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University of Hradec Králové, Faculty of Education, Department of Physics address: Rokitanského 62, 500 03 Hradec Králové phone +420-49-3331-535
personal web page: mujweb.cz/veda/jankriz |
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University of Hradec Králové, Faculty of Education, Department of Physics address: Rokitanského 62, 500 03 Hradec Králové phone +420-49-3331-535
personal web page: mujweb.cz/veda/jankriz |
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Education and Qualifications
Projects
- 1998 - M.Sc. degree in theoretical physics; Charles University in Prague, Faculty of Mathematics and Physics
- 2003 - Ph.D. degree in theoretical physics, astronomy and astrophysics; Charles University in Prague,
Faculty of Mathematics and Physics- 2004 - RNDr. degree in theoretical physics, astronomy and astrophysics; Charles University in Prague,
Faculty of Mathematics and Physics
- 2002 - 2003 Nuclear Physics Institute of the Academy of Sciences of the Czech Republic,
Department of theoretical physics (research assistant)- 2003 - present University of Hradec Králové, Faculty of Eudcation, Department of physics and informatics
(assistant professor)
- Mathematical methods of quantum physics
- Quantum waveguides
- Spectral properties of differential operators
- Operator domains of self-adjoint operators
- Time series analysis: medical applications
- Mathematical physics
- Mechanics
- Thermodynamics and molecular physics
- Easy introduction to quantum informatics
Publications and citations
- Research papers
[1] J. Dittrich and J. Kříž, Bound states in straight quantum waveguides with combined boundary
conditions, J. Math. Phys. 43 (2002), 3892-3915, available on preprint arXiv.
[2] J. Dittrich and J. Kříž, Curved planar quantum wires with Dirichlet and Neumann boundary
conditions, J. Phys. A: Math. Gen. 35 (2002), L269-L275, available on preprint arXiv.
[3] J. Dittrich and J. Kříž, Bound states in straight quantum waveguides with combined boundary
condition (in Czech), Proc. 14th Conf. Czech and Slovak Physicists, Vol. II. Eds. P. Baroch,
M. Kubásek, Š. Potocký, University of West Bohemia, Pilsen, 2002, p. 601 - 605.
[4] J. Dittrich and J. Kříž, Straight quantum waveguides with combined boundary conditions,
Mathematical Results in Quantum Mechanics QMATH-8 (Taxco, Mexico, 2001) . Eds. R. Weder,
P. Exner, B. Grébert. Contemporary Mathematics Vol. 307, American Mathematical Society,
Providence, 2002, p. 107-112.
[5] D. Krejčiřík and J. Kříž, On the spectrum of curved quantum waveguides, Publ. Res. Inst. Math.Sci.
41 (2005), p. 757-791, available on preprint arXiv.
[6] J. Kříž, K. Martiník, P. Šeba and V. Tošnerová, Force plate measurement of human hemodynamics,
Polish Journal of Human Nutrition and Metabolism 32 (2005), Suppl. Nr. 1, 679-687.
- Preprints
[7] J. Kříž and P. Šeba, Force plate monitoring of human hemodynamics, available on preprint arXiv.
- Citations (not including autocitations)
[1] [i] D. Borisov, P. Exner and R. Gadyl'shin, Geometric coupling thresholds in a two-dimensional
strip, J. Math. Phys. 43 (2002), 6265-6278.
[ii] O. Olendski and L. Mikhailovska, Localized-mode evolution in a curved planar waveguide
with combined Dirichlet and Neumann boundary conditions, Phys. Rev. E 67 (2003),
Art. No. 056625.
[iii] I. Y. Popov and E. S. Tesovskaya, Electron in a multilayered magnetic structure: Resonance
asymptotics, Theor. Math. Phys. 146 (2006), 361-372.
[iv] D. Borisov, Discrete spectrum of an asymmetric pair of waveguides coupled through a window,
Sb. Math. 197 (2006), 475-504.
[v] K. Pankrashkin, Resolvents of self-adjoint extensions with mixed boundary conditions,
Rep. Math. Phys. 58 (2006), 207-221.
[vi] P. Exner and D. Borisov, Distant perturbation asymptotics in window-coupled waveguides.
