Research

I am a postdoc and instructor at the Institute of Nuclear Sciences at the UNAM. I received my Ph.D. in physics at Auburn University Physics Department. I did research work in the atomic physics group. The problems we consider are fundamentally related to the two Coulomb center (TCC) system subjected to various environments, which is physically related to diatomic molecules and quasi-molecules, as well as exotic atoms.

In 2014 - 2016 I worked in the field of nonlinear dynamics with Dr. David P. Sanders. We developed zero-finding tools using interval arithmetic, the numerical methods which operate on intervals rather than numbers, thus enabling us to obtain results which are enclosed by the resulting interval with certainty (e.g., described in this book; the author's website). We were using the modern language Julia designed for scientific computation. Using the developed tools, we studied various chaotic systems. Here is my GitHub repository.

In 2016 - 2018 I worked on a project in plasma physics with Dr. Julio J. Martinell. We performed analytical studies of transport of test particles in weak-turbulence plasmas using the much more efficient model of a mapping instead of numerical solving of differential equations.

Publications

• N. Kryukov and E. Oks. Relativistic Effects for a Hydrogen Rydberg Atom in a High-Frequency Laser Field: Analytical Results. Foundations 2 (1) (2022) 105. DOI PDF
• N. Kryukov and E. Oks. Circular Rydberg states of helium atoms or helium-like ions in a high-frequency laser field. Open Physics 19 (1) (2021) 11. DOI PDF
• N. Kryukov and E. Oks. The role of the Debye screening of circular Rydberg states of hydrogenic systems in collinear electric and magnetic fields of arbitrary strengths. Europ. Phys. J. D 74 (2020) 125. DOI PDF
• N. Kryukov and E. Oks. Analytical results for one-electron Rydberg quasimolecules in a high-frequency laser field. Europ. Phys. J. D 74 (2020) 82. DOI PDF
• N. Kryukov and E. Oks. One-Electron Rydberg Quasimolecules in a High-Frequency Linearly-Polarized Laser Field. Intern. Review of Atomic and Molecular Phys. 9.2 (2018) 51. PDF
• N. Kryukov, J. J. Martinell and D. del-Castillo-Negrete. Finite Larmor radius effects on E x B weak turbulence transport. Journal of Plasma Physics 84 (2018) 03. DOI PDF
• N. Kryukov and E. Oks. Conic-Helical Motion in the Three-Body Problem: Star-Planet-Moon Systems and Relativistic Effects in Binary-Star-Planet Systems. J. Astrophys. Aerospace Technol. 5 (2017) 144. DOI PDF
• N. Kryukov and E. Oks. Classical Description of Charge Exchange Involving He-like or Li-like Ions in Rydberg States in Plasmas. J. Phys. B: At. Mol. Opt. Phys. 49 (2016) 035002. DOI PDF
• A. S. Kraemer, N. Kryukov and D. P. Sanders. Efficient algorithms for general periodic Lorentz gases in two and three dimensions. J. Phys. A: Mathematical and Theoretical 49 (2) 025001 (2015). DOI PDF
• N. Kryukov and E. Oks. Rydberg Quasimolecules Consisting of a Li-like Ion and Fully-Stripped Ion: Classical Description of Crossings of Energy Terms and of Charge Exchange. Intern. Review of Atomic and Molecular Phys. 6.1 (2015) 23. PDF
• N. Kryukov and E. Oks. Astrophysical Analogue of One-Electron Rydberg Quasimolecules: One-Planet Binary Star Systems. Intern. Review of Atomic and Molecular Phys. 6.1 (2015) 7. PDF
• N. Kryukov and E. Oks. Rydberg Quasimolecules Consisting of a He-like Ion and a Fully-Stripped Ion: Classical Description of Crossings of Energy Terms and of Charge Exchange. Intern. Review of Atomic and Molecular Phys. 5.1 (2014) 49. PDF
• N. Kryukov and E. Oks. Applications of the Classical Two-Coulomb-Center Systems to Atomic/Molecular Physics (review). Intern. Review of Atomic and Molecular Phys. 4.2 (2013) 121. PDF
• N. Kryukov and E. Oks. Muonic-electronic quasi molecules based on a fully stripped multicharged ion. Can. J. Phys. 92 (2014) 1405. DOI PDF
• N. Kryukov and E. Oks. Analytical Solutions for Diatomic Rydberg Quasimolecules in a Laser Field. Europ. Phys. J. D 68 (2014) 171. DOI PDF
• N. Kryukov and E. Oks. Ionization channel of continuum lowering in plasmas: effects of plasma screening, electric and magnetic fields. J. Phys. B: At. Mol. Opt. Phys. 46 (2013) 245701. DOI PDF
• N. Kryukov and E. Oks. Effects of plasma screening on circular states of diatomic Rydberg quasimolecules and their application to continuum lowering in plasmas. Intern. Review of Atomic and Molecular Phys. 3.2 (2012) 113. PDF
• N. Kryukov and E. Oks. Muonic-electronic negative hydrogen ion: circular states. Can. J. Phys. 91 (2013) 715. DOI PDF
• N. Kryukov and E. Oks. Classical description of circular states of a molecule μpe. Intern. Review of Atomic and Molecular Phys. 3.1 (2012) 17. PDF
• N. Kryukov and E. Oks. Electric field induced crossings of energy terms of a Rydberg quasi molecule enhancing charge exchange and ionization. Can. J. Phys. 90 (2012) 647. DOI PDF
• N. Kryukov and E. Oks. Supergeneralized Runge-Lenz vector in the problem of two Coulomb or Newton centers. Phys. Rev. A 85 (2012) 054503. DOI PDF
• N. Kryukov and E. Oks. On the Additional Integral of the Motion in the Problem of Two Coulomb or Newton Centers. Intern. Review of Atomic and Molecular Phys. 2.2 (2011) 105. PDF
• N. Kryukov and E. Oks. A classical description of electric-field induced crossings of energy levels enhancing charge exchange and ionization. Intern. Review of Atomic and Molecular Phys. 2.1 (2011) 57. PDF