat. Palermo, Serie II, 79 (2006), 153-160.
  25. Musilova J., Lenc M.: Lepage forms in variational theories: From Lepage's idea to the variational sequence. In: Variations, Geometry and Physics. Nova Science Publishers, Inc., 2007, 3-31.
  26. Czudkova L., Musilova J.: Non-holonomic constraint forces in field theory in physics. In: Differential Geometry and its Applications. Proc. Conf. Olomouc, Czech Republic. World Scientific, 2008, 603-613.
  27. Janova J., Musilova J.: Non-holonomic mechanics: A geometrical treatment of general coupled rolling motion. Int. J. Non-Linear Mech. 44 (2009), 1, 98-105.
  28. Krupkova O., Musilova J.: The relativistic mechanics in a non-holonomic setting: A unified approach to particles with non-zero mass and massless particles. arXiv:09042933v1 [math-ph] 19 Apr 2009.
  29. Lenc M., Musilova J., Czudkova L.: Lepage forms theory applied. In: The 29th Winter School Geometry and Physics. Proc. Conf., January 2009, Srni, Czech Republic. Accepted for publication.
  30. Janova J., Musilova J., Bartos J.: Coupled rolling motion: a student project in non-holonomic mechanics. European Journal of Physics 30 (2009). 1257-1269.
  31. Janova J., Musilova J.: The streetboard rider: an appealing problem in nonholonomic mechanics. European Journal of Physics 31 (2010). 333-345.
  32. Janova J., Musilova J.: Coupled roling motion: considering rolling friction in non-holonomic mechanics. European Journal of Physics 32 (2011). 245-257.
  33. Rossi O., Musilova J.: The relativistic mechanics in a nonholonomic setting: a unified approach to particles with non-zero mass and massless particles. J. Phys. A: Math. Theor. 45 (2012), 255202.
  34. Rossi O., Musilova J.: On the inverse variational problem in nonholonomic mechanics. J. Communications in Mathematics 20 (2012), 1, 41-62.
  35. Czudkova L., Musilova J.: Nonholonomic mechanics: A practical application of the geometrical theory on fibred manifolds to a planimeter motion. Int. J. Non-Linear Mech. 50 (2013), 19-24.
  36. Cech M., Musilova J.: Dynamics of nonholonomic systems. Symmetries and currents in nonholonomic mechanics. Communications in Mathematics, Ostrava, CR, Ostravska univerzita v Ostrave. ISSN 1804-1388, 2014, vol. 22/2014, no. 2, s. 159-184.
  37. Cech M., Musilova J.: Symmetries and conservation laws for the Chaplygin sleigh. BSGP, Geometry Balkan Press, Bukurest 2015, vol. 22/2014, no. 1, s. 7-17.
  38. Palese M., Rossi O., Winterroth E., Musilova J: Variational Sequences, Representation Sequences and Applications in Physics. SIGMA. 2016, 12, 45pp. doi:10.3842/SIGMA.2016.045.
  39. MusilovaJ., Hronek S.: The calculus of variations on jet bundles as a universal approach for a variational formulation of fundamental physical theories. Communications in mathematics 24(2016), 2, 173-193. doi:10.1515/cm-2016-0012.
  40. Cech M., MusilovaJ.: Motion in central gravitational field with Schwarzschild metric as a non-holonomic system with non-linear constraint: Geometrical setting. International Journal of Non-Linear Mechanics 114(2019), 21-26. doi:10.1016/j.ijnonlinmec.2019.03.009.

Unpublished papers in Analysis, Geometry and Mathematical Physics

  1. Musilova J.: Regular Lagrangean structures. (Educational text.) Summer School on Diferential Geometry, Poprad 1984.
  2. D. Krupka, J. Musilova: Trivial lagrangians in field theory. Preprint Series on Global analysis GA 3/1996, Silesian University, Opava 1996, pp. 34.
  3. M. Mraz, J. Musilova: Variational compatibility of force laws. Preprint Series on Global Analysis GA 4/1998, Silesian University, Opava 1998, pp. 9.
  4. M. Mraz, J. Musilova: Translationally invariant Lagrange structures. Preprint Series on Global Analysis GA 6/1998, Silesian University, Opava 1998, pp. 11.
  5. J. Musilova, M. Krbek: A note to the representation of the variational sequence in mechanics. Preprint Series on Global Analysis GA 5/1998, Silesian University, Opava 1998, pp. 14.
  6. Krbek M., Musilova J., Kasparova J.: Representation of the variational sequence i field theory. Preprint Series on Global Analysis GA 13/2000, Silesian University, Opava, 2000.
  7. Krupka D., Musilova J.: Recent results in variational sequence theory. Preprint Series on Global Analysis GA 15/2000, Silesian University, Opava, 2000.
  8. Krupkova O., Musilova J.: The relativistic particle as a mechanical systém with non-holonomic constraints. Preprint Series on Global Analysis GA 7/2000, Silesian University, Opava, 2000.
  9. Krupkova O., Musilova J.: Constraint Helmholtz conditions. Masaryk Univ. Brno, 2002, pp. 10.
  10. Czudkova L., Musilova J.: Constraint forces in nonholonomic mechanical systems. Poster. International workshop Geometry and Physics, Tenerife, Spain, 2006.
  11. Krupkova O., Musilova J.: Non-relativistic mechanics: A unified approach to particles with non-zero mass and massless particles. Poster. International workshop Geometry and Physics, Tenerife, Spain, 2006.
  12. Janova J., Musilova J.: Geometrical study of non-holonomic systems applied: Two rolling cylinders. Poster. Workshop of Mathematical Physicists, Barcelona, Spain, 2006.
  13. Czudkova L., Musilova J.: Nonholonomic constraint forces in field theory (geometrical theory applied). Poster. International conference Differential Geometry and its Applications, Olomouc, Czech Republic, 2007.
  14. Czudkova L., Musilova J.: Non-holonomic mechanics: A practical application of the geometrical theory on fibered manifolds to a planimeter motion. Poster. 32-th Winter School on Geometry nad Physics, Srni, Czech Republic, 2012.
  15. Krupkova O., Musilova J.: The relativistic mechanics in a nonholonomic setting: A unified approach to particles with non-zero mass and massless particles. Poster. 32-th Winter School on Geometry nad Physics, Srni, Czech Republic, 2012.
  16. Rossi O., Musilova J.: Nonholonomic variational systems. Oral presentation. 6th International Congress on Mathematics, 2.7.-7.7.2012, Krakow, Polsko, 2012.
  17. Rossi O., Musilova J.: The inverse variational problem in nonholonomic mechanics. Poster. 33-th Winter School on Geometry nad Physics, Srni, Czech Republic, 2013.
  18. Cech M., Musilova J.: Dynamics of nonholonomic systems. Presentation. The VIIIth International Conference Differential Geometry and Dynamical Systems DGDS-2014, Mangalia, Romania, 2014.