On 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 . For two particles, we solve the problem 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.
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