Abstract

An integral transform or generator coordinate method is developed for the variational solution of the quantum mechanical three-body problem with exponentially screened (e.g., Yukawa or Haken) potentials. The method is applied to the specific example of calculation of the binding energy of the ionized donor-Wannier exciton complex in CdS. Convergence properties are tested and compared with results by other methods. The inherent error of Elkomoss' approach involving self-consistent averaging of the exponential factors is estimated. Some prospects for future application of the present method are pointed out.

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