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Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas
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Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas
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We consider a dilute Bose gas in the thermodynamic limit. We prove an upper bound for the ground state energy per unit volume, capturing the expected third order term, as predicted by Wu, Hugenholtz-Pines and Sawada.
Forward citations
Cited by 3 Pith papers
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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.
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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 Note on the Construction of Trial States for the Dilute Bose Gas
A review and simplified derivation of the Lee-Huang-Yang correction as an upper bound on the ground-state energy of the dilute Bose gas via local particle-number cutoff trial states.
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