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Cited by 326

The DOI matches its Crossref record; 43 of the 43 references it cites were found in a registry or an index.

Operator ordering in quantum optics theory and the development of Dirac s symbolic method

Open access
Fan, Hong-yi·2003·Journal of Optics B: Quantum and Semiclassical Optics

Abstract

We present a general unified approach for arranging quantum operators of optical fields into ordered products (normal ordering, antinormal ordering, Weyl ordering (or symmetric ordering)) by fashioning Dirac's symbolic method and representation theory. We propose the technique of integration within an ordered product (IWOP) of operators to realize our goal. The IWOP makes Dirac's representation theory and the symbolic method more transparent and consequently more easily understood. The beauty of Dirac's symbolic method is further revealed. Various applications of the IWOP technique, such as in developing the entangled state representation theory, nonlinear coherent state theory, Wigner function theory, etc, are presented.

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Metadata

Authors
Fan, H.-Y.
Venue
Journal of Optics B: Quantum and Semiclassical Optics
Published
2003-06-13
Volume
5
Issue
4
Pages
R147-R163
ISSN
  • 1464-4266 (ISSN-L)
  • 1741-3575
OpenAlex
W2064777479
Cited by
326
References
43
FWCI
10.54
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: Operator ordering in quantum optics theory and the development of Dirac s symbolic method. https://app.cochat.ai/papers/10.1088/1464-4266/5/4/201
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Fan, H.-Y. (2003). Operator ordering in quantum optics theory and the development of Dirac s symbolic method. Journal of Optics B: Quantum and Semiclassical Optics. https://doi.org/10.1088/1464-4266/5/4/201

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.