dorsal/arxiv
View SchemaOn interacting fermions and bosons with definite total momentum
| Authors | Ofir E. Alon, Alexej I. Streltsov, Lorenz S. Cederbaum |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0406095 |
| URL | https://arxiv.org/abs/quant-ph/0406095 |
| DOI | 10.1103/PhysRevB.71.125113 |
| Journal | Phys. Rev. B 71, 125113 (2005) |
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 $\Phi$. 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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"abstract": "Any {\\it exact} eigenstate with a definite momentum of a many-body\nHamiltonian can be written as an integral over a {\\it symmetry-broken} function\n$\\Phi$. For two particles, we solve the problem {\\it exactly} for all energy\nlevels and any inter-particle interaction. Especially for the ground-state,\n$\\Phi$ is given by the simple Hartree-Fock/Hartree ansatz for fermions/bosons.\nImplications for several and many particles as well as a numerical example are\nprovided.",
"arxiv_id": "quant-ph/0406095",
"authors": [
"Ofir E. Alon",
"Alexej I. Streltsov",
"Lorenz S. Cederbaum"
],
"categories": [
"quant-ph",
"cond-mat.other"
],
"doi": "10.1103/PhysRevB.71.125113",
"journal_ref": "Phys. Rev. B 71, 125113 (2005)",
"title": "On interacting fermions and bosons with definite total momentum",
"url": "https://arxiv.org/abs/quant-ph/0406095"
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