Kinetics of low-temperature gas of hydrogen-like atoms in external electromagnetic field
Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine 14-b Metrolohichna Str., Kyiv 03143, Ukraine
Yu.V. Slyusarenko, and S.N. Shulga
Akhiezer Institute for Theoretical Physics, National Science Center “Kharkov Institute of Physics and Technology” Kharkov 61108, Ukraine V.N. Karazin Kharkiv National University, Kharkiv 61077, Ukraine
Received May 7, 2018, published online August 28, 2018
A microscopic approach is developed to consistent construction of kinetic theory of low temperature dilute gases of hydrogen-like atoms in an external electromagnetic field. The approach is based upon the formulations of the secondary quantization method in the presence of bound states of the particles. It is supposed that the bound state (for example, hydrogen-like atom of alkali metal) is formed by two charged fermions of different sorts, namely — the valence electron and the frame. The basis for deduction of kinetic equations is the method of reduced description of relaxation processes. In the framework of the developed method a system of kinetic equations is obtained, that refers to Wigner distribution functions of free fermions of both sorts and their bound states — hydrogen-like atoms with account of impact of external and self-consistent (mean) fields. The obtained equations of motion for the Wigner distribution functions must serve as a basis for the analysis of non-equilibrium effects and of the phenomena connected with the influence of the external electromagnetic field upon the low temperature gases of alkali atoms.
Key words: kinetic theory, low temperature gases, alkali metals vapors, hydrogen-like plasma, external electromagnetic field, Wigner distribution functions, kinetic equations.