In the mean-field BEC regime of the imperfect Bose gas, zero-mode covariance defines a mean-field BEC ideal in the resolvent algebra, with occupation-number and Brownian-loop formulations recovering consistent density, excess, and ODLRO data while separating finite-density BEC from Buchholz's strict
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Mean-Field Bose--Einstein Condensation and Condensate Ideals in the Resolvent Algebra
In the mean-field BEC regime of the imperfect Bose gas, zero-mode covariance defines a mean-field BEC ideal in the resolvent algebra, with occupation-number and Brownian-loop formulations recovering consistent density, excess, and ODLRO data while separating finite-density BEC from Buchholz's strict