LIST OF PUBLICATIONS

Pavel Stovicek

  1. P. Stovicek: Coulomb Green’s function and an addition formula for the Whittaker functions,
    J. Math. Phys. 65 (2024) 023503, https://doi.org/10.1063/5.0184924.
  2. P. Stovicek: A family of orthogonal polynomials corresponding to Jacobi matrices with a trace class inverse,
    J. Approx. Theory 279 (2022) 105769, https://doi.org/10.1016/j.jat.2022.105769.
  3. F. Stampach, P. Stovicek: New explicitly diagonalizable Hankel matrices related to the Stieltjes-Carlitz polynomials,
    Integr. Equ. Oper. Theory 93 (2021) 29, https://doi.org/10.1007/s00020-021-02638-4.
  4. F. Stampach, P. Stovicek: On Hankel matrices commuting with Jacobi matrices from the Askey scheme,
    Linear Alg. Appl. 591 (2020) 235-267, https://doi.org/10.1016/j.laa.2020.01.016.
  5. P. Stovicek: On infinite Jacobi matrices with a trace class resolvent,
    J. Approx. Theory 249 (2020) 105306, https://doi.org/10.1016/j.jat.2019.105306.
  6. F. Stampach, P. Stovicek: Spectral representation of some weighted Hankel matrices and orthogonal polynomials from the Askey scheme,
    J. Math. Anal. Appl. 472 (2019) 483-509, http://dx.doi.org/10.1016/j.jmaa.2018.11.036.
  7. P. Stovicek: The heat kernel for two Aharonov-Bohm solenoids in a uniform magnetic field,
    Ann. Phys. 376 (2017) 254-282, http://dx.doi.org/10.1016/j.aop.2016.11.007.
  8. F. Stampach, P. Stovicek: Factorization of the characteristic function of a Jacobi matrix,
    Oper. Matrices 11 (2017) 147-169, http://dx.doi.org/10.7153/oam-11-11.
  9. P. Kostakova, P. Stovicek: The Aharonov-Bohm Hamiltonian with two vortices revisited,
    Acta Polytechnica 56 (2016) 224-235, http://dx.doi.org/10.14311/AP.2016.56.0224.
  10. T. Kalvoda, P. Stovicek: A family of explicitly diagonalizable weighted Hankel matrices generalizing the Hilbert matrix,
    Linear Multilinear Alg. 64 (2016) 870-884, http://dx.doi.org/10.1080/03081087.2015.1064348.
  11. F. Stampach, P. Stovicek: The Nevanlinna parametrization for q-Lommel polynomials in the indeterminate case,
    J. Approx. Theory 201 (2016) 48-72, http://dx.doi.org/10.1016/j.jat.2015.09.002.
  12. F. Stampach, P. Stovicek: Special functions and spectrum of Jacobi matrices,
    Linear Alg. Appl. 464 (2015) 38-61, http://dx.doi.org/10.1016/j.laa.2013.06.024.
  13. F. Stampach, P. Stovicek: The Hahn-Exton q-Bessel function as the characteristic function of a Jacobi matrix,
    Spec. Matrices 2 (2014) 131-147, http://dx.doi.org/10.2478/spma-2014-0014.
  14. F. Stampach, P. Stovicek: Orthogonal polynomials associated with Coulomb wave functions,
    J. Math. Anal. Appl. 419 (2014) 231-254, http://dx.doi.org/10.1016/j.jmaa.2014.04.049.
  15. F. Stampach, P. Stovicek: The characteristic function for Jacobi matrices with applications,
    Linear Alg. Appl. 438 (2013) 4130-4155, http://dx.doi.org/10.1016/j.laa.2013.01.021.
  16. T. Kalvoda, P. Stovicek: A charged particle in a homogeneous magnetic field accelerated by a time-periodic Aharonov-Bohm flux,
    Ann. Phys. 326 (2011) 2702-2716, http://dx.doi.org/10.1016/j.aop.2011.06.007.
