---
_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'
...