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It can be shown that the bosonic degree of freedom of the tightly boundon-site electron pairs could be separated as Schwinger bosons. This isimplemented by projecting the whole Hilbert space into the Hilbert subspacespanned by states of two kinds of Schwinger bosons (to be called binon andvacanon) subject to a constraint that these two kinds of bosonic quasiparticlescannot occupy the same site. We argue that a binon is actually a kind ofquantum fluctuations of electron pairs, and a vacanon corresponds to a vacantstate. These two bosonic quasiparticles may be responsible for theBose-Einstein condensation (BEC) of the system associated with electron pairs.These concepts are also applied to the attractive Hubbard model with strongcoupling, showing that it is quite useful. The relevance of the presentarguments to the existing theories associated with the BEC of electron pairs isbriefly commented.Comment: Revtex, one figur

TOWARDS BOSE–EINSTEIN CONDENSATION OF ELECTRON PAIRS: ROLE OF SCHWINGER BOSONS