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Alternative wavefunction ansatz for including explicit electron-proton correlation in the nuclear-electronic orbital

Chaehyuk Ko1, Michael V Pak, Chet Swalina

  • 1Department of Chemistry, Pennsylvania State University, University Park, Pennsylvania 16802, USA.

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|August 10, 2011
PubMed
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A new nuclear-electronic orbital (NEO) method, NEO-XCHF2, simplifies calculations by modifying the wavefunction ansatz. This approach reduces complex integrals, offering a more efficient way to study quantum mechanical systems.

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Area of Science:

  • Quantum Chemistry
  • Computational Physics
  • Theoretical Chemistry

Background:

  • The nuclear-electronic orbital (NEO) approach treats nuclei and electrons quantum mechanically.
  • The explicitly correlated Hartree-Fock (NEO-XCHF) method incorporates electron-nucleus dynamical correlation.
  • The original NEO-XCHF approach involves complex five- and six-particle integrals.

Purpose of the Study:

  • To develop a new wavefunction ansatz (NEO-XCHF2) for the NEO approach.
  • To simplify the computation of integrals involving geminal functions.
  • To avoid the calculation of computationally expensive five- and six-particle integrals.

Main Methods:

  • Proposed a new wavefunction ansatz, NEO-XCHF2, multiplying the Hartree-Fock wavefunction by √(1+Ĝ).
  • Devised a truncated expansion scheme to approximate problematic kinetic energy terms introduced by NEO-XCHF2.
  • Implemented a hybrid approach combining NEO-XCHF and NEO-XCHF2 for kinetic and potential energy calculations.

Main Results:

  • The NEO-XCHF2 ansatz eliminates integrals quadratic in geminal functions.
  • A truncated expansion scheme effectively approximates challenging kinetic energy terms.
  • Applications to small model systems validate the NEO-XCHF2 approach and kinetic energy treatments.

Conclusions:

  • The NEO-XCHF2 approach offers a computationally simpler alternative for explicitly correlated Hartree-Fock calculations.
  • The devised approximation schemes for kinetic energy terms are effective.
  • This work advances the efficiency and applicability of the nuclear-electronic orbital method.