Feynman's operational calculi: Methods for iterative disentangling

B. Jefferies, G. W. Johnson, B. S. Kim

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

The disentangling map from the commutative disentangling algebra to the noncommutative algebra of operators is the central feature of Feynman's time-ordered operational calculi for noncommuting operators. Therefore, formulas which simplify the disentangling process are important to the subject. The results of this paper permit us under appropriate assumptions to reduce the disentangling process to an iterated sequence of simpler disentanglings. Earlier results can be combined with the main results here to yield further corollaries and examples some of which will be given in this paper.

Original languageEnglish
Pages (from-to)293-309
Number of pages17
JournalActa Applicandae Mathematicae
Volume92
Issue number3
DOIs
StatePublished - Jul 2006

Keywords

  • Disentangling
  • Disentangling a multilinear factor
  • Feynman's operational calculi for noncommuting operators
  • Iterated disentangling

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