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Peer-reviewedCC BYCommunications in mathematical physics

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas.

  • Morris Brooks1
  • Jakob Oldenburg1
  • Diane Saint Aubin1
  • Benjamin Schlein1
  1. 1Institute for Mathematics, University of Zurich, Winterthurerstrasse 190, 8057 Zurich, Switzerland.
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Abstract

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.

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Cite

BibTeXRIS
BibTeX
@article{brooks2026third,
  title = {{Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas.}},
  author = {Morris Brooks and Jakob Oldenburg and Diane Saint Aubin and Benjamin Schlein},
  journal = {Communications in mathematical physics},
  year = {2026},
  month = jul,
  doi = {10.1007/s00220-026-05656-8},
  url = {https://europepmc.org/article/MED/42952909},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas.
AU  - Morris Brooks
AU  - Jakob Oldenburg
AU  - Diane Saint Aubin
AU  - Benjamin Schlein
PY  - 2026
DA  - 2026/07/09
JO  - Communications in mathematical physics
DO  - 10.1007/s00220-026-05656-8
UR  - https://europepmc.org/article/MED/42952909
AB  - 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.
SN  - 0010-3616
SN  - 1432-0916
ER  -