The off-diagonal long-range behavior of interacting Bose systems is studied in one, two, and three dimensions and also for the interdimensional case. The one-dimensional result is new while the two- and three- dimensional results present a rederivation of known results. A qualitative analysis of the interdimensional case is presented showing the way by which the behavior of the single-particle reduced density matrix is changed when going from ν-1 dimensions to ν dimensions.
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Moshe Schwartz (1977) studied this question.
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