  17. J. Asch, T. Kalvoda, P. Stovicek: Resonant cyclotron acceleration of particles by a time periodic singular flux tube,
    SIAM J. Appl. Math. 71 (2011) 829-853.
  18. F. Stampach, P. Stovicek: On the eigenvalue problem for a particular class of finite Jacobi matrices,
    Linear Alg. Appl. 434 (2011) 1336-1353.
  19. P. Kostakova, P. Stovicek: Noncommutative Bloch analysis of Bochner Laplacians with nonvanishing gauge fields,
    J. Geom. Phys. 61 (2011) 727-744.
  20. P. Duclos, P. Stovicek, M. Tusek: On the two-dimensional Coulomb-like potential with a central point interaction,
    J. Phys. A: Math. Theor. 43 (2010) art. no. 474020.
  21. P. Stovicek, M. Tusek: On the spectrum of a quantum dot with impurity in the Lobachevsky plane,
    in ``Recent Advances in Operator Theory in Hilbert and Krein Spaces'', eds. J. Behrndt, K.-H. Förster, C. Trunk, Operator Theory: Advances and Applications, Vol. 198, (Birkhäuser Verlag, Basel, 2010) 291-304.
  22. V. Geyler, P. Stovicek, M. Tusek: A quantum dot with impurity in the Lobachevsky plane,
    in ``Spectral Theory in Inner Product Spaces and Applications'', eds. J. Behrndt, K.-H. Förster, H. Langer, C. Trunk, Operator Theory: Advances and Applications, Vol. 188, (Birkhäuser Verlag, Basel, 2009) 135-148.
  23. P. Duclos, E. Soccorsi, P. Stovicek, M. Vittot: On the stability of periodically time-dependent quantum systems,
    Rev. Math. Phys. 20 (2008) 725-764.
  24. P. Kocabova, P. Stovicek: Generalized Bloch analysis and propagators on Riemannian manifolds with a discrete symmetry,
    J. Math. Phys. 49 (2008) art. no. 033518.
  25. P. Duclos, O. Lev, P. Stovicek: On the energy growth of some periodically driven quantum systems with shrinking gaps in the spectrum,
    J. Stat. Phys. 130 (2008) 169-193.
  26. P. Stovicek, M. Tusek: On the harmonic oscillator on the Lobachevsky plane,
    Russian J. Math. Phys. 14 (2007) 493-497.
  27. O. Lev, P. Stovicek: On a semiclassical formula for non-diagonal matrix elements,
    Int. J. Theor. Phys. 46 (2007) 2688-2707.
  28. J. Asch, P. Stovicek: On the dynamics created by a time-dependent Aharonov-Bohm flux,
    Rep. Math. Phys. 59 (2007) 299-303.
  29. J. Asch, P. Stovicek: Dynamics of a classical Hall system driven by a time-dependent Aharonov-Bohm flux,
    J. Math. Phys. 48 (2007) art. no. 052901.
  30. V.A. Geyler, P. Stovicek: Zero modes in a system of Aharonov-Bohm solenoids on the Lobachevsky plane,
    J. Phys. A: Math. Gen. 39 (2006) 1375-1384.
  31. P. Duclos, E. Soccorsi, P. Stovicek, M. Vittot: Dynamical localization in periodically driven quantum systems,
    in "Advances in Operator Algebras and Mathematical Physics", eds. F.-P. Boca et al, (The Theta Foundation, Bucharest, 2005) 57-66.
  32. J. Asch, I. Hradecky, P. Stovicek: Propagators weakly associated to a family of Hamiltonians and the adiabatic theorem for the Landau Hamiltonian with a time-dependent Aharonov-Bohm flux,
    J. Math. Phys. 46 (2005) art. no. 053303.
  33. J. Asch, R.D. Benguria, P. Stovicek: Asymptotic properties of the differential equation   h3(h'' + h') = 1,
    Asymptotic Anal. 41 (2005) 23-40.
  34. V.A. Geyler, P. Stovicek: Zero modes in a system of Aharonov-Bohm fluxes,
    Rev. Math. Phys. 16 (2004) 851-907.
