On interacting fermions and bosons with definite total momentum

Details On interacting fermions and bosons with definite total momentum On interacting fermions and bosons with definite total momentum

2004-06-14

arxiv.org/abs/quant-ph/0406095v1

Phys. Rev. B 71, 125113 (2005)

Physics

Quantum Physics

Scientific paper

10.1103/PhysRevB.71.125113

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 $\Phi$. For two particles, we solve the problem {\it exactly} for all energy levels and any inter-particle interaction. Especially for the ground-state, $\Phi$ 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.

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