Proves that the ground state energy of dilute 1D spin-J Fermi gases with repulsive interactions asymptotes to the ground state energy of a corresponding spin chain.
Upper bound for the free energy of dilute Bose gases at low temperature,
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
fields
math-ph 3verdicts
UNVERDICTED 3representative citing papers
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.
Simplified localization via Poincaré-type inequalities provides a new derivation of Bose-Einstein condensation for dilute Bose gases beyond the Gross-Pitaevskii scaling regime.
citing papers explorer
-
Ground State Energy of Dilute Fermi Gases in 1D
Proves that the ground state energy of dilute 1D spin-J Fermi gases with repulsive interactions asymptotes to the ground state energy of a corresponding spin chain.
-
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.
-
Kinetic localization via Poincar\'e-type inequalities and applications to the condensation of Bose gases
Simplified localization via Poincaré-type inequalities provides a new derivation of Bose-Einstein condensation for dilute Bose gases beyond the Gross-Pitaevskii scaling regime.