Interacting fermions and bosons with definite total momentum
Abstract
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.
- Publication:
-
Physical Review B
- Pub Date:
- March 2005
- DOI:
- 10.1103/PhysRevB.71.125113
- arXiv:
- arXiv:quant-ph/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
- E-Print:
- Phys. Rev. B 71, 125113 (2005)