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

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

Published in print:
2015
Published Online:
September 2015
ISBN:
9780198702498
eISBN:
9780191772160
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198702498.001.0001
Subject:
Mathematics, Mathematical Physics, Numerical Analysis

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 ... More


Propagators and fields

Tom Lancaster and Stephen J. Blundell

in Quantum Field Theory for the Gifted Amateur

Published in print:
2014
Published Online:
June 2014
ISBN:
9780199699322
eISBN:
9780191779435
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199699322.003.0018
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter connects Green’s functions to propagators in a quantum field picture and introduce the Feynman propagator, which involves time-ordering of operators. This is applied to Yukawa’s model of ... More


Introduction

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

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

Published in print:
2015
Published Online:
September 2015
ISBN:
9780198702498
eISBN:
9780191772160
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198702498.003.0001
Subject:
Mathematics, Mathematical Physics, Numerical Analysis

The first part of the introduction provides a (short) historical overview of Feynman’s development of his operational calculus, i.e. the formation of functions of several not necessarily commuting ... More


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