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The complex stabilization method: Application to atomic resonances
Author(s) -
Junker B. R.
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.560180808
Subject(s) - eigenvalues and eigenvectors , basis (linear algebra) , hamiltonian (control theory) , position (finance) , basis function , integrable system , resonance (particle physics) , mathematics , mathematical analysis , physics , quantum mechanics , geometry , mathematical optimization , finance , economics
Abstract The complex stabilization method is used to compute the position and width of the (1s 2s 2 ) 2 S He − resonance using a number of different basis sets. All of the results converge to the same eigenvalue we obtained earlier in a so‐called complex coordinate calculation. This calculation uses the unrotated real Hamiltonian with a square‐integrable basis without explicitly imposing any boundary condition. Calculations are reported in which the bases contained one and two complex basis functions. It is shown that the resonant eigenvalue is easily distinguished from all other eigenvalues.