Bound states in a Yukawa potential: A Sturmian group-theoretical approach
- 1 September 1979
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 20 (3) , 727-739
- https://doi.org/10.1103/physreva.20.727
Abstract
The Schrödinger eigenvalue problem for a Yukawa potential is reexamined from a group-theoretical perspective. By using the Fock transformation, the Schrödinger operator is transformed into a compact or "inverse Sturmian" operator which is a linear superposition of local representation operators of SL(2,). It may be approximated by finite-rank techniques, which provide a very useful method for obtaining accurate numerical results.
Keywords
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