Energy Cost to Make a Hole in the Fermi Sea

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

hal-00577742, version 1

Energy Cost to Make a Hole in the Fermi Sea

Rupert L. Frank ¹, Mathieu Lewin () ², Elliott H. Lieb ^1, 3, Robert Seiringer ⁴

Physical Review Letters 106, 15 (2011) 150402

Abstract: 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.

1: Department of Mathematics
Princeton University
2: Laboratoire d'Analyse, Géométrie et Modélisation (AGM)
CNRS : UMR8088 – Université de Cergy Pontoise
3: Department of Physics
Princeton University
4: Mathematics Department
McGill University

hal-00577742, version 1
http://hal.archives-ouvertes.fr/hal-00577742
oai:hal.archives-ouvertes.fr:hal-00577742
From: Mathieu Lewin <>
Submitted on: Thursday, 17 March 2011 11:45:39
Updated on: Thursday, 5 January 2012 11:04:26

See detailed view

Associated documents

arXiv: 1102.1414

Export

Bibtex EndNote TEI RefWorks

<?xml version="1.0" encoding="UTF-8"?>
<listBibl xmlns="http://www.tei-c.org/ns/1.0" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML">
<listBibl type="article"><head>Articles in peer-reviewed journal</head>
<biblStruct type="article" xml:id="hal-00577742"><analytic>
<author><persName><forename>Rupert L.</forename><surname>Frank</surname></persName>
<affiliation>
<orgName type="team">Department of Mathematics</orgName>
<country>US</country>
<orgName type="institution">Princeton University</orgName>
</affiliation>
</author>
<author><persName><forename>Mathieu</forename><surname>Lewin</surname></persName>
<affiliation>
<orgName type="laboratory">AGM</orgName>
<orgName type="team">Laboratoire d'Analyse, Géométrie et Modélisation</orgName>
<country>FR</country>
<orgName type="institution">CNRS : UMR8088</orgName>
<orgName type="institution">Université de Cergy Pontoise</orgName>
</affiliation>
</author>
<author><persName><forename>Elliott H.</forename><surname>Lieb</surname></persName>
<affiliation>
<orgName type="team">Department of Mathematics</orgName>
<country>US</country>
<orgName type="institution">Princeton University</orgName>
</affiliation>
<affiliation>
<orgName type="team">Department of Physics</orgName>
<country>US</country>
<orgName type="institution">Princeton University</orgName>
</affiliation>
</author>
<author><persName><forename>Robert</forename><surname>Seiringer</surname></persName>
<affiliation>
<orgName type="team">Mathematics Department</orgName>
<country>CA</country>
<orgName type="institution">McGill University</orgName>
</affiliation>
</author>
<title type="main" level="a">Energy Cost to Make a Hole in the Fermi Sea</title></analytic><monogr><title level="j" type="main">Physical Review Letters</title><imprint><biblScope type="publicationDate">2011-00-00</biblScope><biblScope type="vol">106</biblScope><biblScope type="issue">15</biblScope><biblScope type="pp">150402</biblScope></imprint></monogr><idno type="HALid">http://hal.archives-ouvertes.fr/hal-00577742</idno></biblStruct>
</listBibl>
</listBibl>