Institut für Angewandte Mathematik (Math D)
Publications Petr Siegl

Google Scholar
 
Book chapter
    Elements of spectral theory without the spectral theorem
    D. Krejčiřík and P. Siegl
    in Non‐Selfadjoint Operators in Quantum Physics: Mathematical Aspects, Wiley-VCH, 2015
     
Preprints
  1. Generalised Airy Operators
    A. Arnal and P. Siegl
    arXiv:2208.14389
     
Papers
  1. The imaginary Airy operator with a one-center δ-interaction
    J. Behrndt, I. Semorádová and P. Siegl
    Pure and Applied Functional Analysis 9 (2024), 915-934
     
  2. Resolvent estimates for one-dimensional Schrödinger operators with complex potentials
    A. Arnal and P. Siegl
    Journal of Functional Analysis, 284 (2023), 109856, arXiv:2203.15938
     
  3. Concentration of eigenfunctions of Schrödinger operators
    B. Mityagin, P. Siegl and J. Viola
    Journal of Fourier Analysis and Applications, 28, (2022), arXiv:1910.10048
     
  4. Diverging eigenvalues in domain truncations of Schrödinger operators with complex potentials
    I. Semorádová and P. Siegl
    SIAM Journal on Mathematical Analysis, 54, (2022), arXiv:2107.10557
     
  5. On the point spectrum in the Ekman boundary layer problem
    B. Gerhat, O. O. Ibrogimov and P. Siegl
    Communications in Mathematical Physics, 392, (2022), 377-397
     
  6. The shifted harmonic oscillator and the hypoelliptic Laplacian on the circle
    B. Mityagin, P. Siegl and J. Viola
    Annales Henri Poincaré, 22, (2021) 3311-3355, arXiv:2011.12027
     
  7. The damped wave equation with singular damping
    P. Freitas, N. Hefti and P. Siegl
    Proceedings of the AMS, 148, (2020) 4273-4284, arXiv:2002.03440
     
  8. Pseudospectra of the damped wave equation with unbounded damping
    A. Arifoski and P. Siegl
    SIAM Journal on Mathematical Analysis, 52, (2020) 1343–1362, arXiv:2001.07767
     
  9. Pseudomodes for Schrödinger operators with complex potentials
    D. Krejčiřík and P. Siegl
    Journal of Functional Analysis, 276, (2019) 2856-2900, arXiv:1705.01894
     
  10. Damped wave equation with unbounded damping
    P. Freitas, P. Siegl and C. Tretter
    Journal of Differential Equations, 264, (2018) 7023-7054, arXiv:1802.07026
     
  11. Eigenvalues of one-dimensional non-self-adjoint Dirac operators and applications
    J.-C. Cuenin and P. Siegl
    Letters in Mathematical Physics, 108, (2018) 1757-1778, arXiv:1705.04833
     
  12. Reduction of dimension as a consequence of norm-resolvent convergence and applications
    D. Krejčiřík, N. Raymond, J. Royer and P. Siegl
    Mathematika, 64, (2018) 406-429, arXiv:1701.08819
     
  13. Approximations of spectra of Schrödinger operators with complex potentials on R^d
    S. Bögli, P. Siegl and C. Tretter
    Communications in Partial Differential Equations, 42, (2017) 1001-1041, arXiv:1512.01826
     
  14. Local form-subordination condition and Riesz basisness of root systems
    B. Mityagin and P. Siegl
    Journal d'Analyse Mathématique, 139, (2019) 83-119, arXiv:1608.00224
     
  15. Differential operators admitting various rates of spectral projection growth
    B. Mityagin, P. Siegl, and J. Viola
    Journal of Functional Analysis, 272, (2017) 3129–3175, arXiv:1309.3751
     
  16. Spectral analysis of non-self-adjoint Jacobi operator associated with Jacobian elliptic functions
    P. Siegl and F. Štampach
    Operators and Matrices, 11, (2017) 901-928, arXiv:1603.01052
     
  17. Non-accretive Schrödinger operators and exponential decay of their eigenfunctions
    D. Krejčiřík, N. Raymond, J. Royer and P. Siegl
    Israel Journal of Mathematics, 221, (2017) 779–802, arXiv:1605.02437
     
  18. Bifurcation of eigenvalues in nonlinear problems with antilinear symmetry
    T. Dohnal and P. Siegl
    Journal of Mathematical Physics, 57, (2016) 093502, arXiv:1504.00054
     
  19. Spectra of definite type in waveguide models
    V. Lotoreichik and P. Siegl
    Proceedings of the AMS, 145, (2017) 1231-1246, arXiv:1602.08883
     
