Hi. This webpage is devoted to my academic activities. I am a physicist, a PhD. student at Faculty of Nuclear Sciences at CTU in Prague, and associate at Nuclear physics instutute at CAS in Rez. You can always contact me at ruzicka@ujf.cas.cz.

My scientific interests:

  • foundations of quantum theory
  • PT symmetry in quantum mechanics
  • spectral theory of non-selfadjoint operators

My papers:

  1. (2021) F. Ruzicka, K.S. Agarwal and Y.N. Joglekar
    Conserved quantities, exceptional points, and antilinear symmetries in non-Hermitian systems
    J. Phys. Conf. Ser. (accepted); arXiv: 2104.11265

  2. (2020) Z. Bian, L. Xiao, K. Wang, F.A. Onanga, F. Ruzicka, W. Yi, Y.N. Joglekar and P. Xue
    Quantum information dynamics in a high-dimensional parity-time-symmetric system
    Phys. Rev. A 102 (030201); arXiv: 2102.06721

  3. (2020) Z. Bian, L. Xiao, K. Wang, X. Zhan, F.A. Onanga, F. Ruzicka, W. Yi, Y.N. Joglekar and P. Xue
    Conserved quantities in parity-time symmetric systems
    Phys. Rev. Research 2 (022039); arXiv: 1903.09806

  4. (2019) M. Znojil and F. Ruzicka
    Nonlinearity of perturbations in PT-symmetric quantum mechanics
    J. Phys. Conf. Ser. (012120); open access: here

  5. (2019) M. Znojil and F. Ruzicka
    Multi-well log-anharmonic oscillators
    Mod. Phys. Lett. A 34 (1950085); arXiv: 1901.02238

  6. (2017) M. Znojil, I. Semoradova, F. Ruzicka, H. Moulla and I. Leghrib
    Problem of the coexistence of several non-Hermitian observables in PT-symmetric quantum mechanics
    Phys. Rev. A 95 (042122); arXiv: 1610.09396

  7. (2017) M. Znojil, F. Ruzicka and K. Zloshchastiev
    Schrodinger equations with logarithmic self-interactions: From antilinear PT -symmetry to the nonlinear coupling of channels
    Symmetry 9 (165); open access: here

  8. (2016) F. Ruzicka
    Quasi-hermitian lattices with imaginary zero-range interactions
    Springer Proc. Phys. 184 (371-381); arXiv: 1510.06615

  9. (2015) B. Bagchi, S. Modak, P. Panigrahi, F. Ruzicka and M. Znojil
    Exploring branched Hamiltonians for a class of nonlinear systems
    Mod. Phys. Lett. A. 30 (1550213); arXiv: 1505.07552

  10. (2015) F. Ruzicka
    Hilbert space inner product for PT-symmetric Su-Schrieffer-Heeger models
    Int. J. Theor. Phys. 54 (4154-4163); arXiv: 1501.04601

  11. (2015) D. Borisov, F. Ruzicka and M. Znojil
    Multiply degenerate exceptional points and quantum phase transitions
    Int. J. Theor. Phys. 54 (4293-4305); arXiv: 1412.6634

  12. (2014) G. Levai, F. Ruzicka and M. Znojil
    Three solvable matrix models of a quantum catastrophe
    Int. J. Theor. Phys. 53 (2875 - 2890); arXiv: 1403.0723

My theses:

  • Non-selfadjoint operators in quantum physics: selected aspects
    (2016); diploma thesis at FNSPE CTU; supervised by M. Znojil; online
  • The concept of hidden hermicity and quantum graphs
    (2014); bachelor thesis at FNSPE CTU; supervised by M. Znojil; online

My conference talks:

  • Pseudospectra in quantum mechanics
    (2015); on PHHQP 2013 in Jerusalem
  • Multiply degenerate exceptional points and quantum phase transitions
    (2014); on IQSA 2014 in Olomouc