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.
|Journal||Physical Review B - Condensed Matter and Materials Physics|
|State||Published - 15 Mar 2005|
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics