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An investigation of the reliability of the Galerkin-Petrov method
Authors:Karol Jankowski  Danuta Rutkowska  Andrzej Rutkowski
Institution:(1) Institute of Physics, Nicholas Copernicus University, Toruń, Poland;(2) Division of Physics, Higher Pedagogical School, Olsztyn, Poland
Abstract:It is shown that the Galerkin-Petrov method if applied in a controlled way yields reliable results for excited states of the same symmetry classifications as the ground state. Computations are performed for the 21 S and 31 S states of He. The problem of optimizing nonlinear parameters of the basis functions by means of the GP method is discussed. A special optimization scheme is suggested and numerically illustrated for someS states of He.
Keywords:Bivariational procedures  Method of moments  reliability of ∼  
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