Packet quantization of the electromagnetic field using elementary wave packets as basis functions
DOI:
https://doi.org/10.17721/1812-5409.2024/2.15Keywords:
photon, spatial localization, elementary wave packets, Planck's formulaAbstract
The possibility of positional localization of a photon in space is shown. The proposed technique is based on the use of operators for the creation and destruction of photon packets and corresponding wave packets. As the latter, an orthonormal series of elementary wave packets (EWP), proposed in 2009 to describe, in particular, femtosecond optical pulses, was used. The electromagnetic structure of photons and the formula for their energy have been obtained. The latter depends on the ratio of the order of the EWP function n to the duration of the photon pulse τ. Therefore, the structure of a photon at a fixed energy can be different, in particular, at n ≫ 1, it turns into an ordinary harmonic signal. The results were used to write down a modified formula for the thermal radiation of an absolutely black body - Planck's formula.
Pages of the article in the issue: 96 - 99
Language of the article: English
References
Babaei, H., Mostafazadeh, A. (2017) Quantum mechanics of a photon. arXiv : 1608.06479v3 [quant-ph] 18 Sept.2017.
Bennet, R. (2016) A physically motivated quantization of the electromagnetic field. European J. of Physics 37.
Bykov, V. (2008). Laser electrodynamics .Cambridge Scholars.
Debierre, V. et al (2015) Fermi golden rule beyond the Zeno regime. arXiv : 1501.04474v1[quantum-ph]19Jan.2015.
Hodgson, D.(2023). A theory of local photons with applications in quantum field theory. arXiv : 2303.04706v1 [quantum-ph] 8 Mar.2023.
Khelladi, M.(2021) Femtosecond laser pulses : generation, measurement and propagation. Academia.edu (http://dx.doi.org/10.5772/intechopen.95978).
Lerner, P., Cutler, P., Miskovsky, N. (2015) Coherence properties of blackbody radiation and application toenergy harvesting and imaging with nanoscale rectennas. J.of Nanophotonics. 9(1) : 093044-1.
Loudon, R (2003) The quantum theory of light, 3rd ed. Oxford University Press, New York.
Mehta, C., Wolf, E.(1967) Coherence properties of blackbody radiation. III.Cross-spectral tensors.- Physical Review.161.p.1328.
Mygashko, V., Ovechko, V.(2018) Spectral Particularities of Femtosecond Optical Pulse Propagating in Dispersive Medium. Ukrainian Journal of Physics, 63. N 6. p.479.
Ovechko, V. (2009) Orthogonal normalized base for radio signals. Bulletin of University Kyiv, Ser.Physics & Mathematics. №1. p.196. [in Ukrainian].
Ovechko, V. (2012) Femtosecond optics – optics of the elementary waves packets. J. of Optical Society of America B 29. p. B799.
Rag, H., Gea-Banacloche, J.( 2017) Two-level atom excitation probability for single- and N-photon wave packets. Physical Review A. (arXiv: 1707.02351v1 [ quant-ph ] ).
Raimer, M., Polakos, P.(2023) States, Modes, Fields, and Photons in Quantum Optics. Acta Physica Polonica A, 143. №6. p.S28.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2024 Volodymyr Ovechko

This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).