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The electronic spectra of light one-electron quasi-molecular compoundsH-H$^+$, He$^+$-He$^2+$ and He$^+$-H$^+$ are analyzed. To this end, thetwo-center Dirac equation is solved by the dual-kinetically balancedfinite-basis-set method for axially symmetric systems termed as A-DKB. Thismethod allows a complete relativistic consideration of these systems at fixedinternuclear distances. A comparison of the obtained results with thenonrelativistic and relativistic calculations presented in the literature isperformed. The advantages and disadvantages of the approach are discussed indetails.

Light one-electron quasi-molecular ions within the finite-basis-set method for the two-center Dirac equation