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Energy Cost to Make a Hole in the Fermi Sea

Frank, Rupert L. and Lewin, Mathieu and Lieb, Elliott H. and Seiringer, Robert (2011) Energy Cost to Make a Hole in the Fermi Sea. Physical Review Letters, 106 (15). Art. No. 150402. ISSN 0031-9007.

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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.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Frank, Rupert L.0000-0001-7973-4688
Lieb, Elliott H.0000-0001-5843-3587
Additional Information:© 2011 American Physical Society. Received 7 February 2011. Grants from the U.S. NSF PHY-0965859 (E. L. and R. F.), PHY-0845292 (R. S.) and from the ERC MNIQS-258023 (M. L.) are acknowledged.
Funding AgencyGrant Number
European Research Council (ERC)MNIQS-258023
Issue or Number:15
Record Number:CaltechAUTHORS:20170501-093433748
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Official Citation:Energy Cost to Make a Hole in the Fermi Sea Rupert L. Frank, Mathieu Lewin, Elliott H. Lieb, and Robert Seiringer Phys. Rev. Lett. 106, 150402 (2011) - Published 12 April 2011
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:77098
Deposited By: Ruth Sustaita
Deposited On:01 May 2017 16:53
Last Modified:09 Mar 2020 13:19

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