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Related Experiment Video

Updated: Feb 3, 2026

Detection of Retrotransposition Activity of Hot LINE-1s by Long-Distance Inverse PCR

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Inverse mean field theories.

Peter Schmitteckert¹

¹Institute for Theoretical Physics and Astrophysics, Julius-Maximilian University of Würzburg, Am Hubland, 97074 Würzburg, Germany.

Physical Chemistry Chemical Physics : PCCP

|October 30, 2018

Summary

This summary is machine-generated.

Researchers extract mean field single particle Hamiltonians from complex fermionic wave functions. This method offers a more accurate non-interacting description, improving perturbative approaches and verifying convergence in many-body calculations.

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Area of Science:

Quantum Many-Body Physics
Computational Chemistry
Condensed Matter Theory

Background:

Extracting single-particle descriptions from many-body wave functions is crucial for understanding complex fermionic systems.
Existing methods like density functional theory (DFT) on lattices struggle to accurately capture kinetic energy terms.
A robust method is needed to bridge the gap between interacting and non-interacting descriptions.

Purpose of the Study:

To develop a method for extracting mean field single particle Hamiltonians from many-body wave functions.
To demonstrate the applicability of this method to both lattice models and atomic systems (e.g., Neon).
To provide an improved starting point for perturbative methods and a convergence check for numerical calculations.

Main Methods:

Derivation of mean field single particle Hamiltonians directly from the many-body wave function.
Application to lattice models of interacting fermions.
Testing the approach using Neon atom in an augmented correlation-consistent polarized valence double zeta (aug-cc-pvdz) basis set.

Main Results:

The extracted mean field Hamiltonians provide a non-interacting description that accurately includes kinetic energy terms.
These Hamiltonians are found to be physically closer to the investigated problem compared to traditional lattice DFT.
The technique successfully validates convergence of density matrix renormalization group (DMRG) calculations for interacting fermions.

Conclusions:

The developed method offers a more accurate extraction of mean field Hamiltonians from fermionic wave functions.
These improved Hamiltonians can serve as better initial guesses for perturbative calculations.
The technique provides a reliable tool for assessing the convergence of many-body quantum calculations.