On the energy-momentum spectrum of a homogeneous Fermi gas

Details On the energy-momentum spectrum of a homogeneous Fermi gas On the energy-momentum spectrum of a homogeneous Fermi gas

2011-11-03

arxiv.org/abs/1111.0787v2

Physics

Mathematical Physics

Revised and extended version. 31 pages, 10 figures. To appear in Ann. Henri Poincar\'e

Scientific paper

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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