Energy cost to make a hole in the fermi sea

Rupert L. Frank, Mathieu Lewin, Elliott H. Lieb, Robert Seiringer

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


The change in energy of an ideal Fermi gas when a local one-body potential is inserted into the system, or when the density is changed locally, are important quantities in condensed matter physics. We show that they can be rigorously bounded from below by a universal constant times the value given by the semiclassical approximation.

Original languageEnglish (US)
Article number150402
JournalPhysical review letters
Issue number15
StatePublished - Apr 12 2011

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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