R&D registration number in UkrISTEI: No. 0116U002097
What priority area of science and technology does it correspond to: fundamental scientific research on the most important problems of developing scientific, technical, socio-economic, socio-political, human potential to ensure Ukraine’s competitiveness in the world and sustainable development of society and the state.
Research: fundamental.
Funding source: University funds.
Perspective for further implementation in 2021-2022: completed.
Research level: no analogues in the world.
Patent: no
What additional actions require further research: availability of funding.
Brief description, advantages, further prospects for application.
A complex of new methods of computational mathematics, mathematical physics in the problems of theoretical quantum optics, atomic, molecular spectroscopy has been developed, in particular, the theoretical quantum-mathematical foundations of a new, ab initio relativistic theory of describing the shift and expansion of the spectral lines of the NTS of exchange-correlation effects and its use in atomic and molecular spectroscopic calculations of landslides and line extensions of the hyperfine structure of alkali, rare-earth atoms and other atoms in a gaseous atmosphere. New numerical approaches have been developed and, on the basis of their implementation, new spectroscopic information on the shift and broadening of the NTS spectral lines of heavy atoms in an atmosphere of buffer gases, with correct allowance for exchange-correlation effects, has been obtained. It is of considerable interest both in terms of theoretical verification of new effects and in terms of its use for solving a wide range of other problems of mathematical physics and computational mathematics, linear algebra and probability theory, as well as quantum optics, atomic and molecular spectroscopy.