The Schr\"odinger eigenvalue problem for a Yukawa potential is reexamined from a group-theoretical perspective. By using the Fock transformation, the Schr\"odinger operator is transformed into a compact or "inverse Sturmian" operator which is a linear superposition of local representation operators of SL(2,R). It may be approximated by finite-rank techniques, which provide a very useful method for obtaining accurate numerical results.
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Gazeau et al. (1979) studied this question.
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