Eigenvalue problem for the relativistic electric-dipole system
D. U. MatrasulovHeat Physics Department, Uzbek Academy of Sciences, 28 Katartal Street, 700135 Tashkent, UzbekistanV. I. MatveevHeat Physics Department, Uzbek Academy of Sciences, 28 Katartal Street, 700135 Tashkent, UzbekistanM.M. MusakhanovTheoretical Physics Department, Tashkent State University, Tashkent 700095, Uzbekistan
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Annotatsiya
The two-center Coulomb problem (with opposite signs of charges) for the Dirac equation is solved by the method of matching the logarithmic derivatives of the asymptotic solutions. The formulas for the near continuum-state energy term of a relativistic electric-dipole system are obtained analytically. Two cases are considered: $Z<137$ and $Z>137.$ The Dirac equation for $Z>137$ is solved by the usual method of a cutoff potential at small distances.
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