I. The nonthreshold case, J. Math. Phys. 47 (2006), Art. No. 113502.
[vii] O.Olendski and L. Mikhailovska, A straight quantum wave guide with mixed Dirichlet and
Neumann boundary conditions in uniform magnetic fields, J. Phys. A 40 (2007), 4609-4633.
[2] [viii] D. Krejčiřík, Quantum strips on surfaces, J. Geom. Phys. 45 (2003), 203-217.
[ix] O. Olendski and L. Mikhailovska, Fano resonances of a curved waveguide with an embedded
quantum dot, Phys. Rev. B 67 (2003), Art. No. 035310.
[x] O. Olendski and L. Mikhailovska, Localized-mode evolution in a curved planar waveguide
with combined Dirichlet and Neumann boundary conditions, Phys. Rev. E 67 (2003),
Art. No. 056625.
[xi] O. Olendski and L. Mikhailovska, Curved quantum waveguides in uniform magnetic fields,
Phys. Rev. B 72 (2005), Art. No. 235314.
[xii] E. R. Johnson, M. Levitin and L. Parnovski, Existence of eigenvalues of a linear operator
pencil in a curved waveguide - localized shelf waves on a curved coast, Siam J. Math. Anal.
37 (2006), 1465-1481.
[xiii] D. Krejčiřík, Hardy inequalities in strips on ruled surfaces, J. Ineq. Appl. (2006), Art. No. 46409.
[xiv] O.Olendski and L. Mikhailovska, A straight quantum wave guide with mixed Dirichlet and
Neumann boundary conditions in uniform magnetic fields, J. Phys. A 40 (2007), 4609-4633.
[xv] P. Freitas and D. Krejčiřík, Waveguides with combined Dirichlet and Robin boundary conditions,
Math. Phys. Anal. Geom. 9 (2006), 335-352.
[5] [xvi] O. Olendski and L. Mikhailovska, Curved quantum waveguides in uniform magnetic fields,
Phys. Rev. B 72 (2005), Art. No. 235314.
[xvii] E. R. Johnson, M. Levitin and L. Parnovski, Existence of eigenvalues of a linear operator
pencil in a curved waveguide - localized shelf waves on a curved coast, Siam J. Math. Anal.
37 (2006), 1465-1481.
[xviii] S. Kondej and I. Veselic, Spectral gap of segments of periodic waveguides,
Lett. Math. Phys. 79 (2007), 95-98.
[xix] C. Lin and Z. Q. Lu, Existence of bound states for layers built over hypersurfaces in Rn+1,
J. Func. Anal. 244 (2007), 1-25.
[xx] O.Olendski and L. Mikhailovska, A straight quantum wave guide with mixed Dirichlet and
Neumann boundary conditions in uniform magnetic fields, J. Phys. A 40 (2007), 4609-4633.
[xxi] A. B. Mikhailova, B. S. Pavlov and L. V. Prokhorov, Intermediate Hamiltonian via Glazman's
splitting and analytic perturbation for meromorphic matrix-functions, Mathematische
Nachrichten 280 (2007): 1376-1416.
