Interacting fermions and bosons with definite total momentum

Ofir E. Alon, Alexej I. Streltsov, Lorenz S. Cederbaum

Research output: Contribution to journalArticlepeer-review


Any exact eigenstate with a definite momentum of a many-body Hamiltonian can be written as an integral over a symmetry-broken function Φ. For two particles, we exactly express Φ in terms of (single-particle) orbitals for all energy levels and any interparticle interaction. Especially for the ground state, Φ is given by the simple Hartree-Fock and Hartree Ansätze for fermions and bosons, respectively. Implications for several and many particles as well as a numerical example for interacting bosons are provided.

Original languageEnglish
Article number125113
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number12
StatePublished - 15 Mar 2005
Externally publishedYes

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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