Abstract
The effect of fluctuations in particle number for ensemble mean values calculated on the basis of BCS wave functions is investigated, in particular with reference to so-called “blocked” wave functions. Two simple models, the “degenerate” model and the “homogeneous” model, are studied in some detail. It is found that calculated energy changes ascribed to blocking are often largely spurious and due to a decrease in the width of the particle number distribution over the nuclear ensemble for the blocked broken-pair states relative to the ground state. A method to correct for the effect mentioned is suggested.
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