Pith. sign in

REVIEW 1 cited by

Bogoliubov theory for the dilute Fermi gas in three dimensions

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2207.13618 v1 pith:7XALXSTU submitted 2022-07-27 math-ph math.MP

Bogoliubov theory for the dilute Fermi gas in three dimensions

classification math-ph math.MP
keywords energybogoliubovdilutedimensionsfermistatesystemtheory
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
0 comments
read the original abstract

In a dilute system of N fermions with spin 1/2 in three dimensions, we study the correlation energy which is given by the difference between the ground state energy and the energy of the non-interacting Fermi sea state. We review some recent results from the paper by Falconi et al. [Ann. Henri Poincar\'e 22 (2021), 2283-2353], where we make use of the almost-bosonic nature of the low-energy excitations of the system which can be effectively described by Bogoliubov theory.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Momentum Distribution of a Fermi Gas with Coulomb Interaction in the Random Phase Approximation

    math-ph 2025-11 accept novelty 6.0

    A rigorous proof shows the momentum distribution of a Fermi-gas trial state is the Fermi step plus the RPA correction, with k_F^{-2+ε} errors for summable interactions.