Interacting fermions and bosons with definite total momentum
Abstract
Any exact eigenstate with a definite momentum of a manybody Hamiltonian can be written as an integral over a symmetrybroken function Φ . For two particles, we exactly express Φ in terms of (singleparticle) orbitals for all energy levels and any interparticle interaction. Especially for the ground state, Φ is given by the simple HartreeFock 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.
 Publication:

Physical Review B
 Pub Date:
 March 2005
 DOI:
 10.1103/PhysRevB.71.125113
 arXiv:
 arXiv:quantph/0406095
 Bibcode:
 2005PhRvB..71l5113A
 Keywords:

 03.65.w;
 03.75.Hh;
 05.30.Fk;
 Quantum mechanics;
 Static properties of condensates;
 thermodynamical statistical and structural properties;
 Fermion systems and electron gas;
 Quantum Physics;
 Condensed Matter  Other
 EPrint:
 Phys. Rev. B 71, 125113 (2005)