Google Scholar profile

Preprints

1. Pseudomodes for Schrödinger operators with complex potentials
D. Krejčiřík and P. Siegl
arXiv:1705.01894

Journal Papers

32. Damped wave equation with unbounded damping
P. Freitas, P. Siegl and C. Tretter, Journal of Differential Equations, 264, (2018) 7023-7054
arXiv:1802.07026
31. Eigenvalues of one-dimensional non-self-adjoint Dirac operators and applications
J.-C. Cuenin and P. Siegl, Letters in Mathematical Physics, to appear
arXiv:1705.04833
30. 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
29. 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
28. Local form-subordination condition and Riesz basisness of root systems
B. Mityagin and P. Siegl, Journal d'Analyse Mathématique, to appear
arXiv:1608.00224
27. 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
26. 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
25. 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
24. Bifurcation of eigenvalues in nonlinear problems with antilinear symmetry
T. Dohnal and P. Siegl, Journal of Mathematical Physics, 57, (2016) 093502
arXiv:1504.00054
23. Spectra of definite type in waveguide models
V. Lotoreichik and P. Siegl, Proceedings of the AMS, 145, (2017) 1231-1246
arXiv:1602.08883
22. 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
20. 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
  19. 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
18. 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
17. Spectra of graphene nanoribbons with armchair and zigzag boundary conditions
P. Freitas and P. Siegl, Reviews in Mathematical Physics, 26, (2014) 1450018 (32 pp)
  16. Remarks on the Convergence of Pseudospectra
S. Bögli and P. Siegl, Integral Equations and Operator Theory, 80, (2014) 303-321
arXiv:1408.3431
  15. Non-self-adjoint graphs
A. Hussein, D. Krejčiřík, and P. Siegl, Transactions of the AMS, 367, (2015) 2921-2957
arXiv:1308.4264
14. On the metric operator for the imaginary cubic oscillator
P. Siegl and D. Krejčiřík, Physical Review D, 86, (2012) 121702(R)
arXiv:1208.1866
  13. 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
  12. The Pauli equation with complex boundary conditions
D. Kochan, D. Krejčiřík, R. Novák, and P. Siegl, JPA, 45, (2012) 444019
arXiv:1203.5011
  11. PT-Symmetric Laplace-Beltrami Operator in the Strip on a Sphere (open problem)
P. Siegl, Integral Equations and Operator Theory, 73, (2012) 5-6
  10. New SUSYQM coherent states for Pöschl-Teller potentials: a detailed mathematical analysis
H. Bergeron, P. Siegl, and A. Youssef, JPA, 45, (2012) 244028
arXiv:1112.0935
9. 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, animation
  8. PT-Symmetric Square Well-Perturbations and the Existence of Metric Operator
P. Siegl, International Journal of Theoretical Physics, 50, (2011) 991-996
7. 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, animation
  6. PT-symmetric models in curved manifolds
D. Krejčiřík, P. Siegl, JPA, 43, (2010) 485204
arXiv:1001.2988, animation
  5. Krein Spaces in de Sitter Quantum Theories
J.-P. Gazeau, P. Siegl, and A. Youssef, SIGMA, 6 (2010), 011, (23pp)
4. Scattering in the PT-symmetric Coulomb potential
G. Lévai, P. Siegl, and M. Znojil, JPA, 42, (2009) 295201
arXiv:0906.2092
  3. 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
  2. The non-equivalence of pseudo-Hermiticity and presence of antilinear symmetry
P. Siegl, PRAMANA-Journal of Physics, 73, (2009) 279-287
1. Supersymmetric quasi-Hermitian Hamiltonians with point interactions on a loop
P. Siegl, JPA, 41, (2008) 244025