Accurate first principles calculation of many-body interactions

Gregory J. Tawa, Jules W. Moskowitz, Paula A. Whitlock, Kevin Schmidt

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

The electronic structure Schrödinger equation is solved for the van der Waals complexes spin-polarized H2 and H3, and the closed-shell systems He2 and He3 by Monte Carlo methods. Two types of calculations are performed, variational Monte Carlo, which gives an upper bound to the eigenvalue of the Schrödinger equation, and Green's function Monte Carlo, which can solve the Schrödinger equation exactly within statistical sampling errors. The simulations are carried out on an ETA-10 supercom puter, and already existing computer codes were exten sively modified to ensure highly efficient coding. A major component of the computations was the develop ment of highly optimized many-electron wave functions. The results from the variational Monte Carlo simulations are reported for both the two- and three-body interac tion energies.

Original languageEnglish (US)
Pages (from-to)57-71
Number of pages15
JournalInternational Journal of High Performance Computing Applications
Volume5
Issue number1
DOIs
StatePublished - 1991

Fingerprint

First-principles Calculation
Wave functions
Interaction
Green's function
Electronic structure
Monte Carlo methods
Van Der Waals
Electronic Structure
Sampling
Wave Function
Monte Carlo method
Electrons
Shell
Monte Carlo Simulation
Coding
Electron
Upper bound
Eigenvalue
Closed
Energy

ASJC Scopus subject areas

  • Software
  • Hardware and Architecture
  • Theoretical Computer Science

Cite this

Accurate first principles calculation of many-body interactions. / Tawa, Gregory J.; Moskowitz, Jules W.; Whitlock, Paula A.; Schmidt, Kevin.

In: International Journal of High Performance Computing Applications, Vol. 5, No. 1, 1991, p. 57-71.

Research output: Contribution to journalArticle

Tawa, Gregory J. ; Moskowitz, Jules W. ; Whitlock, Paula A. ; Schmidt, Kevin. / Accurate first principles calculation of many-body interactions. In: International Journal of High Performance Computing Applications. 1991 ; Vol. 5, No. 1. pp. 57-71.
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