The Casimir effect
Abstract
Introduction/purpose: The quantization of the electromagnetic field gives rise to quantum fluctuations which in turn produce a force on macroscopic boundaries. This phenomenon is called the Casimir effect.
Method: The second quantization of the electromagnetic field is employed. The Zeta function regularization technique has been applied.
Results: Because of the electromagnetic field quantization, a force on macroscopic boundaries is observed.
Conclusions: Vacuum fluctuations due to quantum effects give macro- scopic results.
References
Casimir, H.B.G. 1948. On the attraction between two perfectly conducting plates. Proc. Kon. Ned. Akad. Wet., 51, p.793 [online]. Available at: https://dwc.knaw.nl/DL/publications/PU00018547.pdf [Accessed: 18 November 2022].
Casimir, H.B.G. 1953. Introductory remarks on quantum electrodynamics. Physica, 19(1-12), pp.846-849. Available at: https://doi.org/10.1016/S0031-8914(53)80095-9.
Casimir, H.B.G. & Polder, D. 1948. The Influence of Retardation on the London- van der Waals Forces. Physical Review, 73(4), pp.360-372. Available at: https://doi.org/10.1103/PhysRev.73.360.
Dzyaloshinskii, I.E., Lifshitz, E.M. & Pitaevskii, L.P. 1961. General Theory of van der Waals’ Forces. Soviet Physics Uspekhi, 4(2), pp.153-176. Available at: https://doi.org/10.1070/PU1961v004n02ABEH003330.
Fabiano, N. 2020. Zeta function and some of its properties. Vojnotehnički glasnik/Military Technical Courier, 68(4), pp.895-906. Available at: https://doi.org/10.5937/vojtehg68-28535.
Fabiano N. 2021. Corrections to propagators of quantum electrodynamics. Voj- notehnički glasnik/Military Technical Courier, 69(4), pp.930-940. Available at: https://doi.org/10.5937/vojtehg69-30604.
Fabiano N. 2022. Regularization in quantum field theories. Vojnotehnički glas- nik/Military Technical Courier, 70(3), pp.720-733. Available at: https://doi.org/10.5937/vojtehg70-34284.
Lifshitz, E.M. 1956. The Theory of Molecular Attractive Forces between Solids. Journal of Experimental and Theoretical Physics (JETP)/Soviet Physics, 2(1), pp.73-83 [online]. Available at: http://jetp.ras.ru/cgi-bin/e/index/e/2/1/p73?a=list. [Accessed: 18 November 2022].
Schwinger, J. 1951. On Gauge Invariance and Vacuum Polarization. Physical Review, 82(5), pp.664-679. Available at: https://doi.org/10.1103/PhysRev.82.664.
Schwinger, J. 1975. Casimir effect in source theory. Letters in Mathematical Physics, 1(1), pp.43-47. Available at: https://doi.org/10.1007/BF00405585.
Schwinger, J. 1992a. Casimir energy for dielectrics. PNAS, 89(9), pp.4091- 4093. Available at: https://doi.org/10.1073/pnas.89.9.4091.
Schwinger, J. 1992b. Casimir effect in source theory II. Letters in Mathematical Physics, 24(1), pp.59-61. Available at: https://doi.org/10.1007/BF00430003.
Schwinger, J. 1992c. Casimir effect in source theory III. Letters in Mathematical Physics, 24(3), pp.227-230. Available at: https://doi.org/10.1007/BF00402898.
Copyright (c) 2023 Nikola Fabiano
This work is licensed under a Creative Commons Attribution 4.0 International License.
Proposed Creative Commons Copyright Notices
Proposed Policy for Military Technical Courier (Journals That Offer Open Access)
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).