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Vacuum Stress between Conducting Plates: An Image Solution

Brown, Lowell S., Maclay, G. Jordan·1969·Physical Review
DOI 10.1103/physrev.184.1272
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Abstract

The zero-point fluctuations of the electromagnetic field give rise to an attractive force between two perfectly conducting parallel plates, the Casimir force. We discuss the structure of the electromagnetic stress-energy tensor in the region between the plates for finite temperatures as well as for the zero-temperature limit, and we describe the relationship of its components to the thermodynamic variables of the radiation field. The stress-energy tensor is defined so that infinite quantities never appear, and it is explicitly computed with the aid of an image-source construction of the Green's function. The finite-temperature case involves both an infinite set of spatial images and an infinite sum of temperature-dependent images.

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Research works printed but not linked: 16

  1. H. B. G. Casimir, 1948, Phys. Rev., 73, 360, 10.1103/PhysRev.73.360 · DOI
  2. E. M. Lifshitz, 1955, Zh. Eksperim. i Teor. Fiz., 29, 94
  3. L. D. Landau, 1960, Electrodynamics of Continuous Media
  4. I. E. Dzyaloshinskii, 1961, Usp. Fiz. Nauk, 73, 381, 10.3367/UFNr.0073.196103b.0381 · DOI
  5. T. H. Boyer, 1968, Phys. Rev., 174, 1631, 10.1103/PhysRev.174.1631 · DOI
  6. H. B. G. Casimir, 1948, Koninkl. Ned. Akad. Wetenschap. Proc., 51, 793
  7. M. Fierz, 1960, Helv. Phys. Acta, 33, 855
  8. J. Mehra, 1967, Physica, 37, 145, 10.1016/0031-8914(67)90115-2 · DOI
  9. C. M. Hargreaves, 1965, Koninkl. Ned. Akad. Wetenschap. Proc., B68, 231
  10. M. Planck, 1900, Verhandl. Deut. Physikalischen Ges., 2, 237
  11. M. J. Sparnaay, 1958, Physica, 24, 751, 10.1016/S0031-8914(58)80090-7 · DOI
  12. W. Block, 1960, Trans. Faraday Soc., 56, 1597, 10.1039/tf9605601597 · DOI
  13. H. B. G. Casimir, 1953, Physica, 19, 846, 10.1016/S0031-8914(53)80095-9 · DOI
  14. T. H. Boyer, 1968, Phys. Rev., 174, 1764, 10.1103/PhysRev.174.1764 · DOI
  15. L. S. Brown, 1966, Phys. Rev., 150, 1338, 10.1103/PhysRev.150.1338 · DOI
  16. L. P. Kadanoff, 1962, Quantum Statistical Mechanics

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Metadata

Authors
Brown, L. S., & Maclay, G. J.
Venue
Physical Review
Publisher
American Physical Society (APS)
Published
1969-08-25
Volume
184
Issue
5
Pages
1272-1279
ISSN
0031-899X
DOI
10.1103/physrev.184.1272
Cited by
434
References
0
Language
en
Licence
link.aps.org/licenses/aps-default-license (vor)

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