  35. V.A. Geyler, P. Stovicek: On the Pauli operator for the Aharonov-Bohm effect with two solenoids,
    J. Math. Phys. 45 (2004) 51-75.
  36. P. Duclos, O. Lev, P. Stovicek, M. Vittot: Progressive diagonalization and applications,
    in "Operator Algebras and Mathematical Physics", eds. J.-M. Combes et al, (The Theta Foundation, Bucharest, 2003) 75-88.
  37. P. Duclos, O. Lev, P. Stovicek, M. Vittot: Weakly regular Floquet Hamiltonians with pure point spectrum,
    Rev. Math. Phys. 14 (2002) 531-568.
  38. P. Stovicek: Construction of raising and lowering operators for Uq(sl(2,R)),
    in "Quantum Theory and Symmetries", eds. E. Kapuscik, A. Horzela, (World Scientific, Singapore, 2002) 601-606.
  39. P. Exner, P. Stovicek, P. Vytras: Generalised boundary conditions for the Aharonov-Bohm effect combined with a homogeneous magnetic field,
    J. Math. Phys. 43 (2002) 2151-2168.
  40. H.D. Doebner, P. Stovicek, J. Tolar: Quantization of kinematics on configuration manifolds,
    Rev. Math. Phys. 13 (2001) 799-845.
  41. P. Stovicek: Some remarks on Uq(sl(2,R)) at root of unity,
    Czech. J. Phys. 50 (2000) 1353-1358.
  42. P. Stovicek: Discrete series of representations for Uq(sl(2,R)),
    in "Quantum Theory and Symmetries", eds. H.-D. Doebner, V. K. Dobrev, J.-D. Hennig, W. Lücke, (World Scientific, Singapore, 2000) 470-474.
  43. P. Stovicek: Quantum Grassmannian. Quantum Homogeneous Space. Quantum Sphere.,
    in "Encyclopaedia of Mathematics Supplement II", ed. M. Hazewinkel, (Kluwer Academic Publishers, 2000) 394-396.
  44. P. Stovicek: Several remarks on ``Comments'' by A. Moroz,
    Europhys. Lett. 47 (1999) 275-276.
  45. P. Stovicek: A construction of representations and quantum homogeneous spaces,
    Lett. Math. Phys. 47 (1999) 125-138.
  46. P. Duclos, P. Stovicek, O. Vana: About a resolvent formula,
    in ``Mathematical Results in Quantum Mechanics'', eds. J. Dittrich, P. Exner, M. Tater, Operator Theory, Advances and Applications Vol. 108, (Birkhäuser Verlag, Basel, 1999) 221-226.
  47. P. Duclos, P. Stovicek, M. Vittot: Perturbation of an eigen-value from a dense point spectrum: a general Floquet Hamiltonian,
    Ann. Inst. H. Poincaré 71 (1999) 241-301.
  48. P. Stovicek, O. Vana: Differential cross section for Aharonov-Bohm effect with non-standard boundary conditions,
    Europhys. Lett. 44 (1998) 403-408.
  49. P. Stovicek: A construction of representations for quantum groups: an example of Uq(so(5)),
    Czech. J. Phys. 48 (1998) 1501-1506.
  50. L. Dabrowski, P. Stovicek: Aharonov-Bohm effect with delta-type interaction,
    J. Math. Phys. 39 (1998) 47-62.
  51. P. Duclos, P. Stovicek, M. Vittot: Perturbation of an eigen-value from a dense point spectrum:an example,
    J. Phys. A: Math. Gen. 30 (1997) 7167-7185.
  52. P. Stovicek, R. Twarock: Representations of Uh(SU(N)) derived from quantum flag manifolds,
    J. Math. Phys. 38 (1997) 1161-1182.
  53. B. Jurco, P. Stovicek: Coherent states for quantum compact groups,
    Commun. Math. Phys. 182 (1996) 221-251.
  54. Ch. Jagger, P. Stovicek, A. Thomason: Multiplicities of subgraphs,
    Combinatorica 16 (1996) 123-141.
