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Quantum mechanical phase and time operator
Open accessAbstract
The phase operator for an oscillator is shown not to exist. It is replaced by a pair of non-commuting sin and cos operators which can be used to define uncertainty relations for phase and number. The relation between phase and angle operators is carefully discussed. The possibility of using a phase variable as a quantum clock is demonstrated and the states for which the clock is most accurate are constructed.
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Citations
Cited by
Phase properties of the quantized single-mode electromagnetic field
Pegg, D. T., & Barnett, S. M. (1989) · Physical Review A · doi:10.1103/physreva.39.1665 · Cited by 873
Pegg, D. T., & Barnett, S. M. (1997) · Journal of Modern Optics · doi:10.1080/09500349708241868 · Cited by 63
II Quantum Phenomena in Optical Interferometry
Hariharan, P., & Sanders, B. C. (1996) · Progress in Optics · doi:10.1016/s0079-6638(08)70313-5 · Cited by 36
Linear canonical transformations and quantum phase: a unified canonical and algebraic approach
Hakioglu, T. (1999) · Journal of Physics A: Mathematical and General · doi:10.1088/0305-4470/32/22/312 · Cited by 9
Metadata
- Authors
- Susskind, L., & Glogower, J.
- Venue
- Physics Physique Fizika
- Publisher
- American Physical Society (APS)
- Published
- 1964-07-01
- Volume
- 1
- Issue
- 1
- Pages
- 49-61
- ISSN
- 0554-128X (ISSN-L)
- OpenAlex
- W2234912242
- Cited by
- 808
- References
- 0
- FWCI
- 2.02
- Type
- journal article
- Language
- en
- Open access
- bronze
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- CoChat. (2026). Citation check: Quantum mechanical phase and time operator. https://app.cochat.ai/papers/10.1103/physicsphysiquefizika.1.49
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- Susskind, L., & Glogower, J. (1964). Quantum mechanical phase and time operator. Physics Physique Fizika. https://doi.org/10.1103/physicsphysiquefizika.1.49
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
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.
