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An integral transform method for solving a quantum mechanical three‐body problem with exponential‐type potentials
Author(s) -
Petelenz Piotr,
Smith Vedene H.
Publication year - 2009
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560180811
Subject(s) - yukawa potential , quantum , exponential function , convergence (economics) , exponential type , type (biology) , mathematics , exponential growth , physics , mathematical analysis , quantum mechanics , economics , economic growth , ecology , biology
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.