Abstract
An alternative description of the equilibrium system of interacting bosons in the presence of a Bose-Einstein condensate, based on the initial consideration of the system in a very large but finite volume, is presented. Using exact sum rules for the spectral function, the existence of a discontinuity in the energy spectrum of quasiparticles at small momenta, associated with the presence of condensate and the Coulomb interaction, is shown. The possible existence of the Meissner effect in superfluid helium as a Coulomb system with Bose-Einstein condensate for nuclei is shown.
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