--- _id: '2391' abstract: - lang: eng text: 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. author: - first_name: Rupert full_name: Frank, Rupert L last_name: Frank - first_name: Mathieu full_name: Lewin, Mathieu last_name: Lewin - first_name: Élliott full_name: Lieb, Élliott H last_name: Lieb - first_name: Robert full_name: Robert Seiringer id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: Frank R, Lewin M, Lieb É, Seiringer R. Energy cost to make a hole in the fermi sea. Physical Review Letters. 2011;106(15). doi:10.1103/PhysRevLett.106.150402 apa: Frank, R., Lewin, M., Lieb, É., & Seiringer, R. (2011). Energy cost to make a hole in the fermi sea. Physical Review Letters. American Physical Society. https://doi.org/10.1103/PhysRevLett.106.150402 chicago: Frank, Rupert, Mathieu Lewin, Élliott Lieb, and Robert Seiringer. “Energy Cost to Make a Hole in the Fermi Sea.” Physical Review Letters. American Physical Society, 2011. https://doi.org/10.1103/PhysRevLett.106.150402. ieee: R. Frank, M. Lewin, É. Lieb, and R. Seiringer, “Energy cost to make a hole in the fermi sea,” Physical Review Letters, vol. 106, no. 15. American Physical Society, 2011. ista: Frank R, Lewin M, Lieb É, Seiringer R. 2011. Energy cost to make a hole in the fermi sea. Physical Review Letters. 106(15). mla: Frank, Rupert, et al. “Energy Cost to Make a Hole in the Fermi Sea.” Physical Review Letters, vol. 106, no. 15, American Physical Society, 2011, doi:10.1103/PhysRevLett.106.150402. short: R. Frank, M. Lewin, É. Lieb, R. Seiringer, Physical Review Letters 106 (2011). date_created: 2018-12-11T11:57:24Z date_published: 2011-01-01T00:00:00Z date_updated: 2021-01-12T06:57:12Z day: '01' doi: 10.1103/PhysRevLett.106.150402 extern: 1 intvolume: ' 106' issue: '15' main_file_link: - open_access: '1' url: http://arxiv.org/abs/1102.1414 month: '01' oa: 1 publication: Physical Review Letters publication_status: published publisher: American Physical Society publist_id: '4535' quality_controlled: 0 status: public title: Energy cost to make a hole in the fermi sea type: journal_article volume: 106 year: '2011' ...