Energy Cost to Make a Hole in the Fermi Sea

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

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Energy Cost to Make a Hole in the Fermi Sea

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arxiv 1102.1414 v2 pith:UGX6FOWF submitted 2011-02-07 cond-mat.str-el math-phmath.MPmath.SP

Energy Cost to Make a Hole in the Fermi Sea

Rupert L. Frank , Mathieu Lewin , Elliott H. Lieb , Robert Seiringer This is my paper

classification cond-mat.str-el math-phmath.MPmath.SP

keywords energyfermiwhenapproximationbelowboundedchangechanged

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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.

Energy Cost to Make a Hole in the Fermi Sea

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