Removes radiality and compact support assumptions on the interaction potential while proving BEC and Bogoliubov spectrum convergence for the 3D torus Bose gas in the Gross-Pitaevskii regime.
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An explicit upper bound to the free energy density of the dilute 2D Bose gas below the BKT transition is obtained via Bogoliubov theory with quasiparticles obeying dispersion sqrt(p^4 + 8 pi rho delta p^2) where delta involves double logarithms of rho a^2.
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On the spherical symmetry and finite-range assumptions of the interaction potential in the low energy study of dilute Bose gases
Removes radiality and compact support assumptions on the interaction potential while proving BEC and Bogoliubov spectrum convergence for the 3D torus Bose gas in the Gross-Pitaevskii regime.
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A second order upper bound to the free energy of the two dimensional Bose gas
An explicit upper bound to the free energy density of the dilute 2D Bose gas below the BKT transition is obtained via Bogoliubov theory with quasiparticles obeying dispersion sqrt(p^4 + 8 pi rho delta p^2) where delta involves double logarithms of rho a^2.