Interacting fermions and bosons with definite total momentum

Ofir E. Alon; Alexej I. Streltsov; Lorenz S. Cederbaum

doi:10.1103/PhysRevB.71.125113

Interacting fermions and bosons with definite total momentum

Ofir E. Alon, Alexej I. Streltsov, Lorenz S. Cederbaum

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	125113
Journal	Physical Review B - Condensed Matter and Materials Physics
Volume	71
Issue number	12
DOIs	https://doi.org/10.1103/PhysRevB.71.125113
State	Published - 15 Mar 2005
Externally published	Yes

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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10.1103/PhysRevB.71.125113

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Interacting fermions and bosons with definite total momentum

Abstract

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