Abstract
Spectra of the two-dimensional H-like screened atoms are investigated in the framework of nonrelativistic and relativistic models. The Schrödinger and the Dirac equation for the 2D Debye–Yukawa potential are solved analytically up to the first-order in the perturbation theory with the Debye screening as the perturbation. We also present the nonperturbative solution to the Schrödinger equation obtained by the expansion of the wavefunction in a basis of Sturmian functions. The nonrelativistic solutions are used as the zero-order approximation in the direct perturbation approach to the Dirac equation.
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