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Issue 43, 2018
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Inverse mean field theories

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Abstract

In this work we discuss the extraction of mean field single particle Hamiltonians from a many body wave function of a fermionic system. While we primarily discuss lattice models we also look at neon in an augccpvdz basis set as an example. Our approach allows us to discuss the result of a many particle wave function in terms of a non-interacting description. In contrast to density functional theory approaches on the lattice this approach allows the extraction of appropriate kinetic terms. In result the extracted mean field theories are closer to the physics of the problem under investigation. Therefore, the extracted mean field Hamiltonians may provide an improved starting point for perturbative approaches. In addition, the technique can be used to decide whether a density matrix renormalization group calculation for interacting fermions has converged to the true ground state.

Graphical abstract: Inverse mean field theories

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Publication details

The article was received on 13 Jun 2018, accepted on 19 Oct 2018 and first published on 19 Oct 2018


Article type: Paper
DOI: 10.1039/C8CP03763A
Citation: Phys. Chem. Chem. Phys., 2018,20, 27600-27610
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    Inverse mean field theories

    P. Schmitteckert, Phys. Chem. Chem. Phys., 2018, 20, 27600
    DOI: 10.1039/C8CP03763A

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