I am the principal investigator of my postdoctoral project, "Spectral Analysis of Non-Selfadjoint Operators in Mathematical physics", funded by the grant on International Mobility of Researchers MSCA-F-CZ-II– CZ.02.01.01/00/22_010/0005725 at Czech Technical University in Prague, Czech Republic.
The project is carried out at Cardiff University, United Kingdom, where I am working with Marco Marletta as a part of the Mathematical Analysis Research Group of the School of Mathematics.
Research interests:
Non-self-adjoint operators
Spectral theory
PT symmetric quantum mechanics
Schroedinger operators with complex potentials
Publications:
Behrndt, J., Semorádová, I., & Siegl, P. (2024) The imaginary Airy operator with a one-center δ-interaction. Pure and Applied Functional Analysis 9 (4), 915-934. Preprint
Semorádová, I., & Siegl, P. (2022). Diverging Eigenvalues in Domain Truncations of Schrödinger Operators with Complex Potentials. SIAM Journal on Mathematical Analysis, 54(4), 5064-5101. Preprint
Znojil, M., & Semorádová, I. (2018). Log-anharmonic oscillator and its large-N solution. Modern Physics Letters A, 33(38), 1850223.
Znojil, M., & Semorádová, I. (2018). Quantum square-well with logarithmic central spike. Modern Physics Letters A, 33(02), 1850009.
Bagchi, B., Kamil, S. M., Tummuru, T. R., Semorádová, I., & Znojil, M. (2017). Branched Hamiltonians for a class of velocity dependent potentials. In Journal of Physics: Conference Series (Vol. 839, No. 1, p. 012011). IOP Publishing.
Znojil, M., Semorádová, I., Růžička, F., Moulla, H., & Leghrib, I. (2017). Problem of the coexistence of several non-Hermitian observables in PT-symmetric quantum mechanics. Physical Review A, 95(4), 042122.
Semorádová, I. (2017). Crypto-Hermitian approach to the Klein-Gordon equation. Acta Polytechnica, 57(6), 462-466
Fernández, F. M., Garcia, J., Semorádová, I., & Znojil, M. (2015). Ad hoc physical Hilbert spaces in Quantum Mechanics. International Journal of Theoretical Physics, 54, 4187-4203.
Selected invited and contributed talks:
The King’s College London Analysis Seminar, May 1st, 2025, London, UK
Joint Meeting of NZMS, AustMS and AMS, December 9-13, 2024, Auckland, New Zealand
Analysis and PDE seminar, Durham University, October 29th, 2024, Durham, UK
Seminar on Operator Theory, Technical University in Graz, October 17th, 2024, Graz, Austria
UK Workshop on Spectral Theory, ICMS, Bayes Centre, September 9-13, 2024, Edinburgh, UK
35th International Workshop on Operator Theory and its Applications, University of Kent, August 12-16, 2024, Canterbury, UK
LMS Bath symposium: Advances in Spectral theory, July 22-26, 2024, Bath, UK
Seminar of the Mathematical Analysis Research group, Cardiff University, December 11, 2023, Cardiff, UK
Seminar of the Institute of Applied Mathematics, Technical University in Graz, April 28, 2022, and March 9, 2023, Graz, Austria
32nd International Workshop on Operator Theory and its Applications, August 9-13, 2021, California, USA (online)
Virtual Pseudo-Hermitian Hamiltonians in Quantum Physics, June 3, 2021, online
Mathematical aspects of the physics with non-self-adjoint operators: 10 years after, February 1-5, 2021, Marseille, France
VA2MP: virtual Analytic and Algebraic Methods in Physics, September 2-3, 2020, Prague, Czech Republic
Colloquium of Mathematical Sciences Research Centre, Queens University Belfast, November 8, 2019, Belfast, United Kingdom
PT-Symmetry and Physics with Non-Hermitian Hamiltonians - PHHQP XIX, March 18-22, 2019, Sanya, Hainan, China
Non-Hermitian Physics - PHHQP XVIII, June 4-13, 2018, Bangalore, India