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On the Hermitian Optical Phase Operator
Abstract
It has long been believed that no Hermitian optical phase operator exists. However, such an operator can be constructed from the phase states. We demonstrate that its properties are precisely in accord with the results of semiclassical and phenomenological approaches when such approximate methods are valid. We find that the number-phase commutator differs from that originally postulated by Dirac. This difference allows the consistent use of the commutator for inherently quantum states. It also leads to the correct periodic phase behaviour of the Poisson bracket in the classical regime.
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Citations
Cited by
Methods in Theoretical Quantum Optics
Barnett, S. M., & Radmore, P. M. (2002) · doi:10.1093/acprof:oso/9780198563617.001.0001 · Cited by 1,211
Self-citationSimple theoretical tools for low dimension Bose gases
Castin, Y. (2004) · Journal de Physique IV (Proceedings) · doi:10.1051/jp4:2004116004 · Cited by 117
Pegg, D. T., & Barnett, S. M. (1997) · Journal of Modern Optics · doi:10.1080/09500349708241868 · Cited by 63
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Metadata
- Authors
- Barnett, S. M., & Pegg, D. T.
- Venue
- Journal of Modern Optics
- Publisher
- Informa UK Limited
- Published
- 1989-01
- Volume
- 36
- Issue
- 1
- Pages
- 7-19
- ISSN
- 0950-0340 (ISSN-L)
- 1362-3044
- OpenAlex
- W2060653990
- Cited by
- 541
- References
- 0
- FWCI
- 23.01
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: On the Hermitian Optical Phase Operator. https://app.cochat.ai/papers/10.1080/09500348914550021
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- Barnett, S. M., & Pegg, D. T. (1989). On the Hermitian Optical Phase Operator. Journal of Modern Optics. https://doi.org/10.1080/09500348914550021
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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