2 problems
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Conjecture on qualitative features of the interacting Fermi-gas excitation spectrum
Consider a homogeneous interacting Fermi gas in the thermodynamic limit, treated using the Hartree–Fock–Bogoliubov approximation. Let the resulting quasiparticle representation hav…
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Dereziński–Cornean–Zinoviev conjecture on the excitation spectrum of the interacting Bose gas
The interacting Bose gas is considered in the thermodynamic limit at zero temperature with a repulsive potential. Its excitation spectrum is the energy spectrum above the ground st…