  20. On extremal properties of Jacobian elliptic functions with complex modulus
    P. Siegl and F. Štampach
    Journal of Mathematical Analysis and Applications, 442, (2016) 627–641, arXiv:1512.06089
     
  21. Analysis of the essential spectrum of singular matrix differential operators
    O. O. Ibrogimov, P. Siegl and C. Tretter
    Journal of Differential Equations, 260, (2016) 3881-3926, arXiv:1512.00759
     
  22. Pseudospectra in non-Hermitian quantum mechanics
    D. Krejčiřík, P. Siegl, M. Tater and J. Viola
    Journal of Mathematical Physics, 56, (2015) 103513, arXiv:1402.1082
     
  23. Root system of singular perturbations of the harmonic oscillator type operators
    B. Mityagin and P. Siegl
    Letters in Mathematical Physics, 106, (2016) 147-167, arXiv:1307.6245
     
  24. Hydrogen atom in space with a compactified extra dimension and potential defined by Gauss' law
    M. Bureš and P. Siegl
    Annals of Physics, 354, (2015) 316–327, arXiv:1409.8530
     
  25. Spectra of graphene nanoribbons with armchair and zigzag boundary conditions
    P. Freitas and P. Siegl
    Reviews in Mathematical Physics, 26, (2014) 1450018 (32 pp)
     
  26. Remarks on the Convergence of Pseudospectra
    S. Bögli and P. Siegl
    Integral Equations and Operator Theory, 80, (2014) 303-321, arXiv:1408.3431
     
  27. Non-self-adjoint graphs
    A. Hussein, D. Krejčiřík and P. Siegl
    Transactions of the AMS, 367, (2015) 2921-2957, arXiv:1308.4264
     
  28. On the metric operator for the imaginary cubic oscillator
    P. Siegl and D. Krejčiřík
    Physical Review D, 86, (2012) 121702(R), arXiv:1208.1866
     
  29. On the similarity of Sturm-Liouville operators with non-Hermitian boundary conditions to self-adjoint and normal operators
    D. Krejčiřík, P. Siegl and J. Železný
    Complex Analysis and Operator Theory, 8, (2014) 255-281, arXiv:1108.4946
     
  30. The Pauli equation with complex boundary conditions
    D. Kochan, D. Krejčiřík, R. Novák and P. Siegl
    Journal of Physics A, 45, (2012) 444019, arXiv:1203.5011
     
  31. PT-Symmetric Laplace-Beltrami Operator in the Strip on a Sphere (open problem)
    P. Siegl
    Integral Equations and Operator Theory, 73, (2012) 5-6
     
  32. New SUSYQM coherent states for Pöschl-Teller potentials: a detailed mathematical analysis
    H. Bergeron, P. Siegl and A. Youssef
    Journal of Physics A, 45, (2012) 244028, arXiv:1112.0935
     
  33. Perfect transmission scattering as a PT-symmetric spectral problem
    H. Hernandez-Coronado, D. Krejčiřík and P. Siegl
    Physics Letters A, 375, (2011) 2149-2152, arXiv:1011.4281
     
  34. PT-Symmetric Square Well-Perturbations and the Existence of Metric Operator
    P. Siegl
    International Journal of Theoretical Physics, 50, (2011) 991-996
     
  35. Semi-classical behavior of Pöschl-Teller coherent states
    H. Bergeron, J.-P. Gazeau, P. Siegl and A. Youssef
    EPL (Europhysics Letters), 92, (2011) 60003, arXiv:1007.3876
     
  36. PT-symmetric models in curved manifolds
    D. Krejčiřík and P. Siegl
    Journal of Physics A, 43, (2010) 485204, arXiv:1001.2988
     
  37. Krein Spaces in de Sitter Quantum Theories
    J.-P. Gazeau, P. Siegl and A. Youssef
    SIGMA, 6 (2010), 011, (23pp)
     
  38. Scattering in the PT-symmetric Coulomb potential
    G. Lévai, P. Siegl and M. Znojil
    Journal of Physics A, 42, (2009) 295201, arXiv:0906.2092
     
  39. Asymptotically vanishing PT-symmetric potentials and negative-mass Schrödinger equations
    M. Znojil, P. Siegl and G. Lévai
    Physics Letters A, 373, (2009) 1921-1924, arXiv:0903.5468
     
  40. The non-equivalence of pseudo-Hermiticity and presence of antilinear symmetry
    P. Siegl
    PRAMANA-Journal of Physics, 73, (2009) 279-287
     
  41. Supersymmetric quasi-Hermitian Hamiltonians with point interactions on a loop
    P. Siegl
    Journal of Physics A, 41, (2008) 244025