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Quantum Theory of the Electromagnetic Field in a Variable-Length One-Dimensional Cavity
Abstract
The quantum theory of linearly polarized light propagating in a 1-dimensional cavity bounded by moving mirrors is formulated by utilizing the symplectic structure of the space of solutions of the wave equation satisfied by the Coulomb-gauge vector potential. The theory possesses no Hamiltonian and no Schrödinger picture. Photons can be created by the exciting effect of the moving mirrors on the zero-point field energy. A calculation indicates that the number of photons created is immeasurably small for nonrelativistic mirror trajectories and continuous mirror velocities. Automorphic transformations of the wave equation are used to calculate mode functions for the cavity, and adiabatic expansions for these transformations are derived. The electromagnetic field may be coupled to matter by means of a transformation from the interaction picture to the Heisenberg picture; this transformation is generated by an interaction Hamiltonian.
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Cited by
Advances in the Casimir Effect
Bordag, M., Klimchitskaya, G. L., Mohideen, U., & Mostepanenko, V. M. (2009) · doi:10.1093/acprof:oso/9780199238743.001.0001 · Cited by 1,284
Nonuniqueness of canonical field quantization in Riemannian space-time
Fulling, S. A. (1973) · Physical Review D · doi:10.1103/physrevd.7.2850 · Cited by 1,044
Observation of the dynamical Casimir effect in a superconducting circuit
Wilson, C. M., Johansson, G., Pourkabirian, A., Simoen, M., Johansson, J. R., Duty, T., Nori, F., & Delsing, P. (2011) · Nature · doi:10.1038/nature10561 · Cited by 946
Radiation from a moving mirror in two dimensional space-time: conformal anomaly
Fulling, S. A., & Davies, P. C. W. (1976) · Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences · doi:10.1098/rspa.1976.0045 · Cited by 707
Analog Hawking radiation from an acoustic black hole in a flowing polariton superfluid
Gerace, D., & Carusotto, I. (2012) · Physical Review B · doi:10.1103/physrevb.86.144505 · Cited by 88
Metadata
- Authors
- Moore, G. T.
- Venue
- Journal of Mathematical Physics
- Publisher
- AIP Publishing
- Published
- 1970-09-01
- Volume
- 11
- Issue
- 9
- Pages
- 2679-2691
- ISSN
- 0022-2488 (ISSN-L)
- 1089-7658
- OpenAlex
- W1967903203
- Cited by
- 756
- References
- 0
- FWCI
- 0.31
- Type
- journal article
- Language
- en
- Open access
- closed
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- Moore, G. T. (1970). Quantum Theory of the Electromagnetic Field in a Variable-Length One-Dimensional Cavity. Journal of Mathematical Physics. https://doi.org/10.1063/1.1665432
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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.
