An examination of the accuracy of truncated perturbation theory using bounds for the exact energy

B. L. Burrows; M. Cohen; Tova Feldmann

doi:10.1088/0305-4470/20/4/023

An examination of the accuracy of truncated perturbation theory using bounds for the exact energy

B. L. Burrows
, M. Cohen
, Tova Feldmann

Institute of Chemistry

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

A procedure is developed for assessing the accuracy of a truncated perturbation expansion, which leads to upper and lower bounds to some eigenvalue. Improved bounds, which require a lower bound to the overlap of the approximate and exact wavefunctions, are also considered and a lower bound to the overlap is derived. Two examples are presented, using model problems.

Original language	English
Pages (from-to)	889-897
Number of pages	9
Journal	Journal of Physics A: Mathematical and General
Volume	20
Issue number	4
DOIs	https://doi.org/10.1088/0305-4470/20/4/023
State	Published - 11 Mar 1987

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abstract = "A procedure is developed for assessing the accuracy of a truncated perturbation expansion, which leads to upper and lower bounds to some eigenvalue. Improved bounds, which require a lower bound to the overlap of the approximate and exact wavefunctions, are also considered and a lower bound to the overlap is derived. Two examples are presented, using model problems.",

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AB - A procedure is developed for assessing the accuracy of a truncated perturbation expansion, which leads to upper and lower bounds to some eigenvalue. Improved bounds, which require a lower bound to the overlap of the approximate and exact wavefunctions, are also considered and a lower bound to the overlap is derived. Two examples are presented, using model problems.

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An examination of the accuracy of truncated perturbation theory using bounds for the exact energy

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