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Feynman's Operational Calculus and Beyond
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Feynman's Operational Calculus and Beyond: Noncommutativity and Time-Ordering

Gerald W Johnson, Michel L. Lapidus, and Lance Nielsen


This book provides an abstract theory of Feynman’s operational calculus for functions of (typically) noncommuting operators. Although it is inspired by Feynman’s original heuristic suggestions and time-ordering (or disentangling) rules in his seminal 1951 paper, as is made clear in the introduction (Chapter 1) and elsewhere in the text, the theory developed in this book also goes well beyond them in a number of directions which were not anticipated in Feynman’s work. In particular, the work presented in this volume is oriented towards dealing with abstract and (typically) noncommuting linear o ... More

Keywords: disentangling, Feynman, operational calculus, noncommuting, operator, time-ordering

Bibliographic Information

Print publication date: 2015 Print ISBN-13: 9780198702498
Published to Oxford Scholarship Online: September 2015 DOI:10.1093/acprof:oso/9780198702498.001.0001


Affiliations are at time of print publication.

Gerald W Johnson, author
Professor Emeritus, University of Nebraska, Lincoln

Michel L. Lapidus, author
Professor of Mathematics, University of California, Riverside

Lance Nielsen, author
Professor of Mathematics, Creighton University