Extracting linear and bilinear factors in Feynman's operational calculi

G. W. Johnson, B. S. Kim

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

The operation of 'disentangling' is the key to Feynman's operational calculi for non-commuting operators. Hence, formulas which simplify this procedure under various conditions are central to the subject. The main results here make it possible to carry out the disentangling in an iterative manner. The linear (alternatively, bilinear) term alluded to in the title of the paper refers to the first (alternatively, first and second) step (or steps) of the process. These results have many further consequences some of which are given in this paper.

Original languageEnglish
Pages (from-to)181-200
Number of pages20
JournalMathematical Physics Analysis and Geometry
Volume6
Issue number2
DOIs
StatePublished - May 2003

Keywords

  • Autonomous brackets
  • Disentangling
  • Extracting a linear factor
  • Feynman's operational calculus for noncommuting operators

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