An investigation of the reliability of the Galerkin-Petrov method |
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Authors: | Karol Jankowski Danuta Rutkowska Andrzej Rutkowski |
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Institution: | (1) Institute of Physics, Nicholas Copernicus University, Toruń, Poland;(2) Division of Physics, Higher Pedagogical School, Olsztyn, Poland |
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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. |
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Keywords: | Bivariational procedures Method of moments reliability of ∼ |
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