Theoretical atomic physics

Homepage of Vojtěch Patkóš

Associate Professor at the Department of Chemical Physics and Optics, Faculty of Mathematics and Physics, Charles University.

I work on precise theoretical calculations of atomic spectra in light atoms, with a focus on quantum electrodynamic effects, few-body systems, and comparisons with high-precision experiments.

Abstract illustration of an atom and spectral lines
Research focus Bound-state QED, light atoms, exotic atomic systems, and precision spectroscopy.
Teaching Quantum mechanics, quantum theory, quantum electrodynamics, and physics courses.
Students Thesis topics in theoretical atomic physics, precise calculations, and few-body systems.

Research

Precise theory for light atoms

My research is in theoretical atomic physics, especially high-precision quantum electrodynamic calculations in light atoms and exotic atomic systems. I study energy levels, fine and hyperfine structure, recoil and nuclear-structure effects, and related questions where accurate theory can be compared with precision measurements.

These calculations contribute to tests of bound-state QED, searches for possible deviations from the Standard Model, and the determination of fundamental constants and nuclear properties.

  • Quantum electrodynamic corrections to spectra of light atoms
  • Fine and hyperfine structure in few-body atomic systems
  • Recoil, finite nuclear size, and nuclear structure effects
  • Exotic systems such as muonic hydrogen, muonium, positronium, and antiprotonic atoms
  • High-precision comparison between theory and experiment

Research details

Publications

Recent work

Selected recent publications in bound-state QED, recoil effects, hyperfine structure, and exotic atomic systems.

  • QED nuclear recoil effect in helium isotope shift K. Pachucki, V. Patkóš, and V. A. Yerokhin, Phys. Rev. A 113, 012824 (2026).
  • Antiprotonic atoms with nonperturbative inclusion of vacuum polarization and finite nuclear mass V. Patkóš and K. Pachucki, Phys. Rev. A 112, 052808 (2025).
  • Recoil corrections with finite nuclear size in hydrogenic systems K. Pachucki, V. Patkóš, and V. A. Yerokhin, Phys. Rev. A 111, 032820 (2025).
  • Higher-order QED corrections to hyperfine splitting in 3He V. Patkóš, V. A. Yerokhin, and K. Pachucki, Phys. Rev. Lett. 131, 183001 (2023).

Full publication list

Teaching

Teaching at Charles University

I teach courses in quantum mechanics, quantum theory, quantum electrodynamics, and selected topics in physics for students of physics, chemistry, and biology at the Faculty of Mathematics and Physics, Charles University.

  • NFOE021Exercises in Physics
  • NFOE022Practise of Quantum Mechanics for Chemists
  • NFOE018Further Chapters on Physics for Biologists
  • NFOE004Physics III - for the Faculty of Natural Sciences
  • NBCM154Quantum Electrodynamics
  • NBCM241Principles of Physics III - Quantum Mechanics
  • NOFY127Introduction to Quantum Mechanics
  • NAFY017Introduction to Quantum Theory
  • NFOE017Selected Topics on Physics
  • NBCM182Introduction to Quantum Theory for Experimental Physicists in PhD Study

Teaching details

Teaching in SIS

Students

Thesis topics in theoretical atomic physics

I supervise bachelor's, master's, and doctoral theses in theoretical atomic physics. I offer topics related to precise calculations of energy levels in light atoms, quantum electrodynamic corrections, and numerical methods for few-body atomic systems.

Current directions

  • Precise theoretical calculations of energy levels in light atoms
  • Energy levels of one-electron atoms with accurate treatment of vacuum polarization or finite nuclear radius
  • Numerical solution of the Schrödinger equation for two-body and few-body atomic systems

Students interested in theoretical atomic physics are welcome to contact me by email. A good starting point is curiosity about quantum mechanics, mathematical methods, and careful analytical or numerical calculation.

Information for students

Thesis topics and supervised theses in SIS

Contact

Contact and affiliation

Address

Faculty of Mathematics and Physics
Charles University
Ke Karlovu 3, Prague 2
Office: M 171