Upper bounds for errors of expectations in the few-body problem

Sanford Aranoff, Jerome Percus

Research output: Contribution to journalArticle

Abstract

Exact upper bounds are established for the errors associated with approximate computations of total, kinetic, and potential energies of a few-body system. As a consequence, error bounds are also established for arbitrary coordinate functions. Reduction methods are developed to treat expectations of coordinate functions which are divergent at some spatial point, e.g., the delta function or the inverse square, or at infinity, e.g., the mean-square radius. Positronium is used as a test case to study the relative accuracy of the estimates.

Original languageEnglish (US)
Pages (from-to)878-883
Number of pages6
JournalPhysical Review
Volume162
Issue number4
DOIs
StatePublished - 1967

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delta function
positronium
infinity
kinetic energy
potential energy
radii
estimates
energy

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Upper bounds for errors of expectations in the few-body problem. / Aranoff, Sanford; Percus, Jerome.

In: Physical Review, Vol. 162, No. 4, 1967, p. 878-883.

Research output: Contribution to journalArticle

Aranoff, Sanford ; Percus, Jerome. / Upper bounds for errors of expectations in the few-body problem. In: Physical Review. 1967 ; Vol. 162, No. 4. pp. 878-883.
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