近年来，对不同环境下的类氢原子的研究越来越受关注，其在原子分子物理学、

In recent years, the research on hydrogen-like atoms in different environments has attracted more and more attention. It plays a very important role in the fields of atomic and molecular physics, plasma physics, and condensed matter physics. Shielding in plasma Effect is the object of physicists' key research. Our work takes the energy levels of hydrogen atoms and hydrogen-like ions under two shielded Coulomb potentials (the Coulomb shield potential and the exponential cosine shield Coulomb potential respectively) as the research object, and the method used is the general pseudospectral method (GPS). The general pseudospectral method is a configuration point method based on a global function. Its basic idea is to discrete coordinates and convert the integral into a sum for calculation. It can solve the radial Schrödinger equation with high accuracy and has been successfully applied to the study of atoms. and structural properties of molecular systems. So this time we use the general pseudospectral method to solve the Schrödinger equation and the Dirac equation, and give a reasonable and reasonable state corresponding to the hydrogen-like atom (Z=1~20) in the Coulomb shielding potential and the exponential cosine shielding Coulomb potential environment. accurate data. As the environment changes from classical weakly coupled plasmas to dense quantum plasmas, the binding energies and critical screening parameters of different hydrogen-like ions change.

In recent years, more and more attention has been paid to the research of hydrogen-like atom in different environments, which plays a very important role in atomic molecular physics, plasma physics, condensed matter physics and other fields, and the shielding effect in plasma is the focus of physicists. Our work focuses on the energy levels of hydrogen atoms and hydrogen like ions under two types of shielded Coulomb potentials, namely Coulomb shielding potential and exponential cosine shielding Coulomb potential, using the General Pseudospectral Method (GPS). The general pseudospectral method is a configuration point method based on global functions. Its basic idea is to discretize coordinates and convert integration into summation for calculation. It can highly accurately solve the radial Schr ö dinger equation and has been successfully applied to study the structural characteristics of atomic and molecular systems. So this time we use the general pseudo spectral method to solve the Schrodinger equation and Dirac equation, and give reasonable and accurate data of the corresponding state of hydrogen-like atom (Z=1-20) under the coulomb shielding potential and the exponential cosine shielding coulomb potential environment. With the change of environment from classical weakly coupled plasma to dense quantum plasma, the binding energy and critical shielding parameters of different hydrogen like ions have changed.

In recent years, more and more attention has been paid to the study of hydrogen-like atoms in different environments, which plays a very important role in atomic and molecular physics, plasma physics, condensed matter physics and other fields, and the shielding effect in plasma is the key research object of physicists. In this work, the energy levels of hydrogen atoms and hydrogen-like ions under two kinds of shielded Coulomb potentials (Coulomb shielding potential and exponential cosine shielding Coulomb potential) are studied, and the general pseudo-spectral method (GPS) is used. The general pseudo-spectral method is a collocation point method based on global function. Its basic idea is discrete coordinates, and it can solve the radial Schrodinger equation with high accuracy by integrating and calculating. It has been successfully applied to study the structural characteristics of atomic and molecular systems. So this time, we use the general pseudo-spectral method to solve the Schrodinger equation and Dirac equation, and give the reasonable and accurate data of the corresponding state of hydrogen-like atoms (Z=1~20) in the Coulomb shielding potential and exponential cosine shielding Coulomb potential environment. With the change of environment from classical weakly coupled plasma to dense quantum plasma, the binding energy and critical shielding parameters of different hydrogen-like ions have changed.