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On the summation of the Brillouin-Wigner type perturbation series
Authors:K V Sane  R P Saxena  P K Srivastava
Institution:(1) Department of Chemistry, University of Delhi, 110 007 Delhi;(2) Department of Physics, University of Delhi, 110 007 Delhi
Abstract:It is shown that if the ‘mean excitation energy’ assumption is introduced in the Brillouin-Wigner perturbation series, then the resulting series can be exactly summed. The implications of the result for calculating energy shift and for constructing trial functions are examined with special reference to the ground state of the helium atom.
Keywords:Brillouin-Wigner series  mean excitation energy approximation  correlated trial function  helium atom
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