  55. P. Stovicek: Antiholomorphic representations for orthogonal and symplectic quantum groups,
    J. Algebra 184 (1996) 71-101.
  56. P. Duclos, P. Stovicek: Floquet Hamiltonians with pure point spectrum,
    Commun. Math. Phys. 177 (1996) 327-347.
  57. B. Jurco, P. Stovicek: Quantum coherent states and the method of orbits,
    "Quantization, Coherent States, and Complex Structures", eds. J.-P. Antoine et al., ( Plenum Publish. Corp., New York, 1995) 211-216.
  58. P. Stovicek: Anyons defined by boundary conditions,
    "Workshop on Singular Schrödinger Operators", SISSATrieste, ILAS/FM-16/1995.
  59. P. Duclos, P. Stovicek: Quantum Fermi accelerators with pure point quasi-spectrum,
    "Partial Differential Operator and Mathematical Physics", eds. M. Demuth et al., Operator Theory, Advances and Applications 78 (Birkhäuser Verlag, Basel, 1995) 109-118.
  60. P. Duclos, P. Exner, P. Stovicek: Resonances at bends of two-dimensional quantum waveguides,
    Proceedings of the third international conference "Stochastic Processes, Physics and Geometry", Locarno, ed. S. Albeverio, (World Scientific, Singapore, 1995) 199-208.
  61. P. Stovicek: Scattering on a finite chain of vortices,
    Duke Math. J. 76 (1994) 303-332.
  62. P. Stovicek: Scattering on several solenoids,
    in "Mathematical Results in Quantum Mechanics", eds. M. Demuth et al., (Birkhäuser Verlag, Basel, 1994) 108-112.
  63. P. Duclos, P. Exner, P. Stovicek: Curvature-induced resonances in a two-dimensional Dirichlet tube,
    Ann. Inst. H. Poincaré 62 (1995) 81-101.
  64. B. Jurco, P. Stovicek: Dressing transformation on quantum compact groups,
    Suppl. Rendiconti Circolo Mat. Palermo II (1993) 39-48.
  65. B. Jurco, P. Stovicek: Quantum dressing orbits on compact quantum groups,
    in "Group Theoretical Methods in Physics XIX", eds. M.A. del Olmo, M. Santander and J. Mateos Guilarte (Editorial CIEMAT, Madrid, 1993) 135-138.
  66. P. Stovicek: Scattering on two solenoids,
    Phys. Rev. A 48 (1993) 3987-3990.
  67. P. Stovicek: Quantum Grassmann manifolds,
    Commun. Math. Phys. 158 (1993) 135-153.
  68. P. Stovicek: Quantum line bundles on S2 and method of orbits for SUq(2),
    J. Math. Phys. 34 (1993) 1606-1613.
  69. B. Jurco, P. Stovicek: Quantum dressing orbits on compact groups,
    Commun. Math. Phys. 152 (1993) 97-126.
  70. P. Stovicek: Method of orbits for SUq(N),
    Czech. J. Phys. B 42 (1992) 1361-1367.
  71. P. Stovicek: The instanton moduli spaces as algebraic sets,
    J. Geom. Phys. 9 (1992) 183-205.
  72. P. Stovicek: Scattering matrix for the two-solenoid Aharonov-Bohm effect,
    Phys. Lett. A 161 (1991) 13-20.
  73. P. Stovicek: Krein's formula approach to the multi-solenoid Aharonov-Bohm effect,
    J. Math. Phys. 32 (1991) 2114-2122.
  74. P. Stovicek: On the initial condition for instanton solutions,
    Commun. Math. Phys. 136 (1991) 53-82.
  75. P. Stovicek: Self-dual Yang-Mills fields: a new description,
    in "Rigorous Results in Quantum Dynamics", eds. J. Dittrich, P. Exner (World Scientific, Singapore, 1991) 317-321.
  76. P. Stovicek, D. Nosek: Monte-Carlo test of Goodman-Erdos conjecture,
    Acta Polytechnica - Prace CVUT v Praze, 10 - IV.2 (1991) 5-16.
