Resonance in Non-Stationary Casimir Effect

  • C. K. Law
Conference paper


The Casimir force between two stationary conducting plates1 exhibits mechanical effects of the quantum vacuum. One interesting question is the non-stationary behavior of the Casimir effect when one of the conducting plates is moving. As the vacuum state of the field is continuously distorted by a moving boundary, the Casimir force can be modified dynamically. The problem has been studied by several authors.2–7 Our focus here is the resonance situation where the boundary oscillates periodically with the period of some of the eigenfrequencies of the unperturbed cavity modes. Under this resonance condition the vacuum field and the moving-mirror become strongly coupled to each other. In this paper, we discuss several exact results in a 1-D system.


Resonance Effect Casimir Force Quantum Vacuum Vacuum Field Casimir Effect 
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  1. 1.
    H.B.G. Casimir, Pro. K. Ned. Akad. Wet. 51, 793 (1948).MATHGoogle Scholar
  2. 2.
    C.K. Law, Phys. Rev. Lett. 73, 1931 (1994).CrossRefGoogle Scholar
  3. 3.
    G. Barton, in `Cavity Quantum Electrodynamics' (P. R. Berman, ed.); Supplement: Advances in atomic, molecular and optical physics, Academic Press. New York (1994); also this volume.Google Scholar
  4. 4.
    M.T..Jaekel and S. Reynaud, J. Phys. I (France) 2, 149 (1992).CrossRefGoogle Scholar
  5. 5.
    V.V. Dodonov, A.B. Klimov, and D.E. Nikonov, J. Math. Phys. 34, 2742 (1993).MathSciNetCrossRefMATHGoogle Scholar
  6. 6.
    G.T. Moore, J. Math. Phys. 11, 2679 (1970).CrossRefGoogle Scholar
  7. 7.
    S.A. Fulling and P.C.W. Davies, Proc. Roy. Soc. London A 348, 393 (1976)MathSciNetCrossRefMATHGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • C. K. Law
    • 1
  1. 1.Department of Physics and AstronomyUnivesity of RochesterRochesterUSA

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