Annales Henri Poincaré

, Volume 14, Issue 1, pp 1–36

On the Energy-Momentum Spectrum of a Homogeneous Fermi Gas

Authors

    • Department of Mathematical Methods in Physics, Faculty of PhysicsUniversity of Warsaw
  • Krzysztof A. Meissner
    • Institute of Theoretical Physics, Faculty of PhysicsUniversity of Warsaw
  • Marcin Napiórkowski
    • Department of Mathematical Methods in Physics, Faculty of PhysicsUniversity of Warsaw
Open AccessArticle

DOI: 10.1007/s00023-012-0185-9

Cite this article as:
Dereziński, J., Meissner, K.A. & Napiórkowski, M. Ann. Henri Poincaré (2013) 14: 1. doi:10.1007/s00023-012-0185-9

Abstract

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.

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© The Author(s) 2012