  77. P. Exner, P. Seba, P. Stovicek: Semiconductor edges can bind electrons,
    Phys. Lett. A 150 (1990) 179-182.
  78. P. Stovicek: Green function for the Aharonov-Bohm effect with a non-Abelian gauge group,
    in "Order, disorder and chaos in quantum mechanics", eds. P. Exner, H. Neidhardt (Birkhäuser Verlag, Basel 1990) 183-193.
  79. P. Exner, P. Seba, P. Stovicek: Quantum waveguides,
    in LNP 324 : "Applications of self-adjoint extensions in quantum physics", eds. P. Exner, P. Seba, (Springer-Verlag, Berlin-Heilderberg, 1989), pp. 257-266.
  80. P. Exner, P. Seba, P. Stovicek: Quantum waveguides modeled by graphs,
    in Proceedings of the 24th Winter School on Stochastic Methods in Mathematics and Physics, Karpacz 1988, (World Scientific, Singapore, 1989), pp. 375-384.
  81. P. Exner, P. Seba, P. Stovicek: On existence of a bound state in an L -shaped waveguide,
    Czech. J. Phys. B 39 (1989) 1181-1191.
  82. P. Stovicek: The Green function for the two-solenoid Aharonov-Bohm effect,
    Phys. Lett. A 142 (1989) 5-10.
  83. P. Exner, P. Seba, P. Stovicek: Quantum interference on graphs controlled by an external electric field,
    J. Phys. A: Math. Gen. 21 (1988) 4009-4019.
  84. P. Stovicek: Gell-Mann formula for simple complex Lie groups and geometric quantization,
    J. Math. Phys. 29 (1988) 1300-1307.
  85. P. Stovicek: Systems of imprimitivity for the diffeomorphism group II,
    Ann. Global Anal. Geom. 6 (1988) 31-37.
  86. P. Stovicek: Systems of imprimitivity for the group of diffeomorphisms,
    Ann. Global Anal. Geom.5 (1987) 89-95.
  87. P. Stovicek: Quantization and systems of imprimitivity for the group of diffeomorphisms,
    in "XV DGM Conference", eds. H.D. Doebner, J. Henning (World Scientific, 1987) 208-217.
  88. P. Stovicek: Conformal group action on a manifold of instanton solutions,
    Acta Polytechnica -- Prace CVUT v Praze, 10 - IV.1 (1987) 87-103 (in Czech).
  89. P. Stovicek: Poisson structure with singularities, Berezin structure and the Gell-Mann formula,
    in Proceedings of "Differential Geometry and Its Applications", eds. D. Krupka, A. Svec (University of J. E. Purkyne Press, Brno 1986) 295-302.
  90. P. Stovicek: The connection between the self-dual equation in the J-formulation and the ADHM construction,
    JINR preprint E5-85-624 (1985).
  91. P. Stovicek: Dirac monopole derived from the representation theory,
    Suppl. Rendiconti Circolo Mat. Palermo II (1984) 302-306.
  92. P. Stovicek, J. Tolar: Quantum mechanics in a discrete space-time,
    Rep. Math. Phys. 20 (1984) 157-170.
  93. P. Stovicek, J. Tolar: Topology of the configuration manifold and quantum mechanics,
    Acta Polytechnica - Prace CVUT v Praze, 10 - IV.1 (1984) 37-75 (in Czech).
  94. V. Nejedly, P. Stovicek: Estimate of life-time of a mechanical system,
    Acta Polytechnica - Prace CVUT v Praze, scientific conference 1982 (1982) 31-38.
  95. H.D. Doebner, P. Stovicek, J. Tolar: Quantization of the system of two indistinguishable particles,
    Czech. J. Phys. B 31 (1981) 1240-1248.
  96. V. Nejedly, P. Stovicek: Equations of a stochastic model of the fatigue in the space of distributions,
    Acta Polytechnica - Prace CVUT v Praze, 17 - IV.2 (1980) 51-62 (in Czech).

Last update: January 22, 2025