Laser Physics and Photonics, Oral Report

CALCULATIONS OF METASTABLE AND RYDBERG STATES OF ATOMIC AND MOLECULAR SYSTEMS

Vladimir L. Derbov, Saratov State University, Saratov, Russia;
Galmandakh Chuluunbaatar, Joint Institute for Nuclear Research, Dubna, Russia, RUDN University, Moscow, Russia;
Alexander A. Gusev, Joint Institute for Nuclear Research, Dubna, Russia; Ochbadrakh Chuluunbaatar, Joint Institute for Nuclear Research, Dubna, Russia, Institute of Mathematics, National University of Mongolia, Ulaanbaatar, Mongolia;
Sergue I. Vinitsky, Joint Institute for Nuclear Research, Dubna, Russia, RUDN University, Moscow, Russia;
Alexander V. Mitin, Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Region, Russia, Chemistry Department, Lomonosov Moscow State University, Moscow, Russia, Joint Institute for High Temperatures of RAS, Moscow, Russia

ABSTRACT

The computational scheme and calculation results of metastable and Rydbegra states of atomic and molecular systems important for laser spectroscopy are presented. The mathematical model is formulated as a multidimensional boundary-value problem with mixed-type boundary conditions, which is reduced by the Kantorovich method to a second-order ODE system in one of the variables using an adiabatic representation in the basis of eigenfunctions depending on an independent variable of the ODE system as a continuous parameter. The solution to the problem is performed using the author's software package (the library of programs of the journal Computer Physics Communications) that implement the high-accuracy finite element method. The efficiency of the proposed approach is demonstrated by solving problems from atomic and molecular physics, a helium atom and a diatomic beryllium molecule.

Representing author

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Prof. Vladimir Leonardovich Derbov

Saratov State University, professor
Saratov, Russia

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