Contraction theorem for the algebraic reduction of (anti)commutators involving operator strings

Frank E. Harris, Bogumił Jeziorski, and Hendrik J. Monkhorst
Phys. Rev. A 23, 1632 – Published 1 April 1981
PDFExport Citation

Abstract

A proof by induction is given of the so-called contraction theorem for the evaluation of (anti)commutators of strings of Fermion creation and annihilation operators. This theorem bears some formal similarity to Wick's theorem but is essentially simpler and its applications do not lead to any disconnected diagrams. Examples of applications to configuration-interaction and coupled-cluster methods are presented.

  • Received 4 August 1980

DOI:https://doi.org/10.1103/PhysRevA.23.1632

©1981 American Physical Society

Authors & Affiliations

Frank E. Harris and Bogumił Jeziorski*

  • Department of Physics, University of Utah, Salt Lake City, Utah 84112

Hendrik J. Monkhorst

  • Department of Physics, Quantum Theory Project, University of Florida, Gainesville, Florida 32611

  • *Permanent address: Quantum Chemistry Laboratory, University of Warsaw, Pasteura 1, 02-093 Warsaw, Poland.

References (Subscription Required)

Click to Expand
Issue

Vol. 23, Iss. 4 — April 1981

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review A

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×