World's Best Scientists 2026 revealed!

Overview

David Krejčiřík is affiliated with the Czech Technical University in Prague in the Czech Republic. Their research primarily focuses on mathematics, with substantial contributions in mathematical physics and computational theory.

Their work covers several subfields of study including:

  • Mathematical Physics
  • Computational Theory and Mathematics
  • Applied Mathematics
  • Atomic and Molecular Physics, and Optics
  • Statistical and Nonlinear Physics

Key topics addressed in their research include:

  • Spectral Theory in Mathematical Physics
  • Advanced Mathematical Modeling in Engineering
  • Numerical methods in inverse problems
  • Quantum Mechanics and Non-Hermitian Physics
  • Nonlinear Partial Differential Equations
  • Advanced Mathematical Physics Problems
  • Topological Materials and Phenomena

Some recent papers authored by David Krejčiřík are:

  • A Sharp Form of the Discrete Hardy Inequality and the Keller-Pinchover-Pogorzelski Inequality, 2022, American Mathematical Monthly
  • Spectral enclosures and stability for non-self-adjoint discrete Schrödinger operators on the half-line, 2022, Bulletin of the London Mathematical Society

Other notable recent papers, although not authored by David Krejčiřík but relevant to the field, include:

  • Absence of Eigenvalues of Dirac and Pauli Hamiltonians via the Method of Multipliers, 2020, Repository KITopen (Karlsruhe Institute of Technology)
  • Location of Eigenvalues of Non-self-adjoint Discrete Dirac Operators, 2020, Annales Henri Poincaré
  • The abstract Birman-Schwinger principle and spectral stability, 2022, Journal d Analyse Mathématique

Frequent co-authors collaborating with David Krejčiřík include:

  • František Štampach
  • Ари Лаптев
  • Luca Fanelli
  • Vladimir Lotoreichik
  • Lucrezia Cossetti

The main venues publishing their work are:

  • arXiv (Cornell University)
  • Annales Henri Poincaré
  • Bulletin of the London Mathematical Society
  • Journal of Functional Analysis
  • Nonlinear Analysis

Best Publications

  • On the metric operator for the imaginary cubic oscillator

    P. Siegl;D. Krejčiřík

  • Pseudospectra in non-Hermitian quantum mechanics

    D. Krejčiřík;Petr Siegl;M. Tater;J. Viola

  • Bound States in Curved Quantum Layers

    Pierre Duclos;Pavel Exner;David Krejcirik

  • Topologically nontrivial quantum layers

    G. Carron;P. Exner;D. Krejčiřı́k

  • Bound States in Weakly Deformed Strips and Layers

    D. Borisov;P. Exner;R. Gadyl'shin;D. Krejčiřík

  • The Hardy inequality and the heat equation in twisted tubes

    David Krejcirík;Enrique Zuazua

  • Perfect transmission scattering as a PT-symmetric spectral problem

    H. Hernandez-Coronado;D. Krejčiřík;P. Siegl;P. Siegl

  • Absence of eigenvalues of two-dimensional magnetic Schrödinger operators

    Luca Fanelli;David Krejčiřík;Luis Vega;Luis Vega

  • A lower bound to the spectral threshold in curved tubes

    P. Exner;P. Freitas;D. Krejcirik

  • Absence of Eigenvalues of Dirac and Pauli Hamiltonians via the Method of Multipliers

    Lucrezia Cossetti;Luca Fanelli;David Krejčiřík

  • The minimally anisotropic metric operator in quasi-Hermitian quantum mechanics

    David Krejčiřík;Vladimir Lotoreichik;Miloslav Znojil

  • The asymptotic behaviour of the heat equation in a twisted Dirichlet-Neumann waveguide

    David Krejčiřík;David Krejčiřík;Enrique Zuazua;Enrique Zuazua

  • Pseudomodes for Schrödinger operators with complex potentials

    David Krejčiřík;Petr Siegl

  • Location of eigenvalues of three-dimensional non-self-adjoint Dirac operators

    Luca Fanelli;David Krejčiřík

  • Bound states in mildly curved layers

    P Exner;P Exner;D Krejcirík

  • Magnetic effects in curved quantum waveguides

    David Krejčiřík;Nicolas Raymond

  • Quantum waveguides with a lateral semitransparent barrier: spectral and scattering properties

    P Exner;P Exner;D Krejcirík;D Krejcirík

  • The Pauli equation with complex boundary conditions

    D Kochan;D Krejčiřík;R Novák;P Siegl

  • Location of Eigenvalues of Non-self-adjoint Discrete Dirac Operators

    B. Cassano;O.O. Ibrogimov;David Krejčiřík;F. Štampach

  • An indefinite Laplacian on a rectangle

    Jussi Behrndt;David Krejčiřík

Frequent Co-Authors

Luis Vega
Luis Vega University of the Basque Country

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