Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Backflow correlations for the electron gas and metallic hydrogen.

M Holzmann1, D M Ceperley, C Pierleoni

  • 1Laboratoire de Physique Théorique des Liquides, UMR 7600 du CNRS, Université Pierre et Marie Curie, Boîte 121, 4 Place Jussieu, F-75252 Paris, France.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 20, 2003
PubMed
Summary

We developed advanced backflow three-body wave functions for electron-proton systems. These functions improve energy calculations for electron gas and metallic hydrogen, offering advantages over existing methods.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Extended Bose-Hubbard model with dipolar excitons.

Nature·2022
Same author

Smoke-induced germination of succulents (Mesembryanthemaceae) from fire-prone and fire-free habitats in South Africa.

Oecologia·2017
Same author

Selective zircon accumulation in a new benthic foraminifer, Psammophaga zirconia, sp. nov.

Geobiology·2016
Same author

Observation of the Berezinskii-Kosterlitz-Thouless Phase Transition in an Ultracold Fermi Gas.

Physical review letters·2015
Same author

Hartree-Fock ground state phase diagram of jellium.

Physical review letters·2013
Same author

Electrical readout of individual nuclear spin trajectories in a single-molecule magnet spin transistor.

Physical review letters·2013

Area of Science:

  • Quantum mechanics
  • Computational physics
  • Materials science

Background:

  • Accurate wave functions are crucial for understanding quantum systems.
  • Existing methods for electron-proton systems have limitations in accuracy and applicability.

Purpose of the Study:

  • To develop and evaluate backflow three-body wave functions for electron-proton systems.
  • To improve the accuracy of energy calculations in condensed matter systems.
  • To provide a versatile method applicable to both crystalline and liquid states.

Main Methods:

  • Generalized Feynman-Kacs formula
  • Many-body perturbation theory
  • Band structure calculations
  • Variational and diffusion Monte Carlo methods

Related Experiment Videos

Main Results:

  • The backflow three-body wave functions yielded lower energies for the electron gas compared to previous calculations.
  • For bcc hydrogen, these wave functions achieved energies comparable to those obtained using local density approximation orbitals.
  • The backflow approach demonstrated ease of parameter estimation and accurate inclusion of electron-electron correlations.

Conclusions:

  • Backflow three-body wave functions offer a promising approach for accurate quantum system simulations.
  • This method is advantageous for its parameter efficiency and ability to handle electron correlations.
  • The wave functions can be readily extended from crystalline to liquid metallic hydrogen.