- SCF: Tosa Yamada Sci-Tech Flash, Kochi University of Technology, Tosa Yamada, Japan, May 2007:
Detecting targets in human body: What is the common property of radar systems and medical devices?- M3Q07: Mathematical Methods in Quantum Mechanics, Bressanone, Italy, February 2007,
Analysis of medical time series using methods of mathematical physics.- QC'07: Ouantum Circle of the Doppler Institute, Prague, January 2007 : Maximum likelihood estimation for
multiepoch EEG analysis.- WQC06: Spectra, Algorithms and Data Analysis II (Quantum Circle Workshop), Hradec Králové, December 2006:
Detecting targets in human body: from military radar systems to human EEG.- SimonFest: Spectral Theory and Mathematical Physics, Pasadena, Los Anglese, USA, March 2006:
Poster: Analysis of Time Series Measured by Medical Diagnostic Devices Using Methods of Mathematical Physics- WQC06: Spectra, Algorithms and Data Analysis (Quantum Circle Workshop), Hradec Králové, February 2006:
Mechanical manifestation of human cardiovascular dynamics.- 15th conference of Czech and Slovak physicists, Košice, Slovakia, September 2005:
Mechanical manifestation of human hemodynamics- M3Q05: Mathematical Methods in Quantum Mechanics, Bressanone, Italy, February 2005,
Convergence of spectra of quantum waveguides with combined boundary conditions- QMath9: Mathematical Results in Quantum Mechanics, Giens, France, September 2004:
Spectral properties of qunatum waveguides with combined boundary conditions- Seminar at Kochi University of Technology, Tosa Yamada, Kochi, Japan, February 2004:
Statistical analysis of cardiac activity and processes maintaing human stability using force plate- Seminar of Department of Mathematics, Graduate School and Faculty of Science, Tokyo Metropolitan University,
Minami-Osawa, Hachioji-shi Tokyo, Japan, January 2004:
Spectral properties of qunatum waveguides with combined boundary conditions- QC'03: Ouantum Circle of the Doppler Institute, Prague, December 2003 :
Statistical analysis of hemodynamcs and processes maintaining human stability using force plate- ICMP'03: XIV International Congress on Mathematical Physics, Lisbon, Portugal, August 2003 :
Poster ,,Quantum Waveguides with Combined Boundary Conditions''- MPQP'03: Mathematical Problems in Quantum Mechanics, Lisbon, Portugal, July 2003 :
Curved quantum waveguides with combined boundary conditions- Seminar of the Department of theoretical physics NPI, Řež, February 2003 :
Spectral properties of planar quantum waveguides with combined boundary conditions- 14th conference of Czech and Slovak physicists, Plzeň, September 2002 : Bound states in straight quantum
waveguides with combined boundary conditions- GQP'02: workshop Guided Quantum Particles, Prague, June 2002 : Curvature-induced bound states in
waveguides with combined boundary conditions- QC'02: Ouantum Circle of the Doppler Institute, Prague, May 2002 :
Curved planar quantum wires with Dirichlet and Neumann boundary conditions- Seminar at the Centre de Physique Théorique C.N.R.S., Marseille, France, November 2001 :
Bound states in straight quantum waveguides- 5th meeting of mathematical physicists, Prague, June 2001 :
Straight quantum waveguide with combined boundary conditions- Winter School Geometry and Physics 2001, Srní, January 2001 : Self-adjointness of Neumann Laplacian
in an unbounded domain- QC'01: Ouantum Circle of the Doppler Institute, Prague, January and February 2001,
Neumannova Laplacian in unbounded regions- Winter School in Horní Polubný, January 2000 : see WDS'99
- WDS'99: Week of Doctoral Students, Prague, June 1999 : L-shaped quantum waveguides
- Winter School in Horní Polubný, January 1999 : Purely elastic Caroli-Nozieres model of dry friction
- September 1999 - Graduate School in Particle Physics, Raach, Austria
- August 2000 - Centre de Physique Théorique, C.N.R.S., Marseille-Luminy, France
- September 2001 - Centre de Physique Théorique, C.N.R.S., Marseille-Luminy, France
- January 2004 - Department of Mathematics, Graduate School and Faculty of Science, Tokyo Metropolitan University,
Minami-Osawa, Hachioji-shi Tokyo, Japan- February 2004 - Kochi University of Technology, Tosa Yamada, Kochi, Japan
- May-June 2007 - Kochi University of Technology, Tosa Yamada, Kochi, Japan
Completed projects
- 2004 Internal grant project of the Faculty of Education "Spectral properties of quantum waveguides"
- 2005 Internal grant project of the Faculty of Education "Asymptotic properties of spectra of quantum
waveguides"Actual projects
- 2006 - 2008 Postdoctoral grant project supported by Czech Science Foundation "Analysis of time series
measured by medical diagnostic devices"- 2007 - 2011 member of the Center of basic research "Doppler Institute for mathematical physics and
applied mathematics" supported by Ministry of Education, Youth and Sports of the Czech Republic
under the code number LC06002.
- member of the Czech Physical Society, a section of the Union of Czech Mathematicians and Physicists:
Executive Committee Member (since 2006)- reviewer of Mathematical Reviews
- Mentor Physics of the Czech team at European Union Science Olympiad
- Physics Olympiad, Executive Committee Secretary (since 2005)
