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Ground state energy of a dilute two-dimensional Bose gas from the Bogoliubov free energy functional

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  • Soren Fournais
  • Marcin Napiorkowski, LMU Munich
  • ,
  • Robin Reuvers, University of Cambridge
  • ,
  • Jan Philip Solovej, Department of Mathematical Sciences, University of Copenhagen

We extend the analysis of the Bogoliubov free energy functional to two dimensions at very low temperatures. For sufficiently weak interactions, we prove two term asymptotics for the ground state energy. Published under license by AIP Publishing.

Original languageEnglish
Article number071903
JournalJournal of Mathematical Physics
Volume60
Issue7
Number of pages17
ISSN0022-2488
DOIs
Publication statusPublished - Jul 2019

    Research areas

  • EXISTENCE, DENSITY, SYSTEM

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