Annales Henri Poincaré

, Volume 14, Issue 1, pp 1–36 | Cite as

On the Energy-Momentum Spectrum of a Homogeneous Fermi Gas

  • Jan Dereziński
  • Krzysztof A. Meissner
  • Marcin Napiórkowski
Open Access


We consider translation-invariant quantum systems in thermodynamic limit. We argue that their energy-momentum spectra should have shapes consistent with effective models involving quasiparticles. Our main example is second quantized homogeneous interacting Fermi gas in a large cubic box with periodic boundary conditions, at zero temperature. We expect that its energy-momentum spectrum has a positive energy gap and a positive critical velocity.



The research of J.D. and M.N was supported in part by the National Science Center (NCN) grant No. 2011/01/B/ST1/04929. The work of M.N. was also supported by the Foundation for Polish Science International PhD Projects Programme co-financed by the EU European Regional Development Fund.

Open Access

This article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited.


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Copyright information

© The Author(s) 2012

Authors and Affiliations

  • Jan Dereziński
    • 1
  • Krzysztof A. Meissner
    • 2
  • Marcin Napiórkowski
    • 1
  1. 1.Department of Mathematical Methods in Physics, Faculty of PhysicsUniversity of WarsawWarsawPoland
  2. 2.Institute of Theoretical Physics, Faculty of PhysicsUniversity of WarsawWarsawPoland

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