A new diagrammatic methodology for non-relativistic quantum electrodynamics

Jenkins, Robert, Andrews, David L. and Davila Romero, Luciana C. (2002) A new diagrammatic methodology for non-relativistic quantum electrodynamics. Journal of Physics B: Atomic, Molecular and Optical Physics, 35 (3). pp. 445-468. ISSN 1361-6455

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A new diagrammatic basis is presented for quantum electrodynamical calculations on photonic processes and interactions in atomic and molecular systems. Established through a multi-dimensional representation, in which each dimension signifies photon interactions of a differentiable type, the resultant interaction graphs prove to have advantages over time-ordered diagrams. The representation registers an isomorphism of different photonic interactions, and allows the treatment of all congruent processes within a common framework. Elementary examples are given to exhibit this feature. Principles are delineated for the construction of state-sequence diagrams from the interaction plane graphs. For any given process each such diagram fully embodies the entire set of time-ordered diagrams. Implementation of the method is extensively illustrated for a variety of high-order applications relevant to current laser experimentation. The new methods prove to expedite analysis, affording a highly compact means of conveying information and, in higher-order applications, circumventing the calculational interpretation of an extremely large number of time-ordered diagrams.

Item Type: Article
Faculty \ School: Faculty of Science > School of Chemistry
UEA Research Groups: Faculty of Social Sciences > Research Groups > Accounting & Quantitative Methods
Faculty of Social Sciences > Research Groups > Research in Mathematics Education
Faculty of Science > Research Groups > Chemistry of Light and Energy
Faculty of Science > Research Groups > Physical and Analytical Chemistry (former - to 2017)
Faculty of Science > Research Groups > Centre for Photonics and Quantum Science
Depositing User: Rachel Smith
Date Deposited: 27 Oct 2010 11:34
Last Modified: 09 Feb 2023 13:38
URI: https://ueaeprints.uea.ac.uk/id/eprint/10708
DOI: 10.1088/0953-4075/35/3/301

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