On interacting fermions and bosons with definite total momentum
Quantum Physics
2009-11-10 v1 Other Condensed Matter
Abstract
Any {\it exact} eigenstate with a definite momentum of a many-body Hamiltonian can be written as an integral over a {\it symmetry-broken} function . For two particles, we solve the problem {\it exactly} for all energy levels and any inter-particle interaction. Especially for the ground-state, is given by the simple Hartree-Fock/Hartree ansatz for fermions/bosons. Implications for several and many particles as well as a numerical example are provided.
Cite
@article{arxiv.quant-ph/0406095,
title = {On interacting fermions and bosons with definite total momentum},
author = {Ofir E. Alon and Alexej I. Streltsov and Lorenz S. Cederbaum},
journal= {arXiv preprint arXiv:quant-ph/0406095},
year = {2009}
}