World's Best Scientists 2026 revealed!
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Mathematics
Czechia
2026

D-Index & Metrics

Mathematics

D-Index
58
Citations
11627
World Ranking
645
National Ranking
4

Research.com Recognitions

  • 2026 - Research.com Mathematics in Czechia Leader Award
  • 2025 - Research.com Mathematics in Czechia Leader Award
  • 2023 - Research.com Mathematics in Czechia Leader Award
  • 2010 - Member of Academia Europaea

Overview

Pavel Exner is affiliated with the Czech Technical University in Prague in Czech Republic. Their research spans mathematics and physics, with a focus on mathematical physics and its applications to atomic and molecular physics and optics. Their work also touches on computational theory, statistical and nonlinear physics, and general health professions.

The main fields of study for Pavel Exner include:

  • Mathematics
  • Physics and Astronomy

Subfields in which they actively contribute are:

  • Mathematical Physics
  • Atomic and Molecular Physics, and Optics
  • Computational Theory and Mathematics
  • Statistical and Nonlinear Physics
  • General Health Professions

The primary topics covered in their research are:

  • Spectral Theory in Mathematical Physics
  • Numerical methods in inverse problems
  • Advanced Mathematical Modeling in Engineering
  • Quantum chaos and dynamical systems
  • Quantum optics and atomic interactions
  • Quantum Mechanics and Non-Hermitian Physics
  • Topological Materials and Phenomena

Pavel Exner has published research in various venues, frequently appearing in:

  • arXiv (Cornell University)
  • Journal of Physics A Mathematical and Theoretical
  • Journal of Mathematical Physics
  • Annales Henri Poincaré
  • Letters in Mathematical Physics

Some of the recent papers by Pavel Exner include:

  • Topological bulk-edge effects in quantum graph transport, 2020, Physics Letters A
  • Soft quantum waveguides in three dimensions, 2022, Journal of Mathematical Physics
  • Spectral optimization for Robin Laplacian on domains admitting parallel coordinates, 2022, Mathematische Nachrichten
  • Spectrum of periodic chain graphs with time-reversal non-invariant vertex coupling, 2022, Annals of Physics
  • Note on a Product Formula Related to Quantum Zeno Dynamics, 2021, Annales Henri Poincaré

The scientist has collaborated frequently with the following co-authors:

  • Marzieh Baradaran
  • Jiř̌í Lipovský
  • Vladimir Lotoreichik
  • David Spitzkopf
  • Markus Holzmann

Pavel Exner was recognized as a Member of Academia Europaea in 2010.

Best Publications

  • CURVATURE-INDUCED BOUND STATES IN QUANTUM WAVEGUIDES IN TWO AND THREE DIMENSIONS

    P. Duclos;P. Exner

  • Bound states in curved quantum waveguides

    P. Exner;P. Seba

  • Hilbert Space Operators in Quantum Physics

    Jiří Blank;Pavel Exner;Miloslav Havlíček

  • Open quantum systems and Feynman integrals

    Pavel Exner

  • Schrödinger-Operators with Singular Interactions

    J. F. Brasche;P. Exner;Yu. A. Kuperin;P. Seba

  • Analysis on graphs and its applications

    Pavel Exner;Jonathan Keating;Peter Kuchment;Toshikazu Sunada

  • Convergence of spectra of graph-like thin manifolds

    Pavel Exner;Pavel Exner;Pavel Exner;Olaf Post;Olaf Post;Olaf Post

  • Free quantum motion on a branching graph

    P. Exner;P. Šeba

  • Contact interactions on graph superlattices

    Pavel Exner

  • Geometrically induced spectrum in curved leaky wires

    P Exner;P Exner;T Ichinose

  • Periodic Schrödinger operators with large gaps and Wannier-Stark ladders.

    J. E. Avron;P. Exner

  • Bound states and scattering in quantum waveguides coupled laterally through a boundary window

    P. Exner;P. Šeba;M. Tater;D. Vaněk

  • On existence of a bound state in an L-shaped waveguide

    P. Exner;P. Šeba;P. Št'oviček

  • Lattice Kronig-Penney models.

    Pavel Exner;Pavel Exner

  • Bound States in Curved Quantum Layers

    Pierre Duclos;Pavel Exner;David Krejcirik

  • Bound States in Curved Quantum Layers

    P. Duclos;P. Exner;D. Krejčiřík

  • Potential Approximations to δ': An Inverse Klauder Phenomenon with Norm-Resolvent Convergence

    Pavel Exner;Hagen Neidhardt;Valentin A. Zagrebnov

  • Asymptotic estimates for bound states in quantum waveguides coupled laterally through a narrow window

    P. Exner;S. A. Vugalter

  • Asymptotics of eigenvalues of the Schrödinger operator with a strong δ-interaction on a loop

    Pavel Exner;Kazushi Yoshitomi

  • Topologically nontrivial quantum layers

    G. Carron;P. Exner;D. Krejčiřı́k

  • Leaky Quantum Graphs: A Review

    Pavel Exner

Frequent Co-Authors

Evans M. Harrell
Evans M. Harrell Georgia Institute of Technology
Michael Loss
Michael Loss Georgia Institute of Technology
Peter Kuchment
Peter Kuchment Texas A&M University
Rupert L. Frank
Rupert L. Frank California Institute of Technology
Sergio Albeverio
Sergio Albeverio University of Bonn
David Krejčiřík
David Krejčiřík Czech Technical